test: compare fixed centered reconstruction on audited square faces

Horizontal y=56 and vertical x=38 through box 1, normal coordinates
[12.5..26.125] (root128 physical). Nearest-ACTIVE mapping with
deterministic tie rule (distance, finer level, smaller j, smaller i),
duplicate-cell rejection, stored centers and displacements. Replaces my
earlier offsets, which mapped two target pairs to the same U128 cell.
U512 spacing 128/512 and root step r -> U512 step 4r unchanged.
Tests: 24 unique cells per case, nested 3 L0 + 5 L1 + 4 L2 per transect,
U128 max displacement 0.625.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

README.md

@@ -123,7 +123,9 @@ with CudaContext(0) as ctx, FixedPatchStepper(cfg, (8, 6, 24, 18), context=ctx,
 ```
 
 Scope and limits:
-- D2Q9, SRT, FP32, double buffer, unshifted, no LES or forcing; fixed 2:1 patch(es), two levels (or one nested third).
+- The examples below use D2Q9, SRT, FP32, double buffer, unshifted, no LES or
+  forcing. Fixed 2:1 hierarchies can use level lists of arbitrary depth; the
+  legacy two/three-level forms are shown below.
 - `coarse_boundary="periodic"` (default) or `"slot_reservoir"` (bottom slot, top
   reservoir; patch needs `y0 >= 4`, `y1 <= ny-4`). Periodic mode ignores the wall/slot config fields.
 - Object centers/radii use the coarse **cell-edge** frame (cell `I` spans `[I, I+1)`),
@@ -135,16 +137,20 @@ Scope and limits:
   divide the WHOLE fine allocation, i.e. `2*(y1-y0)+8` by `2*(x1-x0)+8` including the
   four-cell ghost band. It gives results identical to dense storage and is
   infrastructure for future block AMR, not a speedup.
-- Several separated patches: pass a sequence of `(x0, y0, x1, y1)`
-  rectangles as `bounds`, at least 4 coarse cells apart, with both `fine_block`
-  and `base_block`. The fine level is then one level-wide grid `(2*ny, 2*nx)`:
+- Several regions: pass a sequence of `(x0, y0, x1, y1)` rectangles as
+  `bounds`, with both `fine_block` and `base_block`. Transfers are built once
+  from their union; adjacent, overlapping and concave unions are accepted when
+  their actual dependencies close. There is no fixed rectangle-gap rule.
+  The fine level is then one level-wide grid `(2*ny, 2*nx)`:
   `run.patch.fine_shape` gives it, `initialize`/`download` use it, and only the
-  patch windows (active region plus 4-cell ghost band, origin `(2*y0-4, 2*x0-4)`)
-  are stored; each window must align with `fine_block`. Order of rectangles does
-  not matter. `fine_objects`/`jets` work as for one patch: each circle (same
-  coarse cell-edge frame) must lie wholly inside one patch's active region with
+  grid-aligned tiles intersecting the union plus its four-cell ghost band are stored.
+  Block sizes must divide the level-wide grid; rectangle edges need not align
+  with tiles. Order of rectangles does not matter. `fine_objects`/`jets` work
+  as for one patch: each circle (same coarse cell-edge frame) must lie wholly
+  inside the union's active region with
   its boundary stencil clear of transfer cells; a jet may not select links of two
-  different bodies, even across patches. No wall-touching patches or nesting yet.
+  different bodies, even across regions. Wall-touching patches remain unsupported.
+  For nesting, use the level lists or legacy child forms below.
 
   ```python
   cfg = LBMConfig(nx=32, ny=16, viscosity=.1)
@@ -158,7 +164,7 @@ Scope and limits:
       coarse_g, fine_g = run.download()  # coarse: NaN on every covered cell;
                                          # fine: NaN on every non-ACTIVE cell
   ```
-- Three levels (one nested chain): add `child=(x0, y0, x1, y1)` in
+- Legacy three-level scalar chain: add `child=(x0, y0, x1, y1)` in
   **L1 window cells** (the patch's fine grid including its 4-cell ghost band) and
   `child_block`, with `fine_block` and `base_block`. L2 must sit inside L1's
   ACTIVE cells, away from L1's ghost band and transfer footprint (checked before
@@ -192,14 +198,30 @@ Scope and limits:
       run.step(4)
       coarse_g, l1_g, l2_g = run.download()  # solids/covered/nonleaves are NaN
   ```
-- Not available: per-link surface exchange/force readout in blocked mode,
-  checkpoints, moving bodies, L1 bodies/Jets in a three-level chain,
-  several patches per level with nesting, dynamic refinement, `Simulation`
-  integration. Validation so far is storage/operator equivalence and short runs,
-  not accuracy, convergence or long-time stability. The new L2-body GPU gates
-  (layouts, masks, amplitude reversal, legacy equivalence) and independent
-  every-substep numerical replay remain required acceptance checks; CPU tests
-  alone do not establish GPU numerical correctness.
+- Level lists: `refinements[l]` describes level `l+1` in allocated level-`l`
+  integer cells; use a rectangle list for a union, or a scalar rectangle for a
+  single window (a scalar child requires a scalar parent). `level_blocks`,
+  `level_objects` and `level_jets` each have one entry per level, including L0.
+  These lists are mutually exclusive with the legacy patch keywords. Three or
+  more levels require all-blocked storage and bodies/Jets only on the finest
+  level. Every adjacent pair must preserve inherited ACTIVE coverage, valid
+  donors/receivers, surviving pulls and the upstream transfer footprint.
+  Level `l` takes `2**l` steps per base interval. This describes implemented
+  topology and scheduling, not accuracy or convergence qualification.
+- Blocked body levels can enable `observe_raw_exchange=True` and call
+  `read_raw_exchange(body_id, level=...)` after a completed base interval.
+  It reduces unique cut-link observations into wall/aperture/total force,
+  torque and mass exchange in base-lattice units per unit depth, for the last
+  base interval (default) or `window="last_substep"`.
+  `observe_window_exchange=True`, alongside `observe_raw_exchange=True`, enables
+  `start_exchange_window()` / `read_exchange_window(body_id, level=...)` across
+  completed base intervals. These are raw boundary-reaction diagnostics, not a general
+  stress or nozzle-load accuracy claim; dense body layouts are unsupported.
+- Not available: checkpoints, moving bodies, L1 bodies/Jets in a three-level
+  chain, automatic dynamic refinement, `Simulation` integration. Qualification
+  depends on the tested configuration; see [the validation scope](docs/validation/2d_scope.md).
+  CPU topology/schedule tests alone do not establish GPU numerical correctness,
+  general convergence or long-time stability.
 
 ## Installation
 

docs/development/les_dev8403956_integration.md

@@ -0,0 +1,62 @@
+# Selective LES normalization integration on dev8403956
+
+This change reuses the reviewed correction from 5465832 without merging its
+branch history. The only production change is the two closed-form coefficients
+18 -> 18 sqrt(2) and their explanatory comments in turbulence_smag.cuh. Its SHA256
+is a3db46c2e7d27530b2d1436e65cdbed0b72cc7e047bfbeef2a640877271b51aa.
+Defaults, iterative/deviatoric/capped closure, collision dispatch, AMR guards,
+and all other production source files are unchanged.
+
+## Separate source contract; unchanged experiment
+
+The single existing flow runner now accepts `--experiment dev8403956`.
+Its separate source_pins_dev8403956.json pins all 101 production files from the
+committed 8403956 baseline; corrected mode permits only the exact reviewed
+header substitution. Results record the actual checkout commit, import path,
+experiment name and manifest SHA256. No arbitrary manifest-path override exists.
+
+Omitting the option still selects the original historical source manifest.
+That manifest, the original paired receipts, scalar preparation manifests and
+independent continuum oracle are unchanged. Historical baseline and corrected
+receipts remain evidence for their own exact sources, not new dev receipts.
+Historical guards intentionally reject this different dev source tree. Eight
+production files already differed between the historical source snapshot and
+8403956; neither the old manifest nor its acceptance is silently regenerated.
+
+The physical experiment and every numerical acceptance threshold are unchanged:
+8 x 34 nodes, halfway y walls, periodic x, unforced D2Q9/SRT, shifted FP32,
+double-buffer streaming, Cs=0/.16/1, checkpoints 519/1038/2075. Each case has one
+actual advancing warm-up followed by complete initial-state restoration before
+READY. Total launches are 6,225 measured plus three warm-ups. Cs=1 remains an
+amplified diagnostic, not a physical coefficient recommendation.
+
+## Host checks
+
+    PYTHONDONTWRITEBYTECODE=1 python -m unittest discover -s tests/unit -p 'test_smagorinsky_normalization.py' -v
+    PYTHONDONTWRITEBYTECODE=1 python -m unittest discover -s tests/unit -p 'test_les_flow_*.py' -v
+
+The direct-current-header test is copied unchanged from reviewed 5465832:
+120 tensor parameter cases, Cs=0/equilibrium and omega guards, converged
+trace-free iterative comparison, and mutation detection in both lattice
+algebras. This is scalar D2/D3 algebra coverage, not 3D-flow qualification.
+Flow tests retain analytic/reference checks and add current named-source,
+reverse-patched baseline, variant rejection, unrelated-source tampering and
+immutable historical-default checks. The temporary baseline is constructed
+only inside a test directory; production is never reverse-patched.
+
+## Pending final-commit GPU gate
+
+After independent review and explicit executor authorization, run from the
+exact committed candidate checkout, selecting the authorized physical GPU:
+
+    CUDA_VISIBLE_DEVICES=<physical-GPU> PYTHONDONTWRITEBYTECODE=1 python tests/validation/run_uniform_les_flow.py --root "$PWD" --experiment dev8403956 --variant corrected --run-gpu --device 0 --output <new-evidence-directory>/corrected.json
+
+Retain all source hashes, exact commit/import/device identity, manifest hash,
+three READY/reset records, complete result JSON, stdout/stderr and actual exit.
+Require all frozen gates, DONE passed=true and exit 0. Compare with historical
+corrected evidence without relabeling it as current evidence. The old-vs-new
+normalization discrimination already exists; no new baseline GPU run is needed
+unless review finds a changed exercised uniform solver path.
+
+No GPU result is claimed by this integration preparation. This does not expand
+LES qualification to MRT, forcing, AMR LES or three-dimensional turbulent flows.

docs/development/projected_pair_explosion.md

@@ -0,0 +1,57 @@
+# Experimental projected G explosion
+
+`FixedPatchStepper(..., explosion="projected_linear")` changes only the existing
+G-to-G explosion reconstruction. The omitted/default `"constant"` selector retains
+the same kernel, launch arguments and device allocations. Projected mode adds two
+compact tables per adjacent pair; recursion, collision, BFL, restriction, buffer
+ownership and synchronized publication are unchanged. `remap_child` preserves it.
+
+Runtime eligibility is periodic-root, fully blocked D2Q9/SRT/FP32, body/Jet-free,
+without LES; the fixed-patch backend has no forcing interface. Shifted and unshifted
+storage use the same reconstruction. One generic builder handles scalar windows,
+unique union rows and all adjacent hierarchy pairs without depth/rectangle caps.
+Donors are original explosion donors intersected with owned, uncovered ACTIVE
+cells. An axis uses centered differences only if both neighbors are legal;
+otherwise both addresses repeat the center. Nested layout periodicity is explicit.
+No covered cells, holes, inactive cells or stale halo copies enter the stencil.
+
+The 33-line kernel is unchanged from our `519473a` experiment and retains its
+mathematical attribution. Host tests cover union decomposition, concavity, narrow
+gaps, grazing packet paths, offsets, sparse/nested owner addresses, three/four-level
+source timing, unchanged constant dispatch, remapping and shifted/unshifted actual
+kernel arithmetic compiled as host C++. These are not CUDA or flow validation.
+
+## Reviewed bounded evidence
+
+The `1aa8110` CUDA gate, with production exactly `a135252`, passed exact-dev
+omitted/default and explicit-constant equivalence, per-population reconstruction,
+scalar/union/four-level scheduling, alternate layouts, and changed remapping in
+both storage modes. Operator maximum error was 2.98023224e-8; the eight-step
+concave replay maximum was 1.58037614e-7. Whole-step mass/momentum remain
+finite diagnostics, not an FP32 conservation certificate. Reviewed evidence:
+`7aa66ff0542175092753ea099f40b903ece0527e`.
+
+The fresh four-case `2cf9853` N128/256 Taylor–Green repeat retained all `11901a7`
+settings and gates. All 20 main scalar rows and 260 early-pressure samples matched
+the older receipts exactly; this is not field-array equality. Projected worst
+velocity was 0.001995299260844 versus 0.002 (only 0.235% margin), pressure
+0.012157174904932 and energy 0.001184362645162. Constant velocity
+0.004418076615223 failed its gate, so the aggregate verdict remains false.
+The projected early sampled pressure peak was 0.021621453573334; it remains a
+descriptive sampled maximum. Reviewed evidence: `90849a55cad4a0da9b72747da7bfe6eb75962a44`.
+
+The old N64 projected failures remain relevant. These results support only this
+bounded plumbing gate and short periodic Re100 smooth-decay experiment. They do
+not establish union/multilevel physics accuracy, convergence, long-time stability,
+body/Jet, boundary, forcing, MRT or LES suitability. Constant remains the default.
+
+## Separate LES source profile
+
+The two older LES source manifests and the historical default are unchanged and
+correctly reject this different source tree. The existing LES runner now offers
+`--experiment a135252`, pinning all 101 actual committed corrected source files.
+Its explicit baseline-header override describes only a synthetic isolated reverse
+control, never the committed a135252 header. The unchanged corrected-only uniform
+LES regression (Cs=0/.16/1) is the remaining integration gate; no LES result is
+inherited from the projected evidence. The separate historical jet-CV `channel.py`
+pin mismatch predates this port and is not addressed here.

docs/fixed_three_level_multipatch.md

@@ -1,8 +1,11 @@
-# Fixed three-level separated patches
+# Fixed three-level rectangle unions
 
-`FixedPatchStepper` supports exactly three static, blocked levels with separated
-rectangle sets on either adjacent pair. This is not general AMR: there is no
-per-region timestep, moving geometry, dynamic refinement or L1 body support.
+This page describes the legacy three-level entry point of `FixedPatchStepper`,
+with rectangle unions on either adjacent pair. The `refinements` level-list
+entry point also supports arbitrary depth; three or more levels require
+all-blocked storage and bodies/Jets only on the finest level. This is not
+general AMR: there is no per-region timestep, moving geometry, automatic
+dynamic refinement or L1 body support in the three-level form.
 All regions share one current/spare buffer pair per level. The existing schedule
 advances L0 once, L1 twice and L2 four times per base step, with aggregate transfers.
 No CUDA kernel changes are involved.
@@ -30,12 +33,15 @@ are physically equivalent to parent set `[(4,4,12,12)]` with child set
 `[(8,8,16,16)]`. Reusing the same numbers after changing the parent frame can
 move the physical region.
 
-Both adjacent pairs require a Chebyshev gap of at least four in their own
-parent-cell units. The whole child union must preserve inherited ACTIVE
-coverage, uncovered ACTIVE donors/receivers, surviving pulls, and the upstream
+Both adjacent pairs are built from their unions, without a fixed rectangle-gap
+rule. Adjacent, overlapping and concave unions are accepted only when their
+actual transfer dependencies close. The whole child union must preserve
+inherited ACTIVE coverage, uncovered ACTIVE donors/receivers, surviving pulls, and the upstream
 restriction footprint. Sparse holes remain unowned; inherited INNER remains
-stream-only and OUTER remains invalid. Block sizes must align with every
-support edge, including its four-cell ghost band.
+stream-only and OUTER remains invalid. Block sizes must divide their allocated
+level grids. Sparse storage owns every grid-aligned tile intersecting the union
+plus its four-cell ghost band; rectangle and support edges need not align with
+tile edges.
 
 ## Example
 
@@ -65,6 +71,12 @@ CPU geometry, table, pre-CUDA rejection, schedule and cleanup tests:
 PYTHONPATH=src python -m unittest discover -s tests/unit -p 'test_refinement*.py' -v
 ```
 
+`tests/unit/test_union_refinement.py` covers union dependencies and tile
+ownership; `tests/unit/test_hierarchy.py` covers composed geometry through four
+levels. `tests/unit/test_raw_exchange.py` checks the four-level host schedule
+with CUDA mocks. These establish topology/control-flow coverage, not numerical
+qualification at every depth or interface shape.
+
 Explicit GPU gates are in
 `tests/validation/multigrid/test_refinement_three_level_multipatch_gpu.py`.
 They cover physical-frame equivalence, twins, asymmetric refinement, multiple

docs/synchronized_leaf_remap.md

@@ -1,11 +1,15 @@
 # Synchronized leaf G remap and manual continuation
 
 This is a CPU state-transfer component, **not a runtime adaptive solver**.
-It changes only a separated L2 rectangle set in a three-level, body-free,
-periodic hierarchy. L0/L1 topology, relaxation parameters, direction order,
+It changes only an L2 rectangle union in a three-level periodic hierarchy.
+The body-free case is shown first; stationary L2 bodies/Jets follow the bounded
+support contract below. L0/L1 topology, relaxation parameters, direction order,
 physical frame and completed time remain unchanged. Existing geometry checks
-validate child support/nesting and separation. The CPU helper itself adds no CUDA, scheduler, allocator, boundary handling,
-collision or ghost refill. A bounded runtime adapter is described below.
+validate child support/nesting and actual transfer dependencies, without a fixed
+rectangle-gap rule. The three-level remap limit is unchanged by the stepper's
+arbitrary-depth level-list support. The CPU helper itself adds no CUDA,
+scheduler, allocator, boundary handling, collision or ghost refill. A bounded
+runtime adapter is described below.
 
 ```python
 from CelerisLab.lbm.refinement import FixedPatchSet2D
@@ -29,11 +33,13 @@ origin is retained. Physical lower edges are `origin + spacing*(x,y)` on L0,
 `origin + spacing*(parent.fine_origin + (x,y)/4)` on L2.
 
 Factory options `coarse_boundary` and `objects` must declare `"periodic"` and
-an empty body collection (all levels). LBMConfig's channel settings do not
-select this operator's boundary mode. Geometry metadata is factory-created;
+an empty collection; L2 bodies use `child_objects` as described below.
+LBMConfig's channel settings do not select this operator's boundary mode.
+Geometry metadata is factory-created;
 manual mutation/forging of metadata is unsupported. Caller certifies the
-actual state has no bodies/forcing, that all device work and old readers are
-quiescent, and that inputs are the **current owned-leaf postcollision G**.
+actual state matches the declared boundary and has no forcing, that all device
+work and old readers are quiescent, and that inputs are the **current owned-leaf
+postcollision G**.
 Count/phase stamps check consistency, not freshness or active-buffer identity.
 
 `current_g` is three NumPy Q-major arrays `(9,ny,nx)`. For blocked inputs,
@@ -73,9 +79,10 @@ PYTHONPATH=src python -m unittest discover -s tests/unit -p 'test_synchronized_r
 
 `replacement = current.remap_child(rectangles)` returns a new ready
 `FixedPatchStepper` at the **same absolute step_count**. It supports only
-body-free periodic three-level runs whose existing L2 uses
-`child_rectangles_in_parent`. Scalar or union L1 parents are supported; scalar
-`child=` is deliberately rejected. L0/L1, relaxation and block sizes stay fixed.
+periodic three-level runs with no L0/L1 bodies and an existing L2
+`FixedPatchSet2D`; stationary L2 bodies/Jets follow the support contract below.
+Scalar or union L1 parents are supported; scalar `child=` is deliberately
+rejected. L0/L1, relaxation and block sizes stay fixed.
 No tagger, scheduler, in-place replacement, or general rollback is provided.
 
 The method holds the stepper lock, validates geometry, synchronizes its stream,
@@ -113,13 +120,14 @@ Per-population conservation is not an advancement target under collision.
 ### Bounded pinned-body extension
 
 `replacement = current.remap_child(rectangles, child_objects=original_objects)`
-also accepts stationary Circles in separated L2 rectangles. Every body’s
-**complete containing rectangle must remain identical**. Several bodies may
-share one pinned rectangle; there need not be any fluid-only rectangles.
-Separated fluid-only rectangles may be added, removed or moved. Existing
-nesting, four-cell gap, full-circle containment, reverse cut-link coverage and two-hop BFL
-transfer-footprint checks still apply. This is manual remapping, not adaptive
-body tracking or runtime body editing.
+also accepts stationary Circles inside the L2 union. Each body's **physical
+boundary, complete BFL support and current per-link velocity must remain
+identical**. Rectangles are not pinned: they may be split, merged or resized,
+and other fluid coverage may change, including within the same connected union,
+provided that physical support is unchanged. Existing nesting, union transfer
+dependencies, full-circle containment, reverse cut-link
+coverage and two-hop BFL transfer-footprint checks still apply. This is manual
+remapping, not adaptive body tracking or runtime body editing.
 
 Supply all original root edge-frame definitions in their construction order.
 Do not pass `current.child_boundary.objects`: those are projected fine-local copies.
@@ -128,8 +136,8 @@ state, remapping reprojects the supplied definition onto the old topology and
 compares exact ordered circle centers/radii, flags, physical cut links, body
 IDs, q, lever arms, hits, BFL support,
 legacy SurfaceActuation specification and current per-link velocity against
-the existing boundary. Omission, changed geometry/actuation and changed body
-rectangle fail without device reads or allocations; reordered bodies fail
+the existing boundary. Omission, changed geometry/actuation or changed physical
+boundary/BFL support fail without device reads or allocations; reordered bodies fail
 too. Root object IDs are still assigned by list position, as in the constructor.
 
 Jets are taken from the live L2 boundary, including the most recent successful
@@ -141,12 +149,16 @@ boundary and velocities must match exactly.
 typed `FineBoundary2D`; it derives L2 fluid leaves as ACTIVE minus SOLID. No
 caller mask is accepted. Solids, ghosts and holes are never donors and remain
 NaN, physical-fluid overlap is exact, and exposed L1 still restricts all four
-old fluid children. The helper checks the old/new body pins and boundary too.
-Its immutable `pinned_rectangles` is a canonical, deduplicated tuple, empty for body-free layouts; rectangle input
-order does not affect it. Scalar-parent window offsets remain part of the
-coordinate conversion.
+old fluid children. The helper checks old/new physical boundary and velocity
+equality too. Its immutable `pinned_rectangles` is legacy containment metadata,
+not a remap eligibility constraint; it may be empty for a seam-spanning body.
+Scalar-parent window offsets remain part of the coordinate conversion.
 
-Focused CPU mocks: `tests/unit/test_pinned_body_remap.py`. GPU declarations:
+Focused CPU mocks: `tests/unit/test_pinned_body_remap.py`.
+`tests/unit/test_union_body_support.py` also checks seam-spanning circles,
+rectangle repartition/resize, unchanged physical support and live-Jet
+preservation. These host checks do not establish GPU evolution accuracy.
+GPU declarations:
 `tests/validation/multigrid/test_pinned_body_remap_gpu.py`, covering no-op
 next-step bitwise identity, moved-fluid A→B→A, current-amplitude preservation,
 physical boundary/velocity equality, source independence and absolute counts.

docs/validation/2d_scope.md

@@ -0,0 +1,53 @@
+# Bounded 2D implementation and validation scope
+
+This inventory starts from dev `8403956a9afc0b0bb89265cec374392013d89016` and
+integrates only the reviewed LES normalization production correction from
+`95cb6d2b9f43c1bdd46cbf27f03f0dfc0877cfb0`. The merged production bytes match that
+tested candidate exactly; the scope-test changes are retained from `53fad767`.
+GPU receipts remain associated with their exact tested commits, not relabeled as
+a new merged-commit run. Historical source identities and gates remain unchanged.
+
+## Implementation boundaries
+
+- Uniform D2Q9 supports SRT, TRT and MRT. An available collision selector does not
+  qualify every wall, inlet/outlet, forcing, storage or LES combination.
+- Fixed refinement supports SRT/MRT, FP32 and double-buffer streaming; TRT and LES
+  are rejected. Shifted refinement requires all-blocked storage. Refined channel
+  boundaries have narrower configuration guards than uniform boundaries.
+- Uniform checkpoints support compatible same-method continuation. Changing
+  collision or LES parameters is a different evolution, not exact continuation.
+  Jet checkpoints and refined checkpoints are unsupported; synchronized remapping
+  is not persistent restart.
+- Keep these conclusions 2D. Local D3Q19 operator tests do not establish a supported
+  3D Simulation runtime.
+
+## Evidence and remaining gaps
+
+| Area | Available evidence | Boundary of the conclusion |
+|---|---|---|
+| MRT cylinder flow and observation windows | Full matched uniform/refined MRT DFG and the window-ledger campaign passed their frozen periodicity, reference and matched-comparison gates. The window campaign used `185a919`; its MRT/no-LES numerical path remains unchanged. Current dev also contains independently scoped test/documentation changes and the LES correction, which do not extend MRT qualification. | This does not qualify other collision/boundary combinations or every refinement interface. Timing improvements are not additional accuracy evidence. |
+| Uniform forced channel | Six Poiseuille GPU cases on `8403956`: SRT/TRT/MRT at wall-normal resolutions H16/H32 passed. | This is the tested analytic channel configuration, not open-boundary or all-layout qualification. |
+| Uniform restart | Ten SRT/MRT checkpoint GPU tests passed on `8403956`; the separate representative TRT same-method double-buffer continuation GPU case also passed (one test). | This covers the tested same-method continuation configurations. No LES, Jet or refined checkpoint claim follows. |
+| Taylor–Green refinement | Independent topology checks are available. The actual-rate phase GPU regression passed one test across two layouts, with errors 1.584e-7 and 4.500e-9. | The physical interface-accuracy gap remains open. Passing topology and phase checks does not establish convergence or close that accuracy gate. |
+| Porous Couette and annulus | Prior campaign evidence exists and must remain associated with its original setup and source. | The reconstructed annulus is a validation helper, not qualification of a public boundary-condition API. Do not infer absence of evidence from a missing current rerun. |
+| LES normalization | The reviewed correction is integrated. Exact `95cb6d2` GPU validation passed all nine observations and frozen gates, with three warm-up/reset records, verified 101-source/import identity, DONE and exit 0. Last two SGS decrement relative errors were 6.276e-4 and 6.124e-5 against the unchanged 0.15 gate. | Scope is unforced uniform D2Q9/SRT, shifted FP32, double-buffer streaming and the tested wall-bounded x-periodic shear. No TRT/MRT LES, forcing, EsoPull, objects, refinement or 3D turbulence qualification follows. |
+
+Historical uniform SRT cylinder-startup and inlet-rounding findings remain separate
+from the passed MRT DFG result. Raw exchange/window consistency is a measurement
+contract, not a general stress or force-accuracy certification. Existing source-pinned
+runners may intentionally reject a newer checkout; never silently repin old receipts.
+
+## Remaining work
+
+The related host checks passed (67 checks); they do not replace the GPU or
+physical-accuracy evidence above. Preserve the existing SRT checkpoint cases,
+historical LES manifests and all frozen numerical criteria.
+
+Continue the TG accuracy investigation using its actual fine-level rates and
+the established analytic convention. Keep the physical accuracy gate open until
+the relevant comparison passes. Review this integration independently before
+publication; no new merged-commit GPU run is claimed here.
+
+No repeat of the accepted full MRT DFG or Cartesian expansion across unsupported
+combinations is required by this document. Main integration remains a separate
+review of complete, bounded feature scope.

docs/validation/refined_dfg_window.md

@@ -0,0 +1,58 @@
+# Opt-in observation-window ledger in the DFG runner
+
+This test-only integration adds `--exchange-window` to `run_refined_dfg.py`. It uses the
+existing production ledger; no collision, boundary, transfer, physical setup, reference,
+periodicity gate or acceptance threshold changes. Default remains the historical
+per-base-step observation path. Uniform stepping/force accumulation is unchanged.
+
+For the refined case, each existing observation interval opens a new ledger at completed
+base step `begin`, advances exactly the same `n` base intervals, and reads the integrated
+root-lattice impulse for `[begin, begin+n]`. The contract requires root units, `window`
+kind, `2*n` fine samples, matching endpoints, and fine dt=.5. The existing coefficient
+calculation still divides this impulse by `n` and `.5*U_lattice**2*D_root`; force timestamps
+remain `(begin+n/2)*U_lattice/D_root`. It does not divide an already averaged force again.
+Pressure/macro/physical-leaf mass measurements and safety checks remain at the original
+interval end. Pilot interval is 80 root steps; early full-run intervals remain 2000, and
+any final shortened interval uses its actual `n`.
+
+The opt-in uses one `step(n)` call and one window read per observation, rather than `n`
+Python calls/readbacks. Internal subcycling and per-base synchronization remain owned by
+the same backend. Cooperative deadline checks surround that complete interval; unlike
+the default path they cannot interrupt between base steps inside `step(n)`. The existing
+external hard watchdog is still required. The full-run cadence/cap is documented here,
+but this preparation does not admit a full run or a GPU operation.
+
+## Provenance and receipt separation
+
+`source_manifest_window.json` pins the reviewed a233c9032487a6006e950d1e327079b00466c410
+snapshot (production ledger origin d930) plus existing helper/reference files. Both SRT
+and MRT are supported by this explicit opt-in source pin; collision selection remains
+independent and shared by the two cases. Existing SRT and MRT manifests are untouched.
+Default mode continues to reject the changed candidate under those historical pins;
+use a matching historical `--source` checkout to run its default path. There is no
+silent repinning, source fallback, or reuse of historical outputs as candidate evidence.
+
+Plan, READY, summaries, timeout/comparison receipts now record `observation_mode` as
+`last_base_step` or `window`, alongside collision and actual checkout provenance. On a
+uniform receipt this labels its **paired campaign's refined observation mode**, not a
+change to uniform observation. Full-mode pilot validation rejects missing or mismatched
+mode labels in the plan, either case summary, and either READY receipt. Source/runner
+hash, collision, completeness and health checks remain. Cross-mode pilot reuse is denied.
+
+The earlier short A/W/W1 timing/capability evidence is not a full-run speedup or accuracy
+claim. Mathematical impulse integration/units are unchanged; floating-point reduction
+order can differ, so bitwise equality of force sums is not promised. Physics acceptance
+continues to use the existing frozen gates. Historical failures/results are untouched.
+
+CPU preparation commands, from the repository root:
+
+```sh
+python tests/unit/test_refined_dfg.py
+PYTHONPATH=src python -m unittest tests.unit.test_raw_exchange_window tests.unit.test_time_window_dfg -v
+python tests/validation/run_refined_dfg.py --collision MRT --exchange-window --mode plan --output /tmp/new-window-dfg-plan
+```
+
+Root must independently review and admit any execution. An admitted paired pilot uses
+the existing watchdog, device selection, `--gpu-gates-approved`, positive
+`--max-wall-seconds` and a new output directory, adding only `--exchange-window` to the
+selected collision's pilot command. No GPU or remote action was performed for this patch.

docs/validation/taylor_green.md

@@ -159,3 +159,448 @@ theoretical stress-consistency certification or production-kernel change.
 ## Repository integration
 
 The four Python harness files remain together under tests/validation/taylor_green, so runtime provenance hashes precisely this harness directory. Formatting changes produce a new harness identity; preparation and integrated receipts must not be mixed. All analytic definitions, numerical floors, assessment gates, sample times, and source-import assertions are unchanged. Production source is unchanged from the cd3 snapshot; these periodic tests do not waive the separate channel GPU gate.
+
+## Oblique shear wave (test-only diagnostic, not GPU-qualified)
+
+`shear_wave.py` reuses the frozen oracle's constants, cell centers and
+geometry. `oracle.py` is byte-identical, and `test_shear_wave.py` pins its
+eec4677 SHA-256. `run_case.py --flow shear_wave` selects the shear wave;
+the default flow and its receipt are the unchanged Taylor–Green path.
+
+### Convention
+
+Integer mode (2,1) on the L=N periodic root domain:
+- the wavevector `k = (2*pi/L)*(2,1)` points 26.565° from +x;
+- mode (1,2) would point 63.435°, and a wrong-mode test catches a swap.
+
+Polarization is `E = (-1,2)/sqrt(5)`, perpendicular to k:
+
+    u = U*E*sin(k.x + phi)*exp(-nu*|k|^2*t),  phi = 0,  p = const,  rho0 = 1
+
+`nu = U*N/100`, the Taylor–Green Re100 viscosity at the same N. This is an
+exact incompressible Navier–Stokes solution. The initial condition is FP64
+second-order equilibrium at the actual leaf centers, with no
+non-equilibrium part.
+
+### Physical caveats
+
+1. *Scope of the cubic-term argument.* The second-order D2Q9 equilibrium
+   lacks the cubic third moment `rho*u_a*u_b*u_g` of the Maxwellian (Dellar,
+   https://people.maths.ox.ac.uk/dellar/papers/Galilean.pdf, eq. 3). At
+   Navier–Stokes order this produces a stress error proportional to
+   `d_g(rho u_a u_b u_g)`.
+
+   For the ideal constant-density, zero-background transverse wave, k.E = 0
+   makes that contracted derivative vanish. That is the only claim made.
+   It does not remove other discrete or finite-Mach errors. It is not
+   guaranteed once AMR introduces density, longitudinal or higher-mode
+   contamination. The analytic NS field itself is exact.
+2. *Startup.* Equilibrium initialization is not the discrete shear
+   eigenmode (Mei et al., https://doi.org/10.1016/j.compfluid.2005.08.008).
+   - The decay rate is a free-intercept least-squares fit of ln R over the
+     samples with t* >= 0.12, where `R = hypot(a_hat, b_hat)`.
+   - The intercept cancels only a constant amplitude prefactor, and only
+     once a single exponential dominates.
+   - Per-interval rates and the maximum log-fit residual are kept, so a
+     lingering transient stays visible.
+   - Late sampling alone does not show that transients have gone.
+
+### Metrics
+
+Computed on ACTIVE leaf cells, each weighted by its area `4**-level` in
+root-cell units. The partition must cover the domain exactly once, and one
+global pressure gauge is used.
+
+- `a_hat`, `b_hat`: weighted least-squares fit of `u.E` onto sin/cos, using
+  the 2x2 Gram matrix of the actual composite quadrature. A wrong Fourier
+  mode need not project to exactly zero on this quadrature.
+- `amplitude_error = R/A_exact - 1`.
+- `phase_drift = atan2(b_hat, a_hat)`, in radians, reported separately.
+- Rates are positive (minus the fitted slope).
+  - Per root step they are compared with `nu*|k|^2`. Uniform 2N uses its
+    own `nu = 0.0768` at N=256 and doubled step counts.
+  - In t* they are compared with `5*(2*pi)^2/Re = 1.97392088`.
+  - `rate_error = |rate/exact - 1|`.
+- `velocity_l2`, `residual_l2` (velocity left after removing the fitted
+  mode) and `longitudinal_l2` (the `u.k_hat` part), all relative to the
+  exact-field norm. A longitudinal perturbation also raises the
+  full-vector residual and the velocity L2.
+- `spurious_pressure_rms`: the raw gauged rms of `p = (rho-1)/3`.
+- `spurious_pressure_scaled`: that rms divided by `A_exact(t)^2/4`, a
+  continuum reference scale. It is *not* the discrete, globally gauged
+  Taylor–Green norm on the composite grid. Exact pressure is constant, so
+  no relative-to-exact claim is made. Max and per-level values are kept.
+
+### Preregistered screens (`shear_wave.assess`)
+
+Run set: uniform N, uniform 2N, and refined depth-2 runs at root N.
+
+- `eps(N) = (|k| h_root)^2 = 5*(2*pi/N)^2`: dimensionless, coefficient
+  one, 0.01205 at N=128. This is a chosen screen, not a proven error bound.
+- Absolute screens:
+  - rate_error, max |phase_drift| (radians) and max residual_l2 must each
+    be <= eps;
+  - velocity_l2 <= 0.05, mass <= 1e-5, spurious_pressure_scaled <= 0.02.
+- Budgets keep the `assess.py` form, `refined <= max(2*control_N, floor)`:
+  - floors are 0.002 for rate and residual, 0.02 for pressure;
+  - the comparative pressure budget is always redundant:
+    `max(2*control, 0.02)` is never below the 0.02 absolute ceiling;
+  - raw ratios to both the root and finest controls, including raw
+    pressure rms, are always reported.
+- Every record is validated before any screen is applied:
+  - exact scheduled steps and t*, with no duplicates;
+  - every numeric field finite, including list fields and density;
+  - error quantities nonnegative and rho_min > 0;
+  - signed quantities (amplitudes, `amplitude_error`, `phase_drift`,
+    per-interval rate errors) keep their sign.
+- Outcomes are kept distinct:
+  - INVALID_CONTROL: a control or refined run is missing, a control is
+    incomplete or invalid, or the records come from mixed sources;
+  - INVALID_RUN: a refined record fails validation;
+  - CONTROL_SCREEN_FAIL: complete, valid controls fail their own screens.
+    Each refined run's `own_screens_pass` is still reported, but
+    `controlled_pass` is false, so it is never a controlled-comparison pass;
+  - PASS/FAIL: every refined run's `controlled_pass` (own screens and
+    budgets against valid, passing controls).
+  - Finite modal extinction (late R = 0) is a physical failure, not
+    malformed data. The run gets `rate_fit_valid=false` with null fit
+    quantities, and its other metrics are kept. Nothing is clipped and no
+    rate is invented. The result is CONTROL_SCREEN_FAIL for a control, or
+    FAIL for a refined run.
+  - Screens are never retuned.
+
+### Limitations
+
+One flow, one phase and one rectangle, SRT only. The rectangle's vertical
+faces span 0.625 tangential periods and its horizontal faces 1.5, so this
+is not placement robustness. Two resolutions show a trend, not an order.
+
+### Receipt assessment and runner integrity
+
+- Fixed four-case N128 contract:
+  `python assess_shear_wave.py U128.json U256.json R128_constant.json R128_projected.json --output report.json --expected-revision <sha>`.
+  It reuses the shared provenance, build, workload and sample-time checks
+  from `assess_projected_pairs.py`, and adds shear metadata checks (flow,
+  mode, polarization, angle, phase, eps, limits, disabled early trace, and
+  pinned `shear_wave.py` hash).
+  - Missing, extra, duplicate or mixed-source records give `INVALID_SET`,
+    as does any failed shared check.
+  - Otherwise the result comes from `shear_wave.assess`, which separates
+    `INVALID_CONTROL` from `CONTROL_SCREEN_FAIL`.
+- `run_case.verify_source(..., flow="shear_wave")` requires the imported
+  `shear_wave.py` to be the selected harness file with the pinned
+  `SHEAR_WAVE_SHA256`. The default TG flow does not import it.
+- Sample and READY finiteness use `finite_row`, which accepts scalar and
+  list diagnostics. For TG's all-scalar rows it behaves the same as before.
+- Merge note: native 92b8afe adds a `scaled_n256` receipt block. When the
+  two are merged, keep both blocks and make `--flow shear_wave` and
+  `scaled_n256` mutually exclusive. Not merged here.
+
+### Scaled shear diagnostic (opt-in `scaled_shear_n256`)
+
+Runner: `run_case.py --flow shear_wave --diagnostic scaled_shear_n256 --re 100`
+with one of these four cases:
+- `--n 256 --depth 1` (U256)
+- `--n 512 --depth 1` (U512)
+- `--n 256 --depth 2 --explosion constant` (constant R256)
+- `--n 256 --depth 2 --explosion projected_linear` (projected R256)
+
+Everything physical is unchanged from N128:
+- `rectangles(256,2)` covers the same physical box;
+- same t* schedule (16N root steps);
+- `nu = U*N/100`;
+- same `eps(N)`, limits and floors.
+
+`scaled_n256` (Taylor–Green, from native 92b8afe) and `scaled_shear_n256`
+each require their own flow, so they are mutually exclusive. N512 is
+accepted only through one of the two diagnostics. The shear diagnostic
+takes no early-pressure trace.
+
+Assessment:
+
+    python assess_shear_wave.py U256.json U512.json R256_constant.json R256_projected.json \
+        --diagnostic scaled_shear_n256 --reference-files <four de5b0cc N128 receipts> \
+        --output report.json --expected-revision <sha>
+
+- The scaled N256/512 case, build and workload checks come from the
+  92b8afe assessor. Its TG-only diagnostic identity and early-sampling
+  checks are not used. Instead every record must carry
+  `diagnostic=scaled_shear_n256`, and N128 records must carry none.
+- The reference N128 receipts are hash-pinned to the audited de5b0cc
+  evidence (commit cba6bca). They are never relabelled as fresh controls.
+- The report always includes, for each case:
+  - the raw signed rate bias `rate/exact - 1` and the interval errors;
+  - each refined run's signed excess over *each* uniform control (rate
+    bias, residual, raw pressure rms);
+  - the N128→N256 signed changes and ratios. The ratio is null when the
+    N128 value is zero.
+- These are descriptive. Passing or failing another floor-controlled
+  screen is not the conclusion, and a two-resolution ratio is not a
+  convergence order.
+- Portability: the receipt's recomputed `eps = |k|^2` is compared within
+  4 ULPs (`close_ulps`), not by exact equality. A cross-runtime replay
+  differed by one ULP: 0.012047856934923534 on Horsea vs
+  0.012047856934923532 elsewhere. Source and file hashes, case identity,
+  the other metadata and every scientific threshold stay exact.
+
+### Nested shear preset (opt-in `nested_shear_n128`)
+
+A fixed three-level, two-region preset, defined in `shear_nested.py`. The
+wave, phase, Re100/U=0.03, initialization, five sample times, eps(root N),
+limits and floors are the same as before.
+
+- Refinements, given as parent-frame `(x0, y0, x1, y1)` rectangles on
+  level-wide, zero-origin unions:
+  - L0→L1: `(16,16,60,112)`, `(68,24,112,120)`
+  - L1→L2: `(44,44,108,212)`, `(148,60,212,228)`
+- Leaves `[7936, 12288, 86016]`, hops `[2048, 4096, 8192]`, work
+  771227648 per refined case; 3723493376 for all four cases.
+- Level ν `[.0384, .0768, .1536]`, τ `[.6152, .7304, .9608]`.
+
+Cases (`run_case.py --flow shear_wave --diagnostic nested_shear_n128 --re 100`):
+- `--n 128 --depth 1`
+- `--n 512 --depth 1` — the finest control is 4N, not 2N
+- `--n 128 --depth 3`
+- `--n 128 --depth 3 --explosion projected_linear [--final-snapshot]`
+
+`--final-snapshot` is allowed only for the projected depth-3 case. It writes
+`<output>.final_macro.npz`, containing:
+- ACTIVE leaves packed as `level`/`i`/`j`;
+- `rho`, `ux`, `uy` from the FP64 physical populations at the final root
+  synchronization;
+- embedded metadata: exact time, phase, mode and config.
+
+It contains no populations, restart state or time series. Its SHA-256 and
+size go into the receipt. A file over 8 MiB is removed and reported, never
+kept. All old paths stay scalar-only.
+
+Assessment: `assess_shear_wave.py U128.json U512.json R128c.json R128p.json
+--diagnostic nested_shear_n128 --output report.json --expected-revision <sha>`.
+- It reuses the case-agnostic provenance checks from the TG assessor, plus
+  exact nested scales, builds, patch, workload, metadata and the pinned
+  `shear_nested.py` hash.
+- The physics is `shear_wave.assess` generalized only in its depth-3 / 4N
+  shape contract; the metrics are unchanged.
+- `shear_wave.py` is byte-identical (81d5c8ee…), so historical receipt
+  identities and verdicts are untouched.
+- This preset changes placement and refined volume as well as depth. It
+  gives no isolated cost of an extra level and no resolution trend.
+
+### Depth-2 twin of the nested preset (opt-in `twin_shear_n128`)
+
+`shear_twin.py` uses the same two L0→L1 boxes as `shear_nested.py`, with no
+L2. Leaves are `[7936, 33792]`, hops `[2048, 4096]`, and work is 154664960 per
+refined case (611319808 for all four).
+
+The campaign is four fresh runs:
+`run_case.py --flow shear_wave --diagnostic twin_shear_n128 --re 100` with
+- `--n 128 --depth 1`
+- `--n 256 --depth 1` (the finest control is 2N)
+- `--n 128 --depth 2`
+- `--n 128 --depth 2 --explosion projected_linear`
+
+There is no snapshot option. Older exact controls serve only as consistency
+checks; they are not reused as references.
+
+Assessment uses the same preset contract as the nested preset, through
+`assess_shear_wave.py ... --diagnostic twin_shear_n128`:
+- the physics is the unchanged depth-2 / 2N `shear_wave.assess`;
+- receipts must pin `shear_twin.py`, `shear_nested.py` and `shear_wave.py`;
+- `shear_nested.py` stays byte-identical (fa6cfe87…), so the 335624c nested
+  receipts still validate.
+
+Labels:
+- *Twin vs nested* is the effect of adding this nested L2 refinement.
+  Removing L2 also changes the finest spacing and refined volume, so it does
+  not isolate abstract depth.
+- *Twin vs the single-box depth-2 runs* is a placement/geometry contrast at
+  equal depth.
+- Neither contrast is additive by construction.
+- The thin-band/acoustic explanation for the nested L1 pressure is a
+  hypothesis, not established.
+
+### Signed interface-probe traces (opt-in `--probe-trace`, mechanism diagnostic)
+
+`shear_probes.py` (pinned) uses native's validated 24-target layout through
+box 1, in root-128 physical coordinates:
+- a horizontal line y = 56, crossing the vertical faces x = 16 and 22;
+- a vertical line x = 38, crossing the horizontal faces y = 16 and 22;
+- normal coordinates 12.5, 14.5, 15.5, 16.25, 17.25, 19.25, 20.75, 21.75,
+  22.125, 23.125, 24.125, 26.125.
+
+Each target maps to the nearest ACTIVE leaf center. The deterministic tie
+rule is: distance, then finer level, then smaller j, then smaller i. This
+gives 24 unique cells in every case, and nested has 3 L0 + 5 L1 + 4 L2 per
+transect. Maximum displacement from target to center is 0.625 root cells in
+U128 (0.177 in U512).
+
+Allowed cases:
+- nested U128, nested U512, nested projected depth 3;
+- twin projected depth 2.
+
+The option can't be combined with `--final-snapshot`.
+
+Sampling:
+- The receipt stores each probe's leaf level, `i`/`j`, actual cell center
+  and displacement from its target, all in root-physical units (N=128).
+- Grids differ between cases, so centers are *not* collocated. Analytic
+  fields are evaluated at each actual center (`shear_probes.residuals`), and
+  comparisons across cases are between residuals at nearby but distinct
+  centers.
+- Times are root-physical steps 0–128 and 1920–2048. U512 is sampled every 4
+  lattice steps to match.
+- Each sample stores `rho`, `ux`, `uy` from the FP64 physical populations,
+  POST-collision G at root synchronization only. No substep content is
+  observed, and grid-scale alternation can alias.
+
+What's kept and enforced:
+- The five qualification samples stay unchanged.
+- No field dumps. The trace is validated for exact schedule, finiteness and
+  a 600 kB cap. If invalid it is dropped and an error is recorded, keeping
+  the scalar receipt.
+- There are no new pass gates; this is a mechanism diagnostic only.
+
+### Single x-gap-width contrast (`wide_x_shear_n128`)
+
+This opt-in admits only Re100/N128/projected depth3 with `--probe-trace`.
+The outer boxes, three grid spacings, viscosities, initialization, five main
+sample times and trace windows are unchanged. L1→L2 parent-frame rectangles
+are `[(56,44,96,212),(160,60,200,228)]`: both x-normal middle gaps widen from
+6 to 12 root cells, while y gaps remain 6. Active leaves are
+`[7936,20352,53760]`, hops `[2048,4096,8192]`, work 540,016,640 active updates.
+This also moves the L2 x faces and reduces its volume; it is not a pure
+travel-distance experiment. No new qualification matrix, assessor, threshold
+or snapshot is added. Existing scalar screens and all failures stay visible.
+
+The same 24 targets and actual-center metadata are retained. The horizontal
+probes stop before the new inner face x = 28: they do not bracket that interface
+or sample its fine side. The first 8 horizontal L0/L1 probes keep identical
+centers, and the y-normal x = 38 transect is unchanged. Their temporal residuals
+can support a descriptive timing contrast, but cannot establish a crossing
+or reflection coefficient. Changed-level probes must not be treated as
+collocated samples. `rho-1` remains raw density deviation; do not substitute
+the 24-probe mean for the global pressure gauge.
+
+### POST-G initialization counterfactual (`postg_shear_n128`)
+
+Exactly three fresh Re100 cases are admitted: U128, U512, and projected R128
+depth 3 with the original nested rectangles. Each requires `--flow shear_wave
+--diagnostic postg_shear_n128 --probe-trace`; snapshots and early-pressure mode
+are excluded. Geometry, physical velocity/density, viscosities, collisions,
+five main times and the 24 signed probes/windows are unchanged. Total work is
+2,952,265,728 active updates, with 15 main rows, 774 trace rows and five builds.
+
+Only initialization changes. At level spacing h, k_level = h k and
+A_i = 3 w_i U cos(theta) (c_i dot e) (c_i dot k_level). Initialize physical
+FP64 **POST G = feq - (tau - 1) A**, then use the existing shifted FP32 codec.
+This is the first-gradient, low-Mach Chapman-Enskog approximation, not an
+exact discrete eigenstate. The PRE coefficient is -tau; the physical viscous
+stress coefficient tau - 1/2 must not replace the raw POST-G coefficient.
+The correction has zero mass/momentum before encoding; FP32 introduces normal
+roundoff. U512 uses its native k and tau, matching nested L2 physical spacing.
+
+Receipts pin the new initializer module and identify `postg_first_gradient_v1`,
+with `qualification_eligible=false`. Existing scalar screens remain visible
+as descriptive outcomes, including failures; no new pass gate or assessor is
+introduced. Historical assessors reject the new diagnostic and initialization
+identities. Compare raw rows and signed traces with the retained equilibrium
+receipts as a startup-state counterfactual. The host first-interval pressure
+RMS reduction is not a prediction of long-time improvement, and individual
+probe errors can increase. All equilibrium paths and historical verdicts stay
+unchanged.
+
+### Short square orientation diagnostic (`axis_square_shear_n128`)
+
+Four fresh cases only: U128, U256, constant R128 and projected R128 depth 2.
+Use `--flow shear_wave --diagnostic axis_square_shear_n128 --probe-trace`.
+The supported union is `[[(32,32,96,96)]]`; a full-height periodic fine strip
+is not supported by the unchanged production geometry. All four cases use
+POST G = feq - (tau - 1) A, mode (2,0), polarization (0,1), phase pi/4,
+U=.03 and Re100. Root/fine nu are .0384/.0768 and tau are .6152/.7304.
+This first-gradient low-Mach initialization is not an exact discrete mode.
+
+Stop at root step 8: two global rows at 0/8, nine local rows at 0..8;
+U256 advances two native steps per root step. Refined leaves are [12288,16384],
+hops [8,16], work 360,448 per refined case. Four-case work is 1,900,544 ACTIVE
+updates, six build sidecars and 720 native cell-time samples. Existing runtime,
+build/source guards and receipt/trace caps apply. No snapshots or late fit.
+`screening_pass=null`, `qualification_eligible=false`: exit zero means valid
+finite completion, with no physical pass threshold or legacy assessor.
+
+Eight root-unit-cell groups (i,j): inner L/R/B/T = (32,64)/(95,63)/(64,32)/(63,95),
+outer L/R/B/T = (31,64)/(96,63)/(64,31)/(63,96). Refined inner groups contain four
+fine cells, outer groups one coarse cell; U128 uses one and U256 four per group.
+Retain raw rho/ux/uy, native indices, physical centers/areas and parity. Group
+residuals are signed means of rho-1 and rho*u-u_exact, evaluated at each actual
+center; normalization uses that group's mean analytic d(uy)/dx. Only inner
+L/B and R/T pairs have exactly opposite equal-magnitude gradients. Controls
+have their own native quadrature. Probe density is ungauged; global pressure
+RMS uses one domain gauge.
+
+Actual-table local corridors match tangentially extended straight faces beyond
+22.5 root cells. The conservative paired-map radius is 2.5 root cells per root
+step, so these selected groups through step 8 are locally straight-face
+equivalent. This is not a claim about global corner errors. For projected
+explosion with actual missing-normal-gradient fallback, the stationary
+linearized affine reference after the first complete root interval predicts
+zero conserved-moment error on vertical faces. At the
+bottom/top inner fine quartets its mean delta jx / d(uy)/dx is
+-/+ 1/(576*tau_f), with opposite adjacent-coarse redistribution.
+Keep raw values, step-zero rounding and fresh controls: sinusoidal curvature
+and finite-Mach effects prevent treating this coefficient as an exact gate.
+
+### Test-only centered straight-face comparison
+
+`centered_face_square_n128` reuses the square axis-wave POST-G initializer,
+geometry, native probes and root steps 0–8. It has four fresh cases: U128,
+U256, current projected R128, and experimental centered R128. This is a
+qualification-ineligible diagnostic; there is no legacy assessor or new physics gate.
+
+Only the candidate's private generated fine-level `blocks.cu` changes. A
+2,112-byte constant mask selects 1,792 rows (448 complete donor quartets).
+The diagonal projected correction is doubled on straight faces with exactly
+one unsupported normal axis and both legal tangent neighbors. Donor centers
+within four root cells of a corner retain the current rule, as do all other
+patterns, axial populations and rest. The mask is symmetric under transpose
+and reflection. Its hash and the actual modified source/PTX hashes are retained;
+production files, restrictions, collision, scheduling and launch arguments stay fixed.
+A complete quartet has zero summed offset, so each population's quartet mean
+is preserved. The perpendicular gradient also retains equal characteristic
+packets; the existing two-hop conservation routing therefore remains applicable.
+Host tests additionally check the mixed mask through complete two-hop/collision
+cycles, including corner grazing, and execute the actual edited kernel via C++.
+The central probes are more than 20 root cells from mask transitions; the
+reviewed conservative dependency radius is 2.5 root cells per root interval.
+
+The separate comparison subtracts each group's step-zero residual and the
+fresh uniform control at matching quadrature (U256 inner, U128 outer). It retains
+signed density and both momentum components, actual-center gradient normalization,
+parities, and sign flips. Step 1 requires bottom-inner cross-momentum magnitude
+improvement greater than its deadband, and top-inner nonworsening within it.
+Each horizontal face's step-8 RMS combines its inner and outer group means;
+both must be nonworse. All four vertical groups must remain unchanged within
+the component deadbands at every sampled root step. The norm
+`sqrt(drho²/3 + djx² + djy²)` must not worsen beyond its corresponding deadband.
+Sampled raw-pressure envelope and step-8 global gauged pressure RMS must not
+worsen beyond the pressure deadband. Nonfinite/nonpositive sampled density,
+invalid traces, source/build mismatch, or exceeded observed population envelope
+reject the comparison. A small top signal or sign reversal remains explicit.
+
+The predeclared shifted population envelope is 1/32. From per-population oracle
+allowance `6e-8 + 2e-7*1/32`, pairwise moment deadbands are
+`[1.1925e-6, 7.95e-7, 7.95e-7]`; pressure uses the density deadband divided by 3.
+Area averaging cannot enlarge this local allowance. These are practical diagnostic
+deadbands, not certified accumulated root-8 rounding bounds. The envelope is
+checked on downloaded synchronized ACTIVE populations, not hidden substeps.
+Known quadratic fine-cell O(h) terms, corner transitions, repeated coupling and
+stability remain unresolved. Passing permits review of a candidate, not promotion.
+
+Run the existing `run_case.py` with `--diagnostic centered_face_square_n128
+--flow shear_wave --re 100 --probe-trace --test-reconstruction current` for
+U128/U256 (depth 1, constant) and current R128 (depth 2, projected_linear).
+For candidate R128 use `--test-reconstruction centered_face_v1`. All require
+an exact clean `--repo`, `--expected-revision`, fresh `--output`, and either
+`--dry-run` or explicit single-device `--run-gpu`. Compare ordered receipts with
+`shear_centered.py --repo REPO --expected-revision SHA --output comparison.json
+U128.json U256.json current.json candidate.json`. Total work is 1,900,544 ACTIVE
+updates, six build sidecars, and 720 cell-time samples; scalar cap stays 1 MiB/case.

src/CelerisLab/lbm/kernels/blocks.cu

@@ -63,6 +63,39 @@ extern "C" __global__ void BlockExplode(
         to[index_f(t % TOTAL_CELLS, q)] = from[q * coarse_cells + d % coarse_cells];
 }
 
+// Experimental Schornbaum--Ruede (arXiv:1508.07982, Algorithm 2)
+// and Chen et al. (doi:10.1016/j.physa.2005.09.036) population interpolation.
+// Independent implementation of the mathematical stencil; no upstream source copied.
+// Stencil cells are owner cores; a disabled axis repeats its center twice.
+extern "C" __global__ void BlockExplodeProjected(
+    const fpxx* coarse, fpxx* fine, const uint64_t* target, const uint64_t* donor,
+    unsigned int count, unsigned long coarse_cells,
+    const uint64_t* neighbors, const float* offsets)
+{
+    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
+    if (row >= count) return;
+    const uint64_t t = target[row], d = donor[row];
+    fpxx* to = fine + (t / TOTAL_CELLS) * NQ * TOTAL_CELLS;
+    for (unsigned int q = 0; q < NQ; ++q) {
+        float v[4];
+        for (unsigned int a = 0; a < 4; ++a) {
+            const uint64_t n = neighbors[4ul * row + a];
+            v[a] = coarse[(n / coarse_cells) * NQ * coarse_cells
+                          + q * coarse_cells + n % coarse_cells];
+        }
+        float gx = .5f * (v[1] - v[0]), gy = .5f * (v[3] - v[2]);
+        const float ex = d_cx[q], ey = d_cy[q];
+        if (q != 0) {
+            const float along = (ex * gx + ey * gy) / (ex * ex + ey * ey);
+            gx -= ex * along;
+            gy -= ey * along;
+        }
+        to[index_f(t % TOTAL_CELLS, q)] =
+            coarse[(d / coarse_cells) * NQ * coarse_cells + q * coarse_cells + d % coarse_cells]
+            + offsets[2ul * row] * gx + offsets[2ul * row + 1] * gy;
+    }
+}
+
 // Targets are receiver-local SOURCE slots for the immediately following pull.
 // Keep child summation order identical to PatchCoarseStep; no collision here.
 extern "C" __global__ void BlockCoalesce(

src/CelerisLab/lbm/kernels/operators/turbulence_smag.cuh

@@ -5,7 +5,9 @@
 //   nu_t = (C_s * Delta)^2 * |S|,  Delta = 1 (lattice unit)
 //   omega_eff = 1 / (3*(nu + nu_t) + 0.5)
 //
-// |S| is estimated from non-equilibrium second-order moments using tau0.
+// |S| = sqrt(2 S_ij S_ij), with Delta = 1 in lattice units.
+// The stress estimate uses self-consistent tau_eff; tau0 is molecular.
+// Closed form uses full stress. Iteration uses deviatoric stress and a cap.
 // ============================================================================
 
 #ifndef CELERIS_OPERATORS_TURBULENCE_SMAG_CUH
@@ -65,12 +67,12 @@ __device__ __forceinline__ float compute_omega_smag(const float* __restrict__ f,
 
 #if LES_CLOSED_FORM
     // Closed-form Smagorinsky (no iteration):
-    //   ω = 2 / (τ₀ + √(τ₀² + 18·Cs²·√Q / ρ))
+    //   ω = 2 / (τ₀ + √(τ₀² + 18·√2·Cs²·√Q / ρ))
     // where Q = Πneq_ij · Πneq_ij (Frobenius norm squared)
     const float Q = pixx*pixx + piyy*piyy + 2.0f*pixy*pixy;
     const float sqrtQ = sqrtf(fmaxf(Q, 0.0f));
     const float smag_const_sq = LES_CS * LES_CS;
-    const float discriminant = tau0*tau0 + 18.0f * smag_const_sq * sqrtQ / rho_safe;
+    const float discriminant = tau0*tau0 + 18.0f * sqrtf(2.0f) * smag_const_sq * sqrtQ / rho_safe;
     const float tau_eff = 0.5f * (tau0 + sqrtf(fmaxf(discriminant, tau0*tau0)));
     return clamp_omega(1.0f / fmaxf(tau_eff, 0.500001f));
 #else
@@ -140,7 +142,7 @@ __device__ __forceinline__ float compute_omega_smag(const float* __restrict__ f,
                   + 2.0f*(pixy*pixy + pixz*pixz + piyz*piyz);
     const float sqrtQ = sqrtf(fmaxf(Q, 0.0f));
     const float smag_const_sq = LES_CS * LES_CS;
-    const float discriminant = tau0*tau0 + 18.0f * smag_const_sq * sqrtQ / rho_safe;
+    const float discriminant = tau0*tau0 + 18.0f * sqrtf(2.0f) * smag_const_sq * sqrtQ / rho_safe;
     const float tau_eff = 0.5f * (tau0 + sqrtf(fmaxf(discriminant, tau0*tau0)));
     return clamp_omega(1.0f / fmaxf(tau_eff, 0.500001f));
 #else

src/CelerisLab/lbm/refinement_stepper.py

@@ -22,7 +22,7 @@ from .block_stepper import MAX_GRID_DIM
 from .hierarchy import build_hierarchy, is_rectangle
 from .refinement import ACTIVE, HALO, FixedPatch2D, FixedPatchSet2D, prepare_fine_boundary
 from .refinement_tables import (blocked_base_tables, blocked_fine_tables,  # noqa: F401 (re-export)
-                                blocked_kind, _prepare_blocked_boundary,
+                                blocked_kind, projected_explosion_tables, _prepare_blocked_boundary,
                                 BLOCKED_BOUNDARY_DEVICE_COLUMNS)
 from .descriptors import SOLID
 from .raw_exchange import summarize_exchange
@@ -41,6 +41,8 @@ class _Pair:
     n_ghosts: int
     n_rows: int
     parent_cells: int    # parent block window cells (explode donor stride)
+    neighbors: object = None  # projected-only owner-core cells; constant allocates neither
+    offsets: object = None
 
 
 @dataclass
@@ -206,6 +208,12 @@ class FixedPatchStepper:
     halo -> BFL -> step four times per base step. Runtime child Jet changes
     require ``set_jet_amplitude(index, amplitude, level=2)``.
 
+    ``explosion="projected_linear"`` selects experimental transverse linear
+    reconstruction on each adjacent pair. Default "constant" is unchanged.
+    Projected mode requires periodic root, all-blocked SRT levels without
+    bodies/Jets or LES; this backend supplies no forcing. Geometry is generic,
+    but union/multilevel GPU and matched-physics qualification remain pending.
+
     Level lists (any depth): ``refinements[l]`` gives level l+1 in level-l
     integer cells (scalar window or rectangle list, see lbm.hierarchy);
     ``level_blocks``/``level_objects``/``level_jets`` hold one entry per level,
@@ -219,7 +227,7 @@ class FixedPatchStepper:
                  fine_block=None, base_block=None, jets=(), child=None, child_block=None,
                  child_objects=(), child_jets=(), child_rectangles_in_parent=None,
                  refinements=None, level_blocks=None, level_objects=None, level_jets=None,
-                 observe_raw_exchange=False, observe_window_exchange=False):
+                 observe_raw_exchange=False, observe_window_exchange=False, explosion="constant"):
         if HALO != 4:
             raise RuntimeError("refinement.cu requires a four-cell fine halo")
         if coarse_boundary not in ("periodic", "slot_reservoir", "channel"):
@@ -248,6 +256,15 @@ class FixedPatchStepper:
         level_blocks = [None if b is None else tuple(b) for b in level_blocks]
         _check_levels(refinements, level_blocks, level_objects, level_jets)
         depth = len(refinements) + 1
+        if explosion not in ("constant", "projected_linear"):
+            raise ValueError("explosion must be constant or projected_linear")
+        if explosion == "projected_linear" and (
+                coarse_boundary != "periodic" or any(b is None for b in level_blocks)
+                or any(level_objects) or any(level_jets)
+                or cfg.collision != "SRT" or cfg.les_enabled):
+            raise ValueError("projected explosion requires periodic all-blocked SRT levels "
+                             "without bodies/Jets or LES")
+        self._explosion = explosion
         self._ddf_shifting = bool(cfg.ddf_shifting)
         if self._ddf_shifting and any(b is None for b in level_blocks):
             raise ValueError("shifted populations require all-blocked levels; dense/mixed is unsupported")
@@ -479,6 +496,11 @@ class FixedPatchStepper:
                        self._upload(children), len(ghosts), len(targets),
                        int(np.prod(pair.coarse_shape if parent.layout is None
                                    else parent.layout.local_shape)))
+        if self._explosion == "projected_linear":
+            neighbors, offsets = projected_explosion_tables(
+                pair, parent.layout, self.hierarchy.kinds[index])
+            result.explode = child.module.get_function("BlockExplodeProjected")
+            result.neighbors, result.offsets = self._upload(neighbors), self._upload(offsets)
         if child.layout is not None:
             child.kind = self._upload(blocked_kind(child.layout, self.hierarchy.kinds[index + 1]))
         if index == 0 and base is not None:
@@ -653,7 +675,7 @@ class FixedPatchStepper:
                 child_rectangles_in_parent=new.child.bounds,
                 child_objects=child_objects, child_jets=jets,
                 observe_raw_exchange=self._observe_raw_exchange,
-                observe_window_exchange=self._observe_window)
+                observe_window_exchange=self._observe_window, explosion=self._explosion)
             try:
                 if self._ddf_shifting:
                     candidate._initialize_raw(_StoredPopulations(transferred.g, transferred.shifted))
@@ -746,6 +768,7 @@ class FixedPatchStepper:
         pair, level = self._pairs[index - 1], self._levels[index]
         pair.explode(parent_buffer, level.current, pair.ghosts, pair.donors, np.uint32(pair.n_ghosts),
                      np.uint64(pair.parent_cells),
+                     *((pair.neighbors, pair.offsets) if pair.neighbors is not None else ()),
                      grid=((pair.n_ghosts + self._block[0] - 1) // self._block[0], 1), **kw)
         self._hop(index, level.current, level.spare, **kw)
         self._hop(index, level.spare, level.current, **kw)

src/CelerisLab/lbm/refinement_tables.py

@@ -66,6 +66,50 @@ def blocked_base_tables(patch, layout, order, wall_aware=False, *, composed_kind
             blocked_kind(layout, dense_kind))
 
 
+def projected_explosion_tables(pair, parent_layout, composed_parent_kind):
+    """Experimental transverse linear explosion, in the pair's existing row order.
+
+    Schornbaum & Rüde (2016), arXiv:1508.07982, Algorithm 2, following
+    Chen et al., doi:10.1016/j.physa.2005.09.036. Independently implemented
+    from the mathematics: centered gradients, perpendicular projection and
+    child offsets +/-1/4. The kernel applies the projection per population.
+
+    Only original explosion donors that are owned, uncovered ACTIVE cells
+    may supply gradients. Both axis neighbors must be legal; otherwise repeat
+    the center twice for zero slope. Owner-core addresses avoid stale halos.
+    The same rule applies to scalar windows, unions and every adjacent pair;
+    nested layouts retain their own per-axis (usually nonperiodic) topology.
+    """
+    ny, nx = pair.coarse_shape
+    kind = np.asarray(composed_parent_kind)
+    if parent_layout.shape != pair.coarse_shape or kind.shape != pair.coarse_shape:
+        raise ValueError("projected explosion parent layout/kind has the wrong shape")
+    donor = pair.ghost_coarse.astype(np.intp)
+    legal = np.zeros(ny * nx, bool)
+    legal[donor] = True
+    legal &= (parent_layout.owned.ravel() & ~pair.covered.ravel()
+              & (kind.ravel() == ACTIVE))
+    if not legal[donor].all():
+        raise ValueError("projected explosion donors need owned uncovered parent ACTIVE cells")
+    y, x = np.divmod(donor, nx)
+    neighbors = np.repeat(donor[:, None], 4, axis=1)
+    for axis, (dx, dy) in enumerate(((1, 0), (0, 1))):
+        minus = ((y - dy) % ny) * nx + (x - dx) % nx
+        plus = ((y + dy) % ny) * nx + (x + dx) % nx
+        valid = legal[minus] & legal[plus]
+        if not parent_layout.periodic[axis]:
+            coordinate, extent = (x, nx) if axis == 0 else (y, ny)
+            valid &= (coordinate > 0) & (coordinate < extent - 1)
+        neighbors[valid, 2 * axis] = minus[valid]
+        neighbors[valid, 2 * axis + 1] = plus[valid]
+    fy, fx = np.divmod(pair.ghost_fine, pair.fine_shape[1])
+    ox, oy = pair.fine_origin
+    offsets = np.column_stack((ox + (fx + .5) / 2 - (x + .5),
+                               oy + (fy + .5) / 2 - (y + .5)))
+    return (np.ascontiguousarray(parent_layout.owner.ravel()[neighbors], dtype=np.uint64),
+            np.ascontiguousarray(offsets, dtype=np.float32))
+
+
 # Required device columns plus optional actuation; observation arms are uploaded
 # separately only when enabled. body_id/aperture remain host reduction metadata.
 BLOCKED_BOUNDARY_DEVICE_COLUMNS = ("block", "cell", "dir", "q", "fallback", "surface_velocity")

tests/integration/test_state_gpu.py

@@ -65,9 +65,14 @@ def test_shifted_topology_add_remove_preserves_cache_and_finite_flow(streaming,p
         assert np.max(macro['rho'][fluid]) < 1.5
 
 
-@pytest.mark.parametrize('streaming',['double_buffer','esopull'])
-def test_checkpoint_exact_continuation_and_controls(streaming,tmp_path):
-    with make_sim(nx=48,ny=24,streaming=streaming,shifted=True) as sim:
+@pytest.mark.parametrize('collision,streaming', [
+    pytest.param('SRT', 'double_buffer', id='double_buffer'),
+    pytest.param('SRT', 'esopull', id='esopull'),
+    pytest.param('TRT', 'double_buffer', id='trt-double_buffer'),
+])
+def test_checkpoint_exact_continuation_and_controls(collision,streaming,tmp_path):
+    # Same collision throughout save/load/continue; this is not a method-switch restart.
+    with make_sim(nx=48,ny=24,streaming=streaming,shifted=True,collision=collision) as sim:
         sim.add_body('circle',center=(14,12),radius=3)
         sim.add_body('force_region',center=(30,12),radius=2)
         sim.initialize()

tests/unit/test_les_flow_runner.py

@@ -41,45 +41,74 @@ class GuardTests(unittest.TestCase):
         with self.assertRaisesRegex(RuntimeError, "velocity/profile"):
             decode_macros(invalid, w, cx, cy)
 
-    def test_baseline_pins(self):
+    def test_current_corrected_pins(self):
         self.assertEqual(
-            source_guard(ROOT, "baseline")["base_commit"],
-            "cd3a657f9d3833e812c3cca173525f165b48710a",
+            source_guard(ROOT, "corrected", "a135252")["base_commit"],
+            "a135252ae78b47b57d7e77d19001700b3bedac8b",
         )
 
     def test_corrected_and_tamper_guard(self):
-        pins = json.loads((HERE / "data/les_flow/source_pins.json").read_text())
+        pins = json.loads((HERE / "data/les_flow/source_pins_a135252.json").read_text())
         with TemporaryDirectory() as directory:
             root = Path(directory)
             for name in pins["sources"]:
                 dest = root / name
                 dest.parent.mkdir(parents=True, exist_ok=True)
                 shutil.copyfile(ROOT / name, dest)
-            # Rebuild the reviewed candidate from actual pinned headers, not fixtures.
-            candidate = root / "header_candidate"
-            subprocess.run(
-                [
-                    sys.executable,
-                    str(HERE / "les/prepare.py"),
-                    "--repo",
-                    str(ROOT),
-                    "--output-dir",
-                    str(candidate),
-                ],
-                check=True,
-            )
-            shutil.copyfile(candidate / "patched" / HEADER, root / HEADER)
             with patch(
                 "run_uniform_les_flow.subprocess.check_output",
                 return_value="isolated-fixture\n",
             ):
-                source_guard(root, "corrected")
+                source_guard(root, "corrected", "a135252")
                 with self.assertRaisesRegex(RuntimeError, "Source pin mismatch"):
-                    source_guard(root, "baseline")
-                target = root / "src/CelerisLab/lbm/kernels/step/one_step_double.cu"
-                target.write_bytes(target.read_bytes() + b"\n// tamper\n")
+                    source_guard(root, "baseline", "a135252")
+                for name in ("kernels/step/one_step_double.cu", "kernels/blocks.cu",
+                             "refinement_stepper.py", "refinement_tables.py"):
+                    target = root / "src/CelerisLab/lbm" / name
+                    original = target.read_bytes()
+                    target.write_bytes(original + b"\n// tamper\n")
+                    with self.assertRaisesRegex(RuntimeError, "Source pin mismatch"):
+                        source_guard(root, "corrected", "a135252")
+                    target.write_bytes(original)
+
+    def test_historical_default_and_manifest_unchanged(self):
+        historical = {
+            "historical": ("source_pins.json", "87ca033619da1fc02bee822bfc5681b518a92a155c3c3d1dbbe5265c96066b39"),
+            "dev8403956": ("source_pins_dev8403956.json", "58187908485f2af7c78677d53de98015878372444265ce9e667683b8ef5d410f"),
+        }
+        for experiment, (name, expected) in historical.items():
+            manifest = HERE / "data/les_flow" / name
+            self.assertEqual(hashlib.sha256(manifest.read_bytes()).hexdigest(), expected)
+            for variant in ("baseline", "corrected"):
                 with self.assertRaisesRegex(RuntimeError, "Source pin mismatch"):
-                    source_guard(root, "corrected")
+                    source_guard(ROOT, variant, experiment)
+        with self.assertRaisesRegex(RuntimeError, "Source pin mismatch"):
+            source_guard(ROOT, "corrected")  # Omission still uses the historical profile.
+
+    def test_current_manifest_pins_actual_corrected_tree(self):
+        pins = json.loads((HERE / "data/les_flow/source_pins_a135252.json").read_text())
+        tracked = subprocess.check_output(["git", "-C", str(ROOT), "ls-files", "src"], text=True)
+        self.assertEqual(set(pins["sources"]), set(tracked.splitlines()))
+        for name, expected in pins["sources"].items():
+            self.assertEqual(hashlib.sha256((ROOT / name).read_bytes()).hexdigest(), expected)
+        self.assertEqual(pins["sources"][HEADER], pins["candidate_header_sha256"])
+        self.assertNotEqual(pins["sources"][HEADER], pins["baseline_header_sha256"])
+        with self.assertRaisesRegex(RuntimeError, "Source pin mismatch"):
+            source_guard(ROOT, "baseline", "a135252")
+
+    def test_named_baseline_accepts_only_reversed_header(self):
+        pins = json.loads((HERE / "data/les_flow/source_pins_a135252.json").read_text())
+        with TemporaryDirectory() as directory:
+            root = Path(directory)
+            for name in pins["sources"]:
+                dest = root / name
+                dest.parent.mkdir(parents=True, exist_ok=True)
+                shutil.copyfile(ROOT / name, dest)
+            subprocess.run(["git", "apply", "--reverse", str(HERE / "les/data/smagorinsky_normalization.patch")], cwd=root, check=True)
+            with patch("run_uniform_les_flow.subprocess.check_output", return_value="baseline-fixture\n"):
+                source_guard(root, "baseline", "a135252")
+                with self.assertRaisesRegex(RuntimeError, "Source pin mismatch"):
+                    source_guard(root, "corrected", "a135252")
 
     def test_gpu_requires_opt_in_before_import(self):
         with TemporaryDirectory() as directory:

tests/unit/test_projected_explosion.py

@@ -0,0 +1,394 @@
+"""CPU stencil and actual closed-interface packet budgets; no CUDA claims."""
+import numpy as np
+import unittest
+from pathlib import Path
+from dataclasses import replace
+import shutil
+import subprocess
+import tempfile
+
+from CelerisLab.config import LBMConfig
+from CelerisLab.lbm.blocks import BlockLayout2D
+from CelerisLab.lbm.descriptors import D2Q9_EX, D2Q9_EY
+from CelerisLab.lbm.refinement import FixedPatch2D, FixedPatchSet2D, ACTIVE, OUTER_GHOST
+from CelerisLab.lbm.refinement_tables import projected_explosion_tables
+from CelerisLab.lbm.hierarchy import build_hierarchy
+from tests.unit.test_hierarchy import CFG, FOUR
+
+E = np.array([D2Q9_EX, D2Q9_EY]).T
+W = np.array([4/9] + [1/9]*4 + [1/36]*4)
+
+
+def setup(union=False, bounds=(4, 4, 12, 12)):
+    cfg = LBMConfig(nx=16, ny=16, viscosity=.1)
+    p = (FixedPatchSet2D.from_config(cfg, [bounds]) if union else
+         FixedPatch2D.from_config(cfg, bounds))
+    layout = BlockLayout2D.build(16, 16, 4, 4, periodic=(True, True))
+    neighbors, offsets = projected_explosion_tables(p, layout, np.where(p.covered, OUTER_GHOST, ACTIVE))
+    inverse = np.full(layout.nblocks * np.prod(layout.local_shape), -1, dtype=int)
+    inverse[layout.owner.ravel()] = np.arange(256)
+    return p, inverse[neighbors], offsets
+
+
+def reconstruct(c, p, neighbors, offsets, project=True):
+    # Independent NumPy evaluation of the documented stencil; neighbors have
+    # been decoded from actual blocked owner IDs, not recomputed geometry.
+    values = c.reshape(9, -1)[:, neighbors]
+    g = .5 * (values[:, :, 1::2] - values[:, :, ::2])
+    if project:
+        g[1:] -= (np.einsum('qra,qa->qr', g[1:], E[1:]) /
+                  np.sum(E[1:]**2, axis=1)[:, None])[:, :, None] * E[1:, None, :]
+    out = c.reshape(9, -1)[:, p.ghost_coarse] + np.einsum('qra,ra->qr', g, offsets)
+    return out, g
+
+
+def check_legal_footprint_mean_and_characteristic(union, bounds):
+    p, neighbors, offsets = setup(union, bounds)
+    assert set(neighbors.ravel()) <= set(p.ghost_coarse)
+    assert not p.covered.ravel()[neighbors].any()
+    assert (neighbors >= 0).all()
+    c = np.random.default_rng(72).normal(size=(9,16,16))
+    c[:, p.covered] = np.nan  # poison every forbidden donor
+    out, g = reconstruct(c, p, neighbors, offsets)
+    assert np.isfinite(out).all()
+    np.testing.assert_allclose(np.einsum('qra,qa->qr', g, E), 0, atol=5e-16)
+    for d in np.unique(p.ghost_coarse):
+        rows = p.ghost_coarse == d
+        assert rows.sum() == 4
+        np.testing.assert_allclose(out[:, rows].mean(axis=1), c.reshape(9,-1)[:,d], atol=5e-16)
+        for q in range(1,9):
+            delta = offsets[rows, None, :] - offsets[None, rows, :]
+            # Parallel displacements have zero 2D cross product.
+            parallel = np.isclose(delta[...,0]*E[q,1]-delta[...,1]*E[q,0], 0)
+            diff = out[q, rows][:,None]-out[q, rows][None,:]
+            np.testing.assert_allclose(diff[parallel], 0, atol=5e-16)
+    const = np.broadcast_to(W[:,None,None], (9,16,16)).copy()
+    constant, _ = reconstruct(const,p,neighbors,offsets)
+    np.testing.assert_array_equal(constant, np.broadcast_to(W[:,None], constant.shape))
+
+
+def collide(f, tau):
+    rho = f.sum(axis=0)
+    u = np.einsum('qa,q...->a...', E, f) / rho
+    cu = np.einsum('qa,a...->q...', E, u)
+    eq = W[:,None] * rho * (1 + 3*cu + 4.5*cu**2 - 1.5*np.sum(u*u,axis=0))
+    return f + (eq-f)/tau
+
+
+def totals(c, f, p):
+    q = c[:,~p.covered].sum(axis=1)+.25*f[:,p.fine_kind==ACTIVE].sum(axis=1)
+    return np.r_[q.sum(), E.T@q]
+
+
+def check_full_two_hop_closed_corner_budget(union, collision, bounds):
+    p, neighbors, offsets = setup(union,bounds)
+    rng=np.random.default_rng(17)
+    c=W[:,None,None]*(1+rng.normal(0,.002,(9,16,16)))
+    f=W[:,None,None]*(1+rng.normal(0,.002,(9,*p.fine_shape)))
+    start=totals(c,f,p)
+    # Count exactly the eight coarse diagonal links whose source is also
+    # uncovered, but whose midpoint lies on the closed rectangular interface.
+    q, k=np.divmod(p.coalesce_coarse.astype(np.int64),256)
+    y,x=np.divmod(k,16)
+    grazing=~p.covered[y-E[q,1],x-E[q,0]]
+    assert grazing.sum()==8
+    c[:,p.covered]=np.nan
+    for _ in range(8):
+        f.reshape(9,-1)[:,p.ghost_fine]=reconstruct(c,p,neighbors,offsets)[0]
+        for _ in range(2):
+            f=np.array([np.roll(f[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(E)])
+            f[:,p.fine_kind==OUTER_GHOST]=np.nan
+            if collision:
+                f[:,p.fine_kind==ACTIVE]=collide(f[:,p.fine_kind==ACTIVE],p.tau_fine)
+        out=np.array([np.roll(c[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(E)])
+        packets=f.reshape(-1)[p.coalesce_fine].mean(axis=1)
+        assert np.isfinite(packets[grazing]).all()
+        out.reshape(-1)[p.coalesce_coarse]=packets
+        if collision:out[:,~p.covered]=collide(out[:,~p.covered],p.tau_coarse)
+        out[:,p.covered]=np.nan
+        c=out
+        np.testing.assert_allclose(totals(c,f,p),start,rtol=0,atol=2e-12)
+
+
+def check_projection_is_distinguished_by_characteristic_not_global_mass():
+    p,n,o=setup()
+    c=np.random.default_rng(8).normal(size=(9,16,16))
+    _,g=reconstruct(c,p,n,o,project=False)
+    assert np.max(abs(np.einsum('qra,qa->qr',g,E))) > .1
+
+
+
+
+class ProjectedExplosionTests(unittest.TestCase):
+    def test_stencil(self):
+        for union in (False, True):
+            for bounds in ((4,4,12,12),(2,3,9,10),(2,2,3,3)):
+                with self.subTest(union=union,bounds=bounds):
+                    check_legal_footprint_mean_and_characteristic(union,bounds)
+
+    def test_closed_interface(self):
+        for union in (False,True):
+            for collision in (False,True):
+                for bounds in ((4,4,12,12),(2,3,14,12),(2,2,3,3)):
+                    with self.subTest(union=union,collision=collision,bounds=bounds):
+                        check_full_two_hop_closed_corner_budget(union,collision,bounds)
+
+    def test_projection(self):
+        check_projection_is_distinguished_by_characteristic_not_global_mass()
+
+    def test_affine_and_shift_invariance(self):
+        p,n,o=setup()
+        y,x=np.indices((16,16))
+        c=np.array([.7+q*.01+x*.03+y*.05 for q in range(9)])
+        out,g=reconstruct(c,p,n,o)
+        available=n[:,::2]!=n[:,1::2]
+        gradient=np.array([.03,.05])*available
+        expected=np.broadcast_to(gradient,(9,*gradient.shape)).copy()
+        expected[1:]-=(np.einsum('qra,qa->qr',expected[1:],E[1:])/
+                       np.sum(E[1:]**2,axis=1)[:,None])[:,:,None]*E[1:,None,:]
+        np.testing.assert_allclose(g,expected,atol=2e-16)
+        shifted,_=reconstruct(c-W[:,None,None],p,n,o)
+        np.testing.assert_allclose(out-W[:,None],shifted,atol=5e-16)
+
+
+class ProjectedKernelTests(unittest.TestCase):
+    @unittest.skipUnless(shutil.which("g++"), "g++ is required for actual-kernel CPU arithmetic")
+    def test_actual_kernel_fp32_shifted_and_unshifted(self):
+        p, neighbors, offsets = setup(True)
+        parent = BlockLayout2D.build(16,16,4,4,periodic=(True,True))
+        child = p.fine_layout((8,4))  # deliberately unequal parent/child strides
+        ids, offsets = projected_explosion_tables(p,parent,np.where(p.covered,OUTER_GHOST,ACTIVE))
+        cells = int(np.prod(parent.local_shape))
+        targets = child.owner.ravel()[p.ghost_fine]
+        donors = parent.owner.ravel()[p.ghost_coarse]
+        source = (Path(__file__).resolve().parents[2] /
+                  "src/CelerisLab/lbm/kernels/blocks.cu").read_text()
+        kernel = source.split('extern "C" __global__ void BlockExplodeProjected(',1)[1]
+        kernel = 'void BlockExplodeProjected(' + kernel.split('// Targets are receiver-local SOURCE slots',1)[0]
+        def array(name, values, kind):
+            v = np.asarray(values).ravel()
+            text = ','.join(str(int(x)) if kind=='uint64_t' else float(x).hex()+'f' for x in v)
+            return f"{kind} {name}[] = {{{text}}};\n"
+        for shifted in (False,True):
+            c=np.random.default_rng(11).normal(0,.001,(9,16,16))
+            if not shifted:c+=W[:,None,None]
+            c=c.astype(np.float32)
+            packed=np.full(parent.nblocks*9*cells,np.nan,np.float32)
+            for q in range(9):packed[parent.slot(parent.owner.ravel(),q)]=c[q].ravel()
+            # All halo/covered inputs are poisoned; kernel must use legal cores.
+            for q in range(9):packed[parent.slot(parent.owner.ravel()[p.covered.ravel()],q)]=np.nan
+            # Hex initializer needs a portable expression for poisoned NaNs.
+            data=array('coarse',packed,'float').replace('nanf','NAN')
+            code = '#include <cstdint>\n#include <cmath>\n#include <cstdio>\nusing fpxx=float;\n'
+            code += f'constexpr unsigned NQ=9, TOTAL_CELLS={int(np.prod(child.local_shape))};\n'
+            code += 'struct Id {unsigned x;}; Id blockIdx{0},blockDim{1},threadIdx{0};\n'
+            code += 'unsigned index_f(unsigned k,unsigned q){return q*TOTAL_CELLS+k;}\n'
+            code += 'int d_cx[]={0,1,-1,0,0,1,-1,1,-1},d_cy[]={0,0,0,1,-1,1,-1,-1,1};\n'+kernel
+            code += data+array('target',targets,'uint64_t')+array('donor',donors,'uint64_t')
+            code += array('neighbor',ids,'uint64_t')+array('offset',offsets,'float')
+            code += f'float fine[{child.nblocks*9*int(np.prod(child.local_shape))}]={{}};\n'
+            code += f'int main(){{for(unsigned r=0;r<{len(targets)};++r){{threadIdx.x=r;BlockExplodeProjected(coarse,fine,target,donor,{len(targets)},{cells},neighbor,offset);}}'
+            code += f'for(unsigned q=0;q<9;++q)for(unsigned r=0;r<{len(targets)};++r){{auto t=target[r];printf("%.9g\\n",fine[(t/TOTAL_CELLS)*9*TOTAL_CELLS+q*TOTAL_CELLS+t%TOTAL_CELLS]);}}}}'
+            with tempfile.TemporaryDirectory() as folder:
+                src=Path(folder)/'kernel.cpp'; binary=Path(folder)/'kernel'
+                src.write_text(code)
+                subprocess.run(['g++','-std=c++17','-O2',str(src),'-o',str(binary)],check=True,capture_output=True)
+                result=np.fromstring(subprocess.check_output([str(binary)],text=True),sep=' ').reshape(9,-1)
+            expected,_=reconstruct(c.astype(float),p,neighbors,offsets)
+            np.testing.assert_allclose(result,expected,atol=6e-8,rtol=2e-7)
+
+
+UNIONS = [
+    [(8, 8, 24, 20)],
+    [(8, 8, 16, 20), (16, 8, 24, 20)],       # abutting
+    [(8, 8, 18, 20), (14, 8, 24, 20)],       # overlap
+    [(8, 8, 16, 20), (17, 8, 24, 20)],       # gap 1
+    [(8, 8, 16, 20), (18, 8, 24, 20)],       # gap 2
+    [(8, 8, 16, 20), (19, 8, 24, 20)],       # gap 3
+    [(8, 8, 20, 14), (8, 14, 14, 22)],       # L concavity
+    [(4, 4, 10, 10), (18, 16, 26, 26)],      # separated
+    [(4, 4, 5, 7), (4, 5, 7, 7)],           # known concave exit/re-entry path
+]
+
+
+def decode(layout, neighbors):
+    inverse = np.full(layout.hole, -1, dtype=int)
+    inverse[layout.owner[layout.owned]] = np.flatnonzero(layout.owned)
+    return inverse[neighbors]
+
+
+def check_pair_stencil(pair, layout, kind):
+    ids, offsets = projected_explosion_tables(pair, layout, kind)
+    neighbors = decode(layout, ids)
+    legal = set(map(int, pair.ghost_coarse))
+    assert len(np.unique(pair.ghost_fine)) == len(pair.ghost_fine)
+    assert set(neighbors.ravel()) <= legal
+    assert layout.owned.ravel()[neighbors].all()
+    assert (kind.ravel()[neighbors] == ACTIVE).all()
+    assert not pair.covered.ravel()[neighbors].any()
+    ny, nx = pair.coarse_shape
+    for row, donor in enumerate(pair.ghost_coarse):
+        y, x = divmod(int(donor), nx)
+        for axis, (dx, dy) in enumerate(((1, 0), (0, 1))):
+            ends = [(x - dx, y - dy), (x + dx, y + dy)]
+            expected = []
+            for xx, yy in ends:
+                outside = not (0 <= xx < nx and 0 <= yy < ny)
+                if outside and not layout.periodic[axis]:
+                    break
+                cell = (yy % ny) * nx + xx % nx
+                if cell not in legal:
+                    break
+                expected.append(cell)
+            if len(expected) != 2:
+                expected = [int(donor)] * 2
+            np.testing.assert_array_equal(neighbors[row, 2*axis:2*axis+2], expected)
+        fy, fx = divmod(int(pair.ghost_fine[row]), pair.fine_shape[1])
+        expected = [pair.fine_origin[0]+(fx+.5)/2-(x+.5),
+                    pair.fine_origin[1]+(fy+.5)/2-(y+.5)]
+        np.testing.assert_array_equal(offsets[row], expected)
+    assert set(offsets.ravel()) == {-.25, .25}
+    assert ids.dtype == np.uint64 and ids.flags.c_contiguous
+    assert offsets.dtype == np.float32 and offsets.flags.c_contiguous
+    return neighbors, offsets
+
+
+class GenericProjectedPairs(unittest.TestCase):
+    def test_single_window_and_singleton_union_exact_stencils(self):
+        for bounds in ((4,4,12,12), (2,3,9,10), (2,2,3,3)):
+            a, an, ao = setup(False, bounds)
+            b, bn, bo = setup(True, bounds)
+            np.testing.assert_array_equal(a.ghost_coarse, b.ghost_coarse)
+            np.testing.assert_array_equal(an, bn)
+            np.testing.assert_array_equal(ao, bo)
+            # Coordinates differ between scalar and union arrays; physical rows don't.
+            ay, ax = np.divmod(a.ghost_fine, a.fine_shape[1])
+            by, bx = np.divmod(b.ghost_fine, b.fine_shape[1])
+            np.testing.assert_array_equal(ax + 2*a.fine_origin[0], bx)
+            np.testing.assert_array_equal(ay + 2*a.fine_origin[1], by)
+
+    def test_union_decomposition_permutation_and_topologies(self):
+        cfg = LBMConfig(nx=30, ny=30, viscosity=.1)
+        layout = BlockLayout2D.build(30,30,6,5,periodic=(True,True))
+        stencils = []
+        for rectangles in UNIONS:
+            pair = FixedPatchSet2D.from_config(cfg, rectangles)
+            kind = np.where(pair.covered, OUTER_GHOST, ACTIVE)
+            n, o = check_pair_stencil(pair, layout, kind)
+            other = FixedPatchSet2D.from_config(cfg, rectangles[::-1])
+            on, oo = projected_explosion_tables(other, layout, kind)
+            np.testing.assert_array_equal(n, decode(layout, on))
+            np.testing.assert_array_equal(o, oo)
+            stencils.append((pair.ghost_fine, pair.ghost_coarse, n, o))
+            c = np.random.default_rng(92).normal(size=(9,30,30))
+            c[:, pair.covered] = np.nan
+            values, gradients = reconstruct(c, pair, n, o)
+            self.assertTrue(np.isfinite(values).all())
+            np.testing.assert_allclose(np.einsum('qra,qa->qr', gradients, E),0,atol=1e-15)
+            # q0 keeps its full gradient; no division by zero or forced zero.
+            expected_q0 = .5*(c[0].ravel()[n[:,1::2]]-c[0].ravel()[n[:,::2]])
+            np.testing.assert_array_equal(gradients[0], expected_q0)
+            self.assertGreater(np.max(abs(gradients[0])), .1)
+            for donor in np.unique(pair.ghost_coarse):
+                rows = pair.ghost_coarse == donor
+                self.assertEqual(rows.sum(),4)
+                np.testing.assert_allclose(values[:,rows].mean(axis=1),c.reshape(9,-1)[:,donor],atol=1e-15)
+                for q in range(1,9):
+                    delta = o[rows,None,:]-o[None,rows,:]
+                    parallel = delta[...,0]*E[q,1] == delta[...,1]*E[q,0]
+                    diff = values[q,rows][:,None]-values[q,rows][None,:]
+                    np.testing.assert_allclose(diff[parallel],0,atol=1e-15)
+        for split in stencils[1:3]:
+            for expected, actual in zip(stencils[0],split):
+                np.testing.assert_array_equal(actual,expected)
+
+    def test_nested_scalar_origins_sparse_holes_and_unequal_strides(self):
+        cases = [(CFG, FOUR), (LBMConfig(nx=16,ny=16,viscosity=.02),
+                               [(4,4,12,12),(8,8,16,16),(8,8,16,16)])]
+        for cfg, refs in cases:
+            hierarchy = build_hierarchy(cfg,refs)
+            for index,pair in enumerate(hierarchy.pairs):
+                if index == 0:
+                    layout = BlockLayout2D.build(cfg.ny,cfg.nx,4,4,periodic=(True,True))
+                else:
+                    prior = hierarchy.pairs[index-1]
+                    layout = (prior.fine_layout((4,8)) if isinstance(prior,FixedPatchSet2D)
+                              else BlockLayout2D.build(*prior.fine_shape,4,8,periodic=(False,False)))
+                kind = hierarchy.kinds[index]
+                n,o = check_pair_stencil(pair,layout,kind)
+                c = np.random.default_rng(index).normal(size=(9,*pair.coarse_shape))
+                c[:,~layout.owned | (kind != ACTIVE)] = np.nan
+                self.assertTrue(np.isfinite(reconstruct(c,pair,n,o)[0]).all())
+                if index and isinstance(pair,FixedPatchSet2D):
+                    self.assertTrue((~layout.owned).any())
+                self.assertEqual(layout.periodic, (index == 0, index == 0))
+
+    def test_periodicity_is_per_axis_and_missing_pairs_repeat_center(self):
+        cfg=LBMConfig(nx=16,ny=16,viscosity=.1)
+        p=FixedPatch2D.from_config(cfg,(2,2,14,14))
+        kind=np.where(p.covered,OUTER_GHOST,ACTIVE)
+        results=[]
+        for periodic in ((False,False),(True,False),(False,True),(True,True)):
+            layout=BlockLayout2D.build(16,16,4,4,periodic=periodic)
+            n,_=check_pair_stencil(p,layout,kind)
+            results.append(n)
+            y,x=np.divmod(p.ghost_coarse,16)
+            for axis,coordinate in enumerate((x,y)):
+                edge=(coordinate==0)|(coordinate==15)
+                if not periodic[axis]:
+                    np.testing.assert_array_equal(n[edge,2*axis:2*axis+2],
+                        np.repeat(p.ghost_coarse[edge,None],2,axis=1))
+        self.assertTrue((results[0]!=results[1]).any())
+        self.assertTrue((results[0]!=results[2]).any())
+        self.assertTrue((results[1]!=results[3]).any())
+
+    def test_invalid_parent_donors_reject_before_owner_lookup(self):
+        p,_,_=setup()
+        layout=BlockLayout2D.build(16,16,4,4)
+        kind=np.where(p.covered,OUTER_GHOST,ACTIVE)
+        for nonactive in (1,2,255):
+            bad=kind.copy(); bad.ravel()[p.ghost_coarse[0]]=nonactive
+            with self.assertRaisesRegex(ValueError,'ACTIVE'):
+                projected_explosion_tables(p,layout,bad)
+        with self.assertRaisesRegex(ValueError,'shape'):
+            projected_explosion_tables(p,layout,kind[:1])
+        hole_layout=BlockLayout2D.build(16,16,4,4,origins=[(0,0)])
+        with self.assertRaisesRegex(ValueError,'owned'):
+            projected_explosion_tables(p,hole_layout,kind)
+
+    def test_generic_two_hop_mass_and_momentum_budget(self):
+        cfg=LBMConfig(nx=30,ny=30,viscosity=.1)
+        layout=BlockLayout2D.build(30,30,6,5)
+        grazing_counts=set()
+        for rectangles in UNIONS:
+            pair=FixedPatchSet2D.from_config(cfg,rectangles)
+            ids,o=projected_explosion_tables(pair,layout,np.where(pair.covered,OUTER_GHOST,ACTIVE))
+            n=decode(layout,ids)
+            q,k=np.divmod(pair.coalesce_coarse.astype(np.int64),900)
+            y,x=np.divmod(k,30)
+            grazing=~pair.covered[(y-E[q,1])%30,(x-E[q,0])%30]
+            grazing_counts.add(int(grazing.sum()))
+            self.assertTrue(grazing.any())
+            for collision in (False,True):
+                rng=np.random.default_rng(17)
+                c=W[:,None,None]*(1+rng.normal(0,.002,(9,30,30)))
+                f=W[:,None,None]*(1+rng.normal(0,.002,(9,*pair.fine_shape)))
+                start=totals(c,f,pair)
+                c[:,pair.covered]=np.nan
+                for _ in range(4):
+                    f.reshape(9,-1)[:,pair.ghost_fine]=reconstruct(c,pair,n,o)[0]
+                    for _ in range(2):
+                        f=np.array([np.roll(f[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(E)])
+                        f[:,pair.fine_kind==OUTER_GHOST]=np.nan
+                        if collision:
+                            f[:,pair.fine_kind==ACTIVE]=collide(f[:,pair.fine_kind==ACTIVE],pair.tau_fine)
+                    out=np.array([np.roll(c[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(E)])
+                    packets=f.reshape(-1)[pair.coalesce_fine].mean(axis=1)
+                    self.assertTrue(np.isfinite(packets[grazing]).all())
+                    out.reshape(-1)[pair.coalesce_coarse]=packets
+                    if collision:
+                        out[:,~pair.covered]=collide(out[:,~pair.covered],pair.tau_coarse)
+                    out[:,pair.covered]=np.nan
+                    c=out
+                    np.testing.assert_allclose(totals(c,f,pair),start,rtol=0,atol=4e-12)
+        self.assertGreater(len(grazing_counts),1)  # not a hard-coded eight-corner oracle

tests/unit/test_projected_pair_gate.py

@@ -0,0 +1,162 @@
+"""Host-only checks for the opt-in CUDA gate; never imports or compiles CUDA."""
+from copy import deepcopy
+import importlib.util
+from pathlib import Path
+import unittest
+from unittest.mock import patch
+
+import numpy as np
+
+from CelerisLab.config import LBMConfig
+from CelerisLab.lbm.blocks import BlockLayout2D
+from CelerisLab.lbm.hierarchy import build_hierarchy
+from CelerisLab.lbm.refinement import ACTIVE, OUTER_GHOST, FixedPatch2D, FixedPatchSet2D
+from CelerisLab.lbm.refinement_tables import projected_explosion_tables
+from tests.unit.test_hierarchy import CFG, FOUR
+from tests.unit.test_projected_explosion import decode, reconstruct, totals
+
+PATH = Path(__file__).resolve().parents[1] / 'validation/multigrid/check_projected_pairs.py'
+spec = importlib.util.spec_from_file_location('projected_pair_gate', PATH)
+gate = importlib.util.module_from_spec(spec)
+spec.loader.exec_module(gate)
+
+
+class ProjectedGateOracle(unittest.TestCase):
+    def check_pair(self, pair, layout, kind):
+        ids, offsets = projected_explosion_tables(pair, layout, kind)
+        neighbors = decode(layout, ids)
+        coarse = np.random.default_rng(731).normal(size=(9, *pair.coarse_shape))
+        legal = np.zeros(pair.coarse_shape, bool)
+        legal.ravel()[pair.ghost_coarse] = True
+        coarse[:, ~legal] = np.nan
+        expected, _ = reconstruct(coarse, pair, neighbors, offsets)
+        # The coordinate oracle must not accidentally share production tables.
+        with patch('CelerisLab.lbm.refinement_tables.projected_explosion_tables',
+                   side_effect=AssertionError('oracle used production stencil')):
+            actual = gate.independent_explosion(coarse, pair, layout, kind)
+        np.testing.assert_allclose(actual, expected, rtol=0, atol=2e-15)
+        center = coarse.reshape(9, -1)[:, pair.ghost_coarse]
+        self.assertTrue(np.isfinite(actual).all())
+        self.assertGreater(np.max(abs(actual[0] - center[0])), .01)
+        self.assertGreater(np.max(abs(actual[1:] - center[1:])), .01)
+        return coarse, neighbors, offsets, actual
+
+    def test_scalar_union_nested_sparse_and_unequal_strides(self):
+        def fine_layout(pair, block):
+            return (pair.fine_layout(block) if isinstance(pair, FixedPatchSet2D) else
+                    BlockLayout2D.build(*pair.fine_shape, *block, periodic=(False,False)))
+        small = LBMConfig(nx=16, ny=16, viscosity=.02)
+        fixtures = [(small, [(4,4,12,12), (8,8,16,16), (8,8,16,16)]),
+                    (CFG, FOUR), (small, [[(4,4,5,7), (4,5,7,7)]])]
+        for cfg, refs in fixtures:
+            hierarchy = build_hierarchy(cfg, refs)
+            for index, pair in enumerate(hierarchy.pairs):
+                block, child_block = ((4,4), (4,8)) if index % 2 == 0 else ((4,8), (4,4))
+                layout = (BlockLayout2D.build(cfg.ny, cfg.nx, *block) if index == 0
+                          else fine_layout(hierarchy.pairs[index-1], block))
+                with self.subTest(refs=refs, pair=index):
+                    self.assertNotEqual(np.prod(layout.local_shape),
+                                        np.prod(fine_layout(pair, child_block).local_shape))
+                    if index and isinstance(pair, FixedPatchSet2D):
+                        self.assertTrue((~layout.owned).any())
+                    self.check_pair(pair, layout, hierarchy.kinds[index])
+
+    def test_axis_periodicity_and_mean_preserving_mutants(self):
+        pair = FixedPatch2D.from_config(LBMConfig(nx=16,ny=16,viscosity=.1), (2,2,14,14))
+        kind = np.where(pair.covered, OUTER_GHOST, ACTIVE)
+        outputs = []
+        for periodic in ((False,False), (True,False), (False,True), (True,True)):
+            layout = BlockLayout2D.build(16,16,4,4,periodic=periodic)
+            coarse, neighbors, offsets, actual = self.check_pair(pair, layout, kind)
+            outputs.append(actual)
+            donors, first, inverse = np.unique(pair.ghost_coarse, return_index=True, return_inverse=True)
+            wrong = neighbors[first[np.roll(np.arange(len(donors)), 1)]][inverse]
+            for bad_neighbors, bad_offsets in ((neighbors, -offsets), (wrong, offsets)):
+                mutant, _ = reconstruct(coarse, pair, bad_neighbors, bad_offsets)
+                self.assertGreater(np.max(abs(mutant - actual)), .01)
+                for donor in donors:
+                    rows = pair.ghost_coarse == donor
+                    self.assertEqual(rows.sum(), 4)
+                    np.testing.assert_allclose(mutant[:,rows].mean(axis=1),
+                                               coarse.reshape(9,-1)[:,donor], rtol=0, atol=1e-15)
+            bad_kind = kind.copy(); bad_kind.ravel()[pair.ghost_coarse[0]] = OUTER_GHOST
+            with self.assertRaisesRegex(AssertionError, 'illegal center donor'):
+                gate.independent_explosion(coarse, pair, layout, bad_kind)
+        for i, j in ((0,1), (0,2), (1,3), (2,3)):
+            self.assertGreater(np.max(abs(outputs[i] - outputs[j])), .01)
+
+    def test_concave_replay_preserves_existing_fp64_budget(self):
+        cfg, refs, blocks = gate.cases()['concave']
+        hierarchy = build_hierarchy(cfg, refs); pair = hierarchy.pairs[0]
+        layout = BlockLayout2D.build(cfg.ny, cfg.nx, *blocks[0])
+        rng = np.random.default_rng(17)
+        values = tuple(gate.W[:,None,None] * (1 + rng.normal(0,.002,(9,*shape)))
+                       for shape in (pair.coarse_shape, pair.fine_shape))
+        start = totals(*values, pair)
+        values[0][:,pair.covered] = np.nan
+        for _ in range(8):
+            values = gate.replay_two_hops(values, pair, layout, hierarchy.kinds[0])
+            np.testing.assert_allclose(totals(*values, pair), start, rtol=0, atol=4e-12)
+        self.assertEqual(gate.REPLAY_ATOL, 3e-6)  # CUDA replay bound is separate.
+
+
+class ProjectedGateReceipts(unittest.TestCase):
+    def test_digest_exact_finite_bits_and_nan_masks(self):
+        values = np.array([0., -0., np.nan, 1.], dtype=np.float32)
+        self.assertEqual(gate.digest(values), gate.digest(values.copy()))
+        payload = values.copy(); payload.view(np.uint32)[2] = 0x7fc00001
+        self.assertEqual(gate.digest(values), gate.digest(payload))
+        variants = [np.array([-0., -0., np.nan, 1.], np.float32),
+                    np.array([0., np.nan, -0., 1.], np.float32),
+                    np.array([0., -0., np.nan, np.nextafter(np.float32(1), np.float32(2))], np.float32),
+                    values.reshape(2,2), values.astype(np.float64)]
+        for changed in variants:
+            self.assertNotEqual(gate.digest(values), gate.digest(changed))
+        with self.assertRaisesRegex(AssertionError, 'infinite'):
+            gate.digest(np.array([np.inf]))
+
+    def test_snapshot_negative_controls_and_exact_dev_options(self):
+        snapshot = [dict(step=0, levels=[dict(raw='raw',public='public',active=4)],
+                         mass_momentum=[1.,0.,0.],observed_level_hops=[0,0])]
+        gate.compare_snapshots(snapshot, deepcopy(snapshot))
+        diagnostic = deepcopy(snapshot); diagnostic[0]['mass_momentum'][0] = 2.
+        gate.compare_snapshots(snapshot, diagnostic)  # Diagnostics are not bitwise gate fields.
+        mutants = [[]]
+        for key, value in (('raw','changed'), ('public','changed'), ('active',3)):
+            changed = deepcopy(snapshot); changed[0]['levels'][0][key] = value
+            mutants.append(changed)
+        changed = deepcopy(snapshot); changed[0]['step'] = 1; mutants.append(changed)
+        changed = deepcopy(snapshot); changed[0]['observed_level_hops'] = [0,1]; mutants.append(changed)
+        for changed in mutants:
+            with self.assertRaises(AssertionError):
+                gate.compare_snapshots(snapshot, changed)
+        self.assertEqual(gate.default_options('omitted'), {})
+        self.assertEqual(gate.default_options('constant'), {'explosion':'constant'})
+        self.assertEqual(gate.default_options('projected_linear'), {'explosion':'projected_linear'})
+
+    def test_baseline_receipt_rejects_provenance_and_contract_mutants(self):
+        keys = [f'{name}:shifted={shifted}' for name in gate.cases() for shifted in (False,True)]
+        good = dict(completed=True,dry_run=False,mode='baseline',production_revision=gate.BASE,
+                    source=dict(revision=gate.BASE,dirty=False),driver_sha256='driver',
+                    stops=list(gate.STOPS),operator_tolerance=[6e-8,2e-7],
+                    rest_tolerance=[3e-7,1e-6],replay_tolerance=[3e-6,0],default_snapshots=dict.fromkeys(keys, []),
+                    actual_build_sidecars=[{'ptx_sha256':'captured'}])
+        self.assertIs(gate.baseline_receipt(good, 'driver', keys), good)
+        mutants = dict(completed=False,dry_run=True,mode='candidate',production_revision='wrong',
+                       driver_sha256='wrong',stops=[0,1,2],operator_tolerance=[1e-6,2e-7],
+                       rest_tolerance=[3e-7,1e-5],replay_tolerance=[3e-6,1e-7],actual_build_sidecars=[],default_snapshots={})
+        for field, value in mutants.items():
+            bad = deepcopy(good); bad[field] = value
+            with self.subTest(field=field), self.assertRaises(ValueError):
+                gate.baseline_receipt(bad, 'driver', keys)
+        for changes in (dict(revision='wrong'), dict(dirty=True), dict(dirty=None)):
+            bad = deepcopy(good); bad['source'].update(changes)
+            with self.assertRaises(ValueError):
+                gate.baseline_receipt(bad, 'driver', keys)
+        bad = deepcopy(good); bad['default_snapshots']['unexpected'] = []
+        with self.assertRaises(ValueError):
+            gate.baseline_receipt(bad, 'driver', keys)
+
+
+if __name__ == '__main__':
+    unittest.main()

tests/unit/test_projected_pair_stepper.py

@@ -0,0 +1,198 @@
+"""Production host dispatch with CUDA doubles; no CUDA compilation or flow runs."""
+from contextlib import nullcontext
+from dataclasses import replace
+from unittest.mock import Mock
+import unittest
+
+import numpy as np
+
+from CelerisLab.config import LBMConfig
+from tests.unit.test_hierarchy import CFG, FOUR
+from tests.unit.test_refinement_three_level_multipatch import host_module
+
+
+def backend(**options):
+    host = host_module()
+    calls, allocations, storage = [], [], {}
+    context = Mock(activate=nullcontext, sm_arch='sm_70')
+    host.cuda.mem_alloc.side_effect = lambda size: allocate(size)
+
+    def allocate(size):
+        pointer = Mock(name=f'buffer{len(allocations)}', size=size)
+        allocations.append(pointer)
+        return pointer
+
+    def load(_):
+        module = Mock()
+        module.get_global.return_value = (Mock(), 20)
+        module.get_function.side_effect = lambda name: Mock(
+            name=name, side_effect=lambda *a, **kw: calls.append((name, a, kw)))
+        return module
+
+    host.compiler.load_module.side_effect = load
+    host.cuda.memcpy_htod.side_effect = lambda ptr, a: storage.__setitem__(id(ptr), np.array(a, copy=True))
+    host.cuda.memcpy_dtoh.side_effect = lambda a, ptr: np.copyto(a, storage[id(ptr)])
+    cfg = options.pop('cfg', CFG)
+    refinements = options.pop('refinements', FOUR)
+    blocks = options.pop('level_blocks', [(4, 4)] * (len(refinements) + 1))
+    run = host.FixedPatchStepper(cfg, context=context, refinements=refinements,
+                                level_blocks=blocks, **options)
+    run.initialize(*(np.full(level.shape, 1/9, np.float32) for level in run._levels))
+    return run, host, calls, allocations, storage
+
+
+def trace(run, calls, allocations, storage):
+    """Stable pointer identities expose allocations/arguments, not just kernel names."""
+    pointer = {id(value): index for index, value in enumerate(allocations)}
+    launches = [(name, tuple(('ptr', pointer[id(a)]) if id(a) in pointer else int(a)
+                            for a in args), kw['grid'], kw['block'])
+                for name, args, kw in calls]
+    uploads = [(index, value.dtype.str, value.shape, value.tobytes())
+               for index, ptr in enumerate(allocations) if (value := storage.get(id(ptr))) is not None]
+    return [p.size for p in allocations], uploads, launches
+
+
+class ProjectedPairDispatch(unittest.TestCase):
+    def test_omitted_and_constant_have_identical_allocations_uploads_and_launches(self):
+        results = []
+        for options in ({}, {'explosion': 'constant'}):
+            run, host, calls, allocations, storage = backend(**options)
+            self.assertEqual(run._explosion, 'constant')
+            self.assertTrue(all(p.neighbors is None and p.offsets is None for p in run._pairs))
+            run.step()
+            explosion = [args for name, args, _ in calls if name == 'BlockExplode']
+            self.assertEqual(len(explosion), 7)
+            self.assertTrue(all(len(args) == 6 for args in explosion))
+            self.assertFalse(any(name == 'BlockExplodeProjected' for name, _, _ in calls))
+            results.append(trace(run, calls, allocations, storage))
+            run.close()
+        self.assertEqual(*results)
+
+    def test_projected_adds_exactly_two_tables_per_adjacent_pair(self):
+        for depth in (2, 3, 4):
+            constant, _, _, ca, _ = backend(refinements=FOUR[:depth-1])
+            projected, _, calls, pa, storage = backend(
+                refinements=FOUR[:depth-1], explosion='projected_linear')
+            self.assertEqual(len(pa)-len(ca), 2*(depth-1))
+            for pair, geometry in zip(projected._pairs, projected.hierarchy.pairs):
+                self.assertEqual(storage[id(pair.neighbors)].shape, (len(geometry.ghost_fine), 4))
+                self.assertEqual(storage[id(pair.offsets)].shape, (len(geometry.ghost_fine), 2))
+                self.assertEqual(pair.neighbors.size, len(geometry.ghost_fine)*4*8)
+                self.assertEqual(pair.offsets.size, len(geometry.ghost_fine)*2*4)
+            projected.step()
+            explosions = [args for name, args, _ in calls if name == 'BlockExplodeProjected']
+            self.assertEqual(len(explosions), 2**(depth-1)-1)
+            self.assertTrue(all(len(args) == 8 for args in explosions))
+            self.assertFalse(any(name == 'BlockExplode' for name, _, _ in calls))
+            for args in explosions:
+                pair = next(p for p in projected._pairs if args[2] is p.ghosts)
+                self.assertIs(args[6], pair.neighbors)
+                self.assertIs(args[7], pair.offsets)
+                self.assertEqual(args[5], pair.parent_cells)
+            constant.close(); projected.close()
+
+    def test_three_and_four_level_schedule_has_fresh_midpoint_sources(self):
+        for depth in (3, 4):
+            for explosion in ('constant', 'projected_linear'):
+                run, host, calls, allocations, storage = backend(
+                    refinements=FOUR[:depth-1], explosion=explosion)
+                before = len(allocations)
+                events = []
+                for index, pair in enumerate(run._pairs):
+                    pair.explode.side_effect = lambda source, *a, index=index, **kw: events.append(('explode', index, source))
+                    pair.coalesce.side_effect = lambda child, source, *a, index=index, **kw: events.append(('restrict', index, source))
+                for index, level in enumerate(run._levels):
+                    level.kernel.side_effect = lambda source, *a, index=index, **kw: events.append(('step', index, source))
+                    level.halo_copy.side_effect = lambda source, *a, index=index, **kw: events.append(('halo', index, source))
+                expected = []
+
+                def hop(index, source):
+                    if index+1 < depth:
+                        expected.append(('explode', index, source))
+                        child = run._levels[index+1]
+                        hop(index+1, child.current)
+                        hop(index+1, child.spare)
+                    expected.append(('halo', index, source))
+                    if index+1 < depth:
+                        expected.append(('restrict', index, source))
+                    expected.append(('step', index, source))
+
+                hop(0, run._levels[0].current)
+                run.step()
+                self.assertEqual(events, expected)
+                self.assertEqual([level.kernel.call_count for level in run._levels], [2**i for i in range(depth)])
+                self.assertEqual(len(allocations), before)
+                self.assertEqual(run.step_count, 1)
+                for index in range(1, depth-1):
+                    feeds = [source for name, pair, source in events if name == 'explode' and pair == index]
+                    self.assertEqual(feeds, [run._levels[index].current, run._levels[index].spare] * (2**(index-1)))
+                run.close()
+
+    def test_scalar_windows_follow_the_same_pair_path(self):
+        run, _, _, _, _ = backend(cfg=LBMConfig(nx=16,ny=16,viscosity=.02),
+            refinements=[(4,4,12,12),(8,8,16,16),(8,8,16,16)],
+            level_blocks=[(4,4),(4,8),(8,4),(4,4)], explosion='projected_linear')
+        self.assertTrue(all(pair.neighbors is not None for pair in run._pairs))
+        self.assertEqual([pair.parent_cells for pair in run._pairs], [36,60,60])
+        run.step()
+        self.assertEqual([level.kernel.call_count for level in run._levels], [1,2,4,8])
+        run.close()
+
+    def test_physics_gate_precedes_context_and_allocations(self):
+        host = host_module()
+        context = Mock()
+        options = dict(refinements=FOUR[:1], level_blocks=[(4,4)]*2,
+                       explosion='projected_linear', context=context)
+        for cfg, changes in [(CFG, {'explosion':'unknown'}),
+                             (CFG, {'coarse_boundary':'slot_reservoir'}),
+                             (CFG, {'coarse_boundary':'channel'}),
+                             (CFG, {'level_blocks':[None,None], 'refinements':[(6,6,26,26)]}),
+                             (CFG, {'level_objects':[(),(object(),)]}),
+                             (CFG, {'level_jets':[(),(object(),)]}),
+                             (replace(CFG,collision='MRT'), {}),
+                             (replace(CFG,les_enabled=True), {})]:
+            with self.subTest(changes=changes, cfg=cfg), self.assertRaisesRegex(ValueError,'explosion'):
+                host.FixedPatchStepper(cfg, **dict(options, **changes))
+        context.activate.assert_not_called()
+        host.cuda.mem_alloc.assert_not_called()
+        # The legacy constant path still allows MRT and dense storage.
+        for options in ({'cfg':replace(CFG,collision='MRT')},
+                        {'level_blocks':[None,None], 'refinements':[(6,6,26,26)]}):
+            run, _, _, _, _ = backend(**options)
+            run.close()
+
+    def test_remap_preserves_selector_tables_and_constant_default(self):
+        for explosion in ('constant','projected_linear'):
+            run, host, _, _, storage = backend(refinements=FOUR[:2], explosion=explosion)
+            run._step_count = 7
+            old = run.download()
+            clone = run.remap_child(FOUR[1])
+            self.assertEqual(clone._explosion, explosion)
+            self.assertEqual(clone.step_count, 7)
+            for pair in clone._pairs:
+                self.assertEqual(pair.neighbors is None, explosion == 'constant')
+            for expected, actual in zip(old, clone.download()):
+                np.testing.assert_array_equal(actual,expected)
+            clone.step()
+            self.assertEqual((run.step_count,clone.step_count), (7,8))
+            clone.close(); run.close()
+
+    def test_changed_remap_geometry_keeps_projected_in_both_representations(self):
+        changed = [(22,22,42,42), (72,68,76,76)]
+        for shifted in (False, True):
+            run, _, _, _, _ = backend(cfg=replace(CFG,ddf_shifting=shifted),
+                refinements=FOUR[:2], explosion='projected_linear')
+            run._step_count = 3
+            before = run.download()
+            clone = run.remap_child(changed)
+            self.assertEqual(clone._explosion, 'projected_linear')
+            self.assertEqual(clone.hierarchy.pairs[1].bounds, tuple(changed))
+            self.assertNotEqual(clone._pairs[1].n_ghosts, run._pairs[1].n_ghosts)
+            for old, new in zip(run._pairs, clone._pairs):
+                self.assertIsNot(old.neighbors, new.neighbors)
+                self.assertIsNotNone(new.neighbors)
+            for expected, actual in zip(before, run.download()):
+                np.testing.assert_array_equal(actual, expected)
+            clone.step()
+            self.assertEqual((run.step_count, clone.step_count), (3, 4))
+            clone.close(); run.close()

tests/unit/test_refined_dfg.py

@@ -15,7 +15,11 @@ h, periodic = r.helpers(r.DEFAULT_SOURCE)
 def test_source_pin():
     historical = json.loads((r.HERE / "data/refined_dfg/source_manifest.json").read_text())
     assert historical["commit"].startswith("cd3a657")
-    assert r.verify_source(r.DEFAULT_SOURCE, "MRT")["commit"].startswith("3ea131e")
+    mrt_history = json.loads((r.HERE / "data/refined_dfg/source_manifest_mrt.json").read_text())
+    assert mrt_history["commit"].startswith("3ea131e")
+    assert r.verify_source(r.DEFAULT_SOURCE, "MRT", "window")["commit"].startswith("a233c90")
+    with unittest.TestCase().assertRaisesRegex(RuntimeError, "Source mismatch"):
+        r.verify_source(r.DEFAULT_SOURCE, "MRT")
     with unittest.TestCase().assertRaisesRegex(RuntimeError, "Source mismatch"):
         r.verify_source(r.DEFAULT_SOURCE, "SRT")
 
@@ -139,17 +143,20 @@ def test_axis_specific_sampling_phase():
 
 def test_full_requires_completed_pilot():
     with unittest.TestCase().assertRaisesRegex(ValueError, "pilot-results"):
-        r.verify_pilot(None, r.verify_source(r.DEFAULT_SOURCE, "MRT"))
+        r.verify_pilot(None, r.verify_source(r.DEFAULT_SOURCE, "MRT", "window"))
 
 
-def pilot_fixture(path):
+def pilot_fixture(path, observation_mode="window"):
     """Synthetic contract fixture only; never a physical result or run receipt."""
-    manifest = r.verify_source(r.DEFAULT_SOURCE, "MRT")
+    manifest = (r.verify_source(r.DEFAULT_SOURCE, "MRT", "window")
+                if observation_mode == "window" else
+                json.loads((r.HERE / "data/refined_dfg/source_manifest_mrt.json").read_text()))
     (path / "plan.json").write_text(
         json.dumps(
             dict(
                 source_manifest=manifest,
                 collision="MRT",
+                observation_mode=observation_mode,
                 bounds_root_edge=list(r.BOUNDS),
                 runner_sha256=r.runner_hash(),
             )
@@ -183,6 +190,7 @@ def pilot_fixture(path):
                 dict(
                     case=case,
                     collision="MRT",
+                    observation_mode=observation_mode,
                     mode="pilot",
                     status="pilot_complete",
                     healthy=True,
@@ -199,6 +207,7 @@ def pilot_fixture(path):
                 dict(
                     case=case,
                     collision="MRT",
+                    observation_mode=observation_mode,
                     mode="pilot",
                     step=interval,
                     runner_sha256=r.runner_hash(),
@@ -215,7 +224,7 @@ def test_pilot_validation_and_calibration():
     with TemporaryDirectory() as tmp:
         path = Path(tmp)
         manifest = pilot_fixture(path)
-        assert r.verify_pilot(path, manifest, "MRT") == 3606.0
+        assert r.verify_pilot(path, manifest, "MRT", "window") == 3606.0
 
 
 def test_reject_malformed_pilot_receipts():
@@ -245,7 +254,7 @@ def test_reject_malformed_pilot_receipts():
             mutate(bad)
             receipt.write_text(json.dumps(bad))
             with unittest.TestCase().assertRaises(ValueError):
-                r.verify_pilot(path, manifest, "MRT")
+                r.verify_pilot(path, manifest, "MRT", "window")
         # Exact reviewer regression: previously accepted NaN endpoint.
         receipt.write_text(
             json.dumps(
@@ -257,11 +266,11 @@ def test_reject_malformed_pilot_receipts():
             )
         )
         with unittest.TestCase().assertRaises(ValueError):
-            r.verify_pilot(path, manifest, "MRT")
+            r.verify_pilot(path, manifest, "MRT", "window")
         receipt.write_text(json.dumps(valid))
         (path / "uniform/ready.json").write_text("{}")
         with unittest.TestCase().assertRaises(ValueError):
-            r.verify_pilot(path, manifest, "MRT")
+            r.verify_pilot(path, manifest, "MRT", "window")
 
 
 def test_strict_finite_json_and_deadline():
@@ -323,7 +332,7 @@ def test_reject_collision_receipts():
                     record["collision"] = invalid
                 receipt.write_text(json.dumps(record))
                 with unittest.TestCase().assertRaises(ValueError):
-                    r.verify_pilot(path, manifest, "MRT")
+                    r.verify_pilot(path, manifest, "MRT", "window")
 
 
 def test_record_actual_checkout_separately():
@@ -332,7 +341,114 @@ def test_record_actual_checkout_separately():
     actual = checkout_provenance(r.DEFAULT_SOURCE)
     assert len(actual["checkout_revision"]) == 40
     assert isinstance(actual["checkout_dirty"], bool)
-    assert r.verify_source(r.DEFAULT_SOURCE, "MRT")["production_origin_commit"].startswith("3ea131e")
+    assert r.verify_source(r.DEFAULT_SOURCE, "MRT", "window")["production_origin_commit"].startswith("d930")
+
+
+def test_window_plan_preserves_physics():
+    for collision in ("SRT", "MRT"):
+        baseline = r.plan(h, collision)
+        window = r.plan(h, collision, "window")
+        assert baseline.pop("observation_mode") == "last_base_step"
+        assert window.pop("observation_mode") == "window"
+        assert baseline == window
+        assert r.verify_source(r.DEFAULT_SOURCE, collision, "window")["observation_mode"] == "window"
+    with unittest.TestCase().assertRaises(ValueError):
+        r.verify_source(r.DEFAULT_SOURCE, "MRT", "unknown")
+
+
+def test_reject_observation_mode_receipts():
+    from tempfile import TemporaryDirectory
+
+    for mode, other in (("window", "last_base_step"), ("last_base_step", "window")):
+        with TemporaryDirectory() as tmp:
+            path = Path(tmp)
+            manifest = pilot_fixture(path, mode)
+            assert r.verify_pilot(path, manifest, "MRT", mode) == 3606.0
+            with unittest.TestCase().assertRaises(ValueError):
+                r.verify_pilot(path, manifest, "MRT", other)
+        for rel in ("plan.json", "uniform/summary.json", "refined/summary.json",
+                    "uniform/ready.json", "refined/ready.json"):
+            for invalid in (other, None):
+                with TemporaryDirectory() as tmp:
+                    path = Path(tmp)
+                    manifest = pilot_fixture(path, mode)
+                    receipt = path / rel
+                    record = json.loads(receipt.read_text())
+                    if invalid is None:
+                        record.pop("observation_mode")
+                    else:
+                        record["observation_mode"] = invalid
+                    receipt.write_text(json.dumps(record))
+                    with unittest.TestCase().assertRaises(ValueError):
+                        r.verify_pilot(path, manifest, "MRT", mode)
+
+
+class ExchangeFixture:
+    """Synthetic interval ledger for orchestration tests, not a solver or GPU result."""
+    def __init__(self):
+        self.step_count = 11
+        self.events = []
+        self.begin = None
+        self.override = {}
+
+    def start_exchange_window(self):
+        self.begin = self.step_count
+        self.events.append(("start", self.step_count))
+
+    def step(self, n):
+        self.events.append(("step", n))
+        self.step_count += n
+
+    def result(self, start, window):
+        from CelerisLab.lbm.raw_exchange import summarize_exchange
+
+        total = sum(range(start + 1, self.step_count + 1))
+        result = summarize_exchange([[total, -2*total, 0., 0.]], [0], [False],
+            body_id=0, level=1, h=.5, time_end=self.step_count, window=window,
+            reference_center=(80.5, 81.),
+            **({"duration": self.step_count-start} if window == "window" else {}))
+        result.update(self.override)
+        return result
+
+    def read_exchange_window(self, body_id, *, level):
+        assert body_id == 0 and level == 1
+        self.events.append(("read_window", self.step_count))
+        return self.result(self.begin, "window")
+
+    def read_raw_exchange(self, body_id, *, level, window):
+        assert body_id == 0 and level == 1 and window == "last_base_step"
+        self.events.append(("read_raw", self.step_count))
+        return self.result(self.step_count-1, window)
+
+
+def test_window_interval_impulse_sampling_and_units():
+    base, window = ExchangeFixture(), ExchangeFixture()
+    for n in (80, 2000, 3):  # Pilot/dense, early full, and final partial interval.
+        begin = base.step_count
+        a = r.advance_refined_interval(base, n, float("inf"), "last_base_step")
+        w = r.advance_refined_interval(window, n, float("inf"), "window")
+        np.testing.assert_array_equal(w, a)
+        expected = sum(range(begin+1, begin+n+1))
+        np.testing.assert_array_equal(w, [expected, -2*expected])
+        den = .5 * r.SPEED**2 * 40
+        np.testing.assert_array_equal(w/n/den, a/n/den)
+        assert window.step_count == base.step_count == begin+n
+        assert window.events[-3:] == [("start", begin), ("step", n), ("read_window", begin+n)]
+        assert (begin+n/2)*r.SPEED/40 == (window.step_count-n/2)*r.SPEED/40
+    assert not any(event[0] == "read_raw" for event in window.events)
+
+
+def test_window_contract_rejection():
+    for key, value in (("units", "local"), ("window", "last_base_step"),
+                       ("sample_count", 2), ("time_start", 0), ("time_end", 0), ("dt", 1.)):
+        backend = ExchangeFixture()
+        backend.override[key] = value
+        with unittest.TestCase().assertRaisesRegex(RuntimeError, "window force"):
+            r.advance_refined_interval(backend, 80, float("inf"), "window")
+    backend = ExchangeFixture()
+    with unittest.TestCase().assertRaises(TimeoutError):
+        r.advance_refined_interval(backend, 80, 0, "window")
+    assert not backend.events
 
 
 if __name__ == "__main__":

tests/unit/test_smagorinsky_normalization.py

@@ -0,0 +1,99 @@
+"""Direct-current-header regression; historical candidate manifests stay frozen."""
+
+import importlib.util
+from pathlib import Path
+import shutil
+import sys
+from tempfile import TemporaryDirectory
+import unittest
+
+ROOT = Path(__file__).resolve().parents[2]
+HELPERS = ROOT / "tests/validation/les"
+sys.path.insert(0, str(HELPERS))
+spec = importlib.util.spec_from_file_location(
+    "smagorinsky_oracle", HELPERS / "test_candidate.py"
+)
+oracle = importlib.util.module_from_spec(spec)
+spec.loader.exec_module(oracle)
+HEADER = Path("src/CelerisLab/lbm/kernels/operators/turbulence_smag.cuh")
+DESCRIPTORS = Path("src/CelerisLab/lbm/kernels/core/descriptors.cuh")
+
+
+class SmagorinskyNormalization(unittest.TestCase):
+    def test_current_header_matches_independent_tensor_oracle(self):
+        with TemporaryDirectory() as directory:
+            build_dir = Path(directory)
+            for dim in (2, 3):
+                for cs in (0.0, 0.16):
+                    # Compile directly against this checkout, not saved candidate headers.
+                    closed = oracle.build(
+                        ROOT.parent, ROOT.name, dim, cs, 1, 3, build_dir
+                    )
+                    converged = oracle.build(
+                        ROOT.parent, ROOT.name, dim, cs, 0, 200, build_dir
+                    )
+                    for rho in (0.7, 1.0, 1.3):
+                        for tau0 in (0.56, 0.8):
+                            for kind, magnitude in (
+                                ("equilibrium", 0.0),
+                                ("shear", -0.02),
+                                ("shear", 0.02),
+                                ("extension", -0.02),
+                                ("extension", 0.02),
+                            ):
+                                stress = oracle.tensor(
+                                    dim, kind, magnitude * rho, 0, dim - 1
+                                )
+                                f, eq = oracle.state(dim, rho, stress)
+                                expected = 1 / oracle.standard_tau(
+                                    tau0, cs, oracle.norm(stress), rho
+                                )
+                                with self.subTest(
+                                    dim=dim,
+                                    cs=cs,
+                                    rho=rho,
+                                    tau=tau0,
+                                    kind=kind,
+                                    sign=magnitude,
+                                ):
+                                    self.assertAlmostEqual(
+                                        closed(f, eq, rho, tau0), expected, delta=3e-6
+                                    )
+                                    self.assertAlmostEqual(
+                                        converged(f, eq, rho, tau0),
+                                        expected,
+                                        delta=3e-6,
+                                    )
+                    if cs == 0:
+                        f, eq = oracle.state(
+                            dim, 1.0, oracle.tensor(dim, "equilibrium", 0.0)
+                        )
+                        self.assertAlmostEqual(
+                            closed(f, eq, 1.0, 0.50001), 1.99, delta=3e-6
+                        )
+                        self.assertAlmostEqual(
+                            closed(f, eq, 1.0, 200.0), 0.01, delta=3e-6
+                        )
+
+    def test_removing_sqrt_two_is_detected(self):
+        with TemporaryDirectory() as directory:
+            root = Path(directory)
+            for relative in (HEADER, DESCRIPTORS):
+                target = root / "old_convention" / relative
+                target.parent.mkdir(parents=True, exist_ok=True)
+                shutil.copyfile(ROOT / relative, target)
+            target = root / "old_convention" / HEADER
+            text = target.read_text()
+            factor = "18.0f * sqrtf(2.0f) * smag_const_sq"
+            self.assertEqual(text.count(factor), 2)
+            target.write_text(text.replace(factor, "18.0f * smag_const_sq"))
+            for dim in (2, 3):
+                old = oracle.build(root, "old_convention", dim, 0.16, 1, 3, root)
+                stress = oracle.tensor(dim, "shear", 0.02)
+                f, eq = oracle.state(dim, 1.0, stress)
+                expected = 1 / oracle.standard_tau(0.8, 0.16, oracle.norm(stress), 1.0)
+                self.assertGreater(abs(old(f, eq, 1.0, 0.8) - expected), 1e-3)
+
+
+if __name__ == "__main__":
+    unittest.main()

tests/validation/data/les_flow/source_pins_a135252.json

@@ -0,0 +1,110 @@
+{
+  "base_commit": "a135252ae78b47b57d7e77d19001700b3bedac8b",
+  "production_origin_commit": "a135252ae78b47b57d7e77d19001700b3bedac8b",
+  "source_experiment": "Explicit a135252 uniform SRT LES regression. Sources pin the committed corrected tree; baseline is a synthetic isolated reverse-header control, not the committed a135252 source. Historical profiles and receipts remain unchanged.",
+  "sources": {
+    "src/CelerisLab/__init__.py": "21cc469bd6e970a1f9ff5970c8eea4602065e41fc881854759ee565ee55c10c6",
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+    "src/CelerisLab/body/action_smoother.py": "b1a23ee6bbd4850b172cb8738c5c3546ee465a54189e6af9d8044f023d4687dc",
+    "src/CelerisLab/body/coupling/__init__.py": "c931f7eb318d48408c3e2febcc6917c88c8dcc1697cbf4329b1f340d94c35763",
+    "src/CelerisLab/body/coupling/soa_packer.py": "8ec26fd55ef74801bbd5ab6bd3d0a7dabc750cbd498aaac2ca4c61a0108ad3c9",
+    "src/CelerisLab/body/ddf_patch.py": "60fcfb7441e73bf290bcff41ca3a83da3e7ddad765d7247464e8f02e3043b4e2",
+    "src/CelerisLab/body/geometry/__init__.py": "ada88980ab672959aca9aa3a4c4aade3219524b2ab68110cd2a2f41e3e0ca90a",
+    "src/CelerisLab/body/geometry/base.py": "cceca14361ca2f34d34a3e43730e1a79b8ca81be00f0dd62e884db32b479419f",
+    "src/CelerisLab/body/geometry/circle.py": "7605ca7c21103f1d801ac73ab8dd18dffbdac425b2dee7b8858b283628a9e436",
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+    "src/CelerisLab/body/objects.py": "8e63cee8faa9cc6243bcff428be628dfad73a02a9a3b8ece7d78c0a63406a08d",
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+    "src/CelerisLab/body/registry.py": "fbb7327780adbdc6da15ebdb799980daf32df22ee974af0893d7409f177bbb68",
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+    "src/CelerisLab/common/render.py": "0e055476257eb2bcd11e733766e52195de02f8fad228f570a3511a7c831bdc29",
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+    "src/CelerisLab/common/streakline/_config.py": "a9185ef68e9c7b5d5a1dc0b04a28341e2ad91d13c145a7c106636a878cf0a605",
+    "src/CelerisLab/common/streakline/_integrate.py": "3fbd4368b2c8d0e7fda40dc65aac5df02b085008b4c68acd83cb7ae45d33a13b",
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+    "src/CelerisLab/configs/CONFIG.md": "41cafdbe525366c08aa9d0416ea026ccf0026ba7123b8a9b65f968a80d928e3a",
+    "src/CelerisLab/configs/config_body.json": "055f261f0828ca1d4f2bb694bd15b72bbcabe31d552326208f28e37f761adab1",
+    "src/CelerisLab/configs/config_lbm.json": "17e4311f1f250c6ece59177a8b6ff856b69a016c7c10267e774b030a0a390865",
+    "src/CelerisLab/configs/config_lbm_flume_mrt_zouhe.json": "8f593321db05a563a42931603a228d61cbcba06dfbe113262d5cd0ad93c0fe79",
+    "src/CelerisLab/configs/config_lbm_flume_trt_regularized.json": "f4bba8e6a4339fc3c4eb14f6e2f57c4b22993c73703c773d853edfbe34736e56",
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+    "src/CelerisLab/lbm/kernels/core/params.cuh": "6e18bf730d936d940e3d85452f0714a2eaae31bf41002f9fd520ec5b372878dd",
+    "src/CelerisLab/lbm/kernels/core/precision.cuh": "849df14b4cce50af52399e4b8f3e997196f3ae5f1163f68e28df3e6b2507a8c4",
+    "src/CelerisLab/lbm/kernels/kernel_v2.cu": "c7bd3fb705b77261ba2441c52a24a7e6a7865c165cba088a1b75201c4d29c408",
+    "src/CelerisLab/lbm/kernels/operators/collision_mrt.cuh": "aee444eb60c47a3fd518dca975d1af05425a0818a0ec6c3fb3f6150f60c2cb44",
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+    "src/CelerisLab/lbm/kernels/step/aux_kernels.cu": "578a5b20a157241ee678547059abb1372dd5a589ad06bb2c15b987eb01ca1013",
+    "src/CelerisLab/lbm/kernels/step/block_channel.cu": "ee8a31398b8e5233d977c816e6b8e060c1eb2ec71320e594226dbca55593c0d0",
+    "src/CelerisLab/lbm/kernels/step/curved_double.cu": "bfa7a1df1e939020314d49755045f7a85fe4a19cc1c68dbe62653c66c5e7c2b3",
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+    "src/CelerisLab/lbm/kernels/step/esopull_sync.cu": "c0ff3e72900c3ab89a05dd03684e96d3b740cf1672d565727fc2af165933d087",
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tests/validation/data/les_flow/source_pins_dev8403956.json

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tests/validation/data/refined_dfg/source_manifest_window.json

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+    "src/CelerisLab/lbm/stepper.py": "0dcb7cd7ae87e33e3dc67a38b6aa43042fbe673e37d9ad165342ee1d695933ce",
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+    "src/CelerisLab/simulation.py": "0a03904dc6de88667d7af699005a289adf8b09f0976cb0d099b041f4830a8f4c",
+    "tests/validation/data/dfg_re100/reference_cycle.json": "073d1bda1629697efebad95667bfe80598e217d708dbffd7d5f6c6999379c55f",
+    "tests/validation/periodic.py": "a2212c0e2705126327a5019e9cafe64eeca398da1b75061ff23630c9843697a6",
+    "tests/validation/re100_helpers.py": "289c6e01075ff361573f862b90cfd61e5980c9a8efcbc78aef69979b4004fd60",
+    "tests/validation/source_provenance.py": "6dfe8f2d819dba0e240ba761d31162a5033685d492d09db75eb2b8aaab3a5a4c"
+  }
+}

tests/validation/multigrid/check_projected_pairs.py

@@ -0,0 +1,425 @@
+"""Bounded exact-source CUDA plumbing gate; never a flow-accuracy certificate.
+
+Run this driver externally against exact dev with --mode baseline first, then
+against the experimental source with --mode candidate --baseline <receipt>.
+Only scalar receipts/hashes and actual compiler sidecars are retained. Whole-step
+mass/momentum are diagnostics: no verified FP32 conservation bound is claimed.
+"""
+import argparse
+from contextlib import contextmanager
+from dataclasses import replace
+import hashlib
+import json
+import os
+import shutil
+from pathlib import Path
+import subprocess
+import sys
+
+import numpy as np
+
+BASE = 'ed9d8c937d446b854d6963bd92d718bb4fb98b96'
+PRODUCTION = 'a135252ae78b47b57d7e77d19001700b3bedac8b'
+STOPS = (0, 1, 2, 8)
+OPERATOR_ATOL, OPERATOR_RTOL = 6e-8, 2e-7
+REST_ATOL, REST_RTOL = 3e-7, 1e-6
+REPLAY_ATOL = 3e-6
+E = np.array([(0,0),(1,0),(-1,0),(0,1),(0,-1),(1,1),(-1,-1),(1,-1),(-1,1)])
+W = np.array([4/9]+[1/9]*4+[1/36]*4)
+
+
+def digest(array):
+    """All finite bits (including signed zero) and exact NaN mask; no NaN payloads."""
+    array = np.asarray(array)
+    if np.isinf(array).any():
+        raise AssertionError('infinite population')
+    finite = np.isfinite(array)
+    h = hashlib.sha256()
+    h.update(str((array.shape, array.dtype.str)).encode())
+    h.update(np.ascontiguousarray(finite).tobytes())
+    h.update(np.ascontiguousarray(array[finite]).tobytes())
+    return h.hexdigest()
+
+
+def independent_explosion(coarse, pair, layout, kind):
+    """Coordinate oracle; never reads the production neighbor/offset tables."""
+    ny, nx = pair.coarse_shape
+    legal = np.zeros((ny,nx), bool)
+    legal.ravel()[pair.ghost_coarse] = True
+    legal &= layout.owned & ~pair.covered & (kind == 0)
+    if not legal.ravel()[pair.ghost_coarse].all():
+        raise AssertionError('illegal center donor')
+    out = np.empty((9,len(pair.ghost_fine)))
+    flat = np.asarray(coarse, np.float64).reshape(9,-1)
+    for row, (target, donor) in enumerate(zip(pair.ghost_fine,pair.ghost_coarse)):
+        y,x = divmod(int(donor),nx)
+        gradient = np.zeros((9,2))
+        for axis, (dx,dy) in enumerate(((1,0),(0,1))):
+            ends = [(x-dx,y-dy),(x+dx,y+dy)]
+            if not layout.periodic[axis] and any(not (0<=xx<nx and 0<=yy<ny) for xx,yy in ends):
+                continue
+            ends = [(xx%nx,yy%ny) for xx,yy in ends]
+            if all(legal[yy,xx] for xx,yy in ends):
+                (xm,ym),(xp,yp) = ends
+                gradient[:,axis] = (flat[:,yp*nx+xp]-flat[:,ym*nx+xm])/2
+        for q in range(1,9):
+            gradient[q] -= E[q]*np.dot(E[q],gradient[q])/np.dot(E[q],E[q])
+        fy,fx = divmod(int(target),pair.fine_shape[1])
+        offset = np.array([pair.fine_origin[0]+(fx+.5)/2-(x+.5),
+                           pair.fine_origin[1]+(fy+.5)/2-(y+.5)])
+        out[:,row] = flat[:,int(donor)] + gradient@offset
+    return out
+
+
+def default_options(selector):
+    # Exact dev has no explosion keyword. Baseline and omitted paths pass none.
+    return {} if selector == 'omitted' else {'explosion':selector}
+
+
+def snapshot(run, raw):
+    from CelerisLab.lbm.refinement import ACTIVE, OUTER_GHOST
+    stored, public = raw(run), run.download()
+    hashes, totals = [], np.zeros(3)
+    for level,(values,visible,kind) in enumerate(zip(stored,public,run.hierarchy.kinds)):
+        active = kind == ACTIVE
+        if not np.isfinite(visible[:,active]).all() or not np.isnan(visible[:,~active]).all():
+            raise AssertionError('public ACTIVE/invalid mask mismatch')
+        if not np.isnan(values[:,kind==OUTER_GHOST]).all():
+            raise AssertionError('OUTER owner core is not poisoned')
+        population = visible[:,active].sum(axis=1,dtype=np.float64)*(.25**level)
+        totals += np.r_[population.sum(), E.T@population]
+        hashes.append(dict(raw=digest(values), public=digest(visible), active=int(active.sum())))
+    if not np.isfinite(totals).all():
+        raise AssertionError('nonfinite mass/momentum diagnostic')
+    return dict(step=run.step_count, levels=hashes, mass_momentum=totals.tolist())
+
+
+def initialize(run, rest=False):
+    arrays, origin, spacing = [], np.zeros(2), 1.
+    for index,level in enumerate(run._levels):
+        if index:
+            origin += spacing*np.asarray(run.hierarchy.pairs[index-1].fine_origin)
+            spacing /= 2
+        y,x = np.indices(level.shape[1:],dtype=np.float64)
+        x,y = origin[0]+spacing*(x+.5),origin[1]+spacing*(y+.5)
+        q = np.arange(9)[:,None,None]
+        values = np.broadcast_to(W[:,None,None],level.shape).copy()
+        if not rest:
+            # q-distinct smooth non-equilibrium G; same physical frame on all levels.
+            values += 1e-4*np.sin(.17*x+.23*y+q)
+        arrays.append(values)
+    run.initialize(*arrays)
+
+
+def operator_case(run, index):
+    import pycuda.driver as cuda
+    parent,child = run._levels[index:index+2]
+    geometry,pair = run.hierarchy.pairs[index],run._pairs[index]
+    c = np.random.default_rng(19+index).normal(0,.001,(9,*geometry.coarse_shape))
+    if not run._ddf_shifting:
+        c += W[:,None,None]
+    c = c.astype(np.float32)
+    legal = np.zeros(geometry.coarse_shape,bool)
+    legal.ravel()[geometry.ghost_coarse] = True
+    c[:,~legal] = np.nan
+    packed = parent.layout.to_blocked(c)
+    output = np.full(child.layout.blocked_shape,np.nan,np.float32)
+    cuda.memcpy_htod(parent.current,packed)
+    cuda.memcpy_htod(child.current,output)
+    calls, hop = [],run._hop
+    try:
+        run._hop = lambda *a,**kw: calls.append(a)
+        run._advance(index+1,parent.current,block=run._block,stream=run._stream)
+        run._stream.synchronize()
+    finally:
+        run._hop = hop
+    if calls != [(index+1,child.current,child.spare),(index+1,child.spare,child.current)]:
+        raise AssertionError('explosion changed two-hop launch contract')
+    cuda.memcpy_dtoh(output,child.current)
+    target = child.layout.owner.ravel()[geometry.ghost_fine]
+    slots = np.array([child.layout.slot(target,q) for q in range(9)])
+    actual = output.ravel()[slots]
+    expected = independent_explosion(c,geometry,parent.layout,run.hierarchy.kinds[index])
+    constant = c.reshape(9,-1)[:,geometry.ghost_coarse]
+    if not np.isfinite(actual).all() or np.max(abs(expected-constant)) <= 1e-5:
+        raise AssertionError('operator must exercise finite nonzero projected slopes')
+    np.testing.assert_allclose(actual,expected,atol=OPERATOR_ATOL,rtol=OPERATOR_RTOL)
+    untouched = np.ones(output.size,bool); untouched[slots.ravel()] = False
+    if not np.isnan(output.ravel()[untouched]).all():
+        raise AssertionError('explosion wrote outside its targets')
+    return dict(pair=index,rows=len(target),parent_stride=pair.parent_cells,
+                child_stride=int(np.prod(child.layout.local_shape)),
+                max_error_by_q=np.max(abs(actual-expected),axis=1).tolist(),
+                nonzero_projection=True,poisoned_nondonors=True,untouched_preserved=True)
+
+
+def replay_two_hops(values, pair, layout, kind):
+    """Existing FP64 two-hop algebra, using the independent coordinate oracle."""
+    from tests.unit.test_projected_explosion import collide
+    coarse,fine = (a.copy() for a in values)
+    fine.reshape(9,-1)[:,pair.ghost_fine] = independent_explosion(coarse,pair,layout,kind)
+    for _ in range(2):
+        fine = np.array([np.roll(fine[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(E)])
+        fine[:,pair.fine_kind==2] = np.nan
+        active = pair.fine_kind==0
+        fine[:,active] = collide(fine[:,active],pair.tau_fine)
+    out = np.array([np.roll(coarse[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(E)])
+    out.reshape(-1)[pair.coalesce_coarse] = fine.reshape(-1)[pair.coalesce_fine].mean(axis=1)
+    out[:,~pair.covered] = collide(out[:,~pair.covered],pair.tau_coarse)
+    out[:,pair.covered] = np.nan
+    return out,fine
+
+
+def run_case(ctx, case, shifted, selector, raw, projected=False, replay=False):
+    from CelerisLab.lbm.refinement_stepper import FixedPatchStepper
+    cfg,refs,blocks = case
+    cfg = replace(cfg,velocity=0,ddf_shifting=shifted)
+    with FixedPatchStepper(cfg,context=ctx,refinements=refs,level_blocks=blocks,
+                           **default_options(selector)) as run:
+        operator = [operator_case(run,i) for i in range(len(run._pairs))] if projected else []
+        counts = [0]*len(run._levels)
+        for index,level in enumerate(run._levels):
+            def counted(*a, index=index, kernel=level.kernel, **kw):
+                counts[index] += 1
+                return kernel(*a,**kw)
+            level.kernel = counted
+        def check_counts(stop):
+            if counts != [stop*2**index for index in range(len(counts))]:
+                raise AssertionError('actual level hop counts differ from acoustic schedule')
+        rest = []
+        if projected:
+            initialize(run,rest=True)
+            for stop in STOPS:
+                run.step(stop-run.step_count)
+                check_counts(stop)
+                snapshot(run,raw)  # actual public and raw invalid masks at every stop
+                maximum = 0.
+                for values,kind in zip(run.download(),run.hierarchy.kinds):
+                    active = values[:,kind==0]
+                    np.testing.assert_allclose(active,np.broadcast_to(W[:,None],active.shape),
+                                               atol=REST_ATOL,rtol=REST_RTOL)
+                    maximum = max(maximum,float(np.max(abs(active-W[:,None]))))
+                rest.append(dict(step=stop,max_absolute_error=maximum))
+        counts[:] = [0]*len(counts)
+        initialize(run)
+        reference = tuple(a.astype(np.float64) for a in run.download()) if replay else None
+        snapshots,replay_errors,previous = [],[],0
+        for stop in STOPS:
+            run.step(stop-run.step_count)
+            if replay:
+                for _ in range(stop-previous):
+                    reference = replay_two_hops(reference,run.hierarchy.pairs[0],
+                                               run._levels[0].layout,run.hierarchy.kinds[0])
+                errors = []
+                for actual,expected,kind in zip(run.download(),reference,run.hierarchy.kinds):
+                    np.testing.assert_allclose(actual[:,kind==0],expected[:,kind==0],
+                                               atol=REPLAY_ATOL,rtol=0)
+                    errors.append(np.max(abs(actual[:,kind==0]-expected[:,kind==0]),axis=1).tolist())
+                replay_errors.append(dict(step=stop,max_error_by_level_q=errors))
+            check_counts(stop)
+            snapshots.append(dict(snapshot(run,raw),observed_level_hops=counts.copy())); previous = stop
+        change = (np.array(snapshots[-1]['mass_momentum'])-
+                  np.array(snapshots[0]['mass_momentum'])).tolist()
+        return dict(operator=operator,snapshots=snapshots,rest_fixed_point=rest,
+                    replay_max_errors=replay_errors,mass_momentum_change_diagnostic=change,
+                    conservation_status='diagnostic_only_no_FP32_bound')
+
+
+def compare_snapshots(actual,expected):
+    if len(actual) != len(expected):
+        raise AssertionError('snapshot count differs')
+    for got,want in zip(actual,expected):
+        if (got['step'] != want['step'] or got['levels'] != want['levels']
+                or got.get('observed_level_hops') != want.get('observed_level_hops')):
+            raise AssertionError('owner bits, public values or masks differ')
+
+
+def cases():
+    from CelerisLab.config import LBMConfig
+    from tests.unit.test_hierarchy import CFG, FOUR
+    scalar = (LBMConfig(nx=16,ny=16,viscosity=.02),
+              [(4,4,12,12),(8,8,16,16),(8,8,16,16)],
+              [(4,4),(4,8),(6,4),(4,6)])
+    four = (CFG,FOUR,[(6,8),(8,6),(12,8),(16,12)])
+    concave = (LBMConfig(nx=30,ny=30,viscosity=.1),
+               [[(4,4,5,7),(4,5,7,7)]],[(6,5),(4,6)])
+    return dict(scalar=scalar,four=four,concave=concave)
+
+
+def baseline_receipt(receipt, driver_hash, keys):
+    if (receipt.get('completed') is not True or receipt.get('dry_run') is not False
+            or receipt.get('mode') != 'baseline' or receipt.get('production_revision') != BASE
+            or receipt.get('source',{}).get('revision') != BASE
+            or receipt.get('source',{}).get('dirty') is not False
+            or receipt.get('driver_sha256') != driver_hash
+            or receipt.get('stops') != list(STOPS)
+            or receipt.get('operator_tolerance') != [OPERATOR_ATOL,OPERATOR_RTOL]
+            or receipt.get('rest_tolerance') != [REST_ATOL,REST_RTOL]
+            or receipt.get('replay_tolerance') != [REPLAY_ATOL,0]
+            or set(receipt.get('default_snapshots',{})) != set(keys)
+            or not receipt.get('actual_build_sidecars')):
+        raise ValueError('baseline receipt does not match the frozen exact-dev gate')
+    return receipt
+
+
+def remap_case(ctx, shifted, raw):
+    from CelerisLab.lbm.refinement_stepper import FixedPatchStepper
+    cfg,refs,blocks = cases()['four']
+    with FixedPatchStepper(replace(cfg,velocity=0,ddf_shifting=shifted),context=ctx,
+            refinements=refs[:2],level_blocks=blocks[:3],explosion='projected_linear') as run:
+        initialize(run); run.step(1)
+        before = snapshot(run,raw)
+        with run.remap_child([(22,22,42,42),(72,68,76,76)]) as clone:
+            if clone._explosion != 'projected_linear' or any(p.neighbors is None for p in clone._pairs):
+                raise AssertionError('remap lost projected selection')
+            if clone.step_count != 1: raise AssertionError('remap lost synchronized count')
+            initial = snapshot(clone,raw)
+            clone.step(1)
+            after = snapshot(clone,raw)
+            if clone.step_count != 2: raise AssertionError('remap did not continue count')
+        compare_snapshots([snapshot(run,raw)],[before])
+        return dict(shifted=shifted,source_unchanged=True,initial=initial,continued=after)
+
+
+@contextmanager
+def capture_builds(report, save, baseline=None):
+    from CelerisLab.cuda import compiler_v2 as compiler
+    original = compiler.load_module
+    def load(path):
+        path = Path(path)
+        metadata = json.loads(Path(str(path)+'.json').read_text())
+        if metadata['ptx_sha256'] != hashlib.sha256(path.read_bytes()).hexdigest():
+            raise AssertionError('actual PTX and build sidecar disagree')
+        if baseline and (metadata['arch'],metadata['flags']) not in [
+                (m['arch'],m['flags']) for m in baseline['actual_build_sidecars']]:
+            raise AssertionError('baseline build architecture or flags differ')
+        report['actual_build_sidecars'].append(metadata)
+        save()  # capture AMR metadata before production cleanup removes scratch
+        return original(str(path))
+    compiler.load_module = load
+    try:
+        yield
+    finally:
+        compiler.load_module = original
+
+
+def preflight(repo, revision, mode):
+    git = lambda *a: subprocess.check_output(['git','-C',str(repo),*a],text=True).strip()
+    if git('rev-parse','HEAD') != revision or git('status','--porcelain'):
+        raise ValueError('requires the exact expected clean checkout')
+    source = BASE if mode == 'baseline' else PRODUCTION
+    if mode == 'baseline' and revision != BASE:
+        raise ValueError('baseline must be exact ed9d8c9')
+    if subprocess.call(['git','-C',str(repo),'diff','--quiet',source,'--','src']):
+        raise ValueError('production source differs from the frozen source revision')
+    return source
+
+
+def main():
+    parser = argparse.ArgumentParser(description=__doc__)
+    parser.add_argument('--repo',type=Path,required=True)
+    parser.add_argument('--expected-revision',required=True)
+    parser.add_argument('--mode',choices=('baseline','candidate'),required=True)
+    parser.add_argument('--baseline',type=Path)
+    parser.add_argument('--output',type=Path,required=True)
+    parser.add_argument('--run-gpu',action='store_true')
+    parser.add_argument('--dry-run',action='store_true')
+    args = parser.parse_args()
+    if args.output.exists(): parser.error('output already exists')
+    selected = os.environ.get('CUDA_VISIBLE_DEVICES','')
+    if not args.dry_run and (not args.run_gpu or not selected or ',' in selected or selected=='-1'):
+        parser.error('--run-gpu and exactly one explicit CUDA_VISIBLE_DEVICES are required')
+    repo = args.repo.resolve()
+    source = preflight(repo,args.expected_revision,args.mode)
+    baseline = None
+    if args.mode == 'candidate':
+        if args.baseline is None: parser.error('candidate requires --baseline receipt')
+        baseline = json.loads(args.baseline.read_text())
+    sys.path[:0] = [str(repo/'src'),str(repo),str(repo/'tests/validation/multigrid'),
+                   str(repo/'tests/validation/taylor_green')]
+    import CelerisLab
+    if Path(CelerisLab.__file__).resolve() != repo/'src/CelerisLab/__init__.py':
+        raise RuntimeError('wrong imported checkout')
+    from run_case import provenance
+    driver_hash = hashlib.sha256(Path(__file__).read_bytes()).hexdigest()
+    keys = [f'{name}:shifted={shifted}' for name in cases() for shifted in (False,True)]
+    if baseline is not None: baseline_receipt(baseline,driver_hash,keys)
+    report = dict(mode=args.mode,production_revision=source,source=provenance(repo),
+                  driver_sha256=driver_hash,
+                  device_selection=selected,completed=False,dry_run=args.dry_run,
+                  operator_tolerance=[OPERATOR_ATOL,OPERATOR_RTOL],
+                  rest_tolerance=[REST_ATOL,REST_RTOL],replay_tolerance=[REPLAY_ATOL,0],stops=STOPS,
+                  conservation_status='diagnostic_only_no_FP32_bound',
+                  actual_build_sidecars=[],default_snapshots={},default_equivalence=[],
+                  projected_operator=[],union_multilevel_smoke=[],changed_remap=[])
+    args.output.parent.mkdir(parents=True,exist_ok=True)
+    def save():
+        text = json.dumps(report,indent=2,allow_nan=False)+'\n'
+        if len(text.encode()) > 8*1024*1024: raise RuntimeError('receipt exceeds 8 MiB cap')
+        temporary = args.output.with_suffix(args.output.suffix+'.tmp')
+        temporary.write_text(text); os.replace(temporary,args.output)
+    save()
+    if args.dry_run:
+        print('Source preflight only; no CUDA imports or execution.'); return
+    try:
+        from CelerisLab.cuda.context import CudaContext
+        from test_refinement_blocked_base import raw
+        with CudaContext(0) as ctx, capture_builds(report,save,baseline):
+            import pycuda.driver as cuda
+            report['device'] = dict(name=ctx.device.name(),pci_bus_id=ctx.device.pci_bus_id(),
+                                    capability=list(ctx.device.compute_capability()),
+                                    driver=cuda.get_driver_version(),runtime=list(cuda.get_version()))
+            nvcc = shutil.which('nvcc') or '/usr/local/cuda/bin/nvcc'
+            report['nvcc_version'] = subprocess.check_output([nvcc,'--version'],text=True).strip()
+            if baseline and (report['device'] != baseline.get('device')
+                             or report['nvcc_version'] != baseline.get('nvcc_version')
+                             or selected != baseline.get('device_selection')):
+                raise ValueError('baseline GPU/device selection or toolchain differs')
+            for name,case in cases().items():
+                for shifted in (False,True):
+                    key = f'{name}:shifted={shifted}'
+                    report['active_case'] = f'default:{key}'
+                    result = run_case(ctx,case,shifted,'omitted',raw)
+                    report['default_snapshots'][key] = result['snapshots']
+                    if baseline:
+                        compare_snapshots(result['snapshots'],baseline['default_snapshots'][key])
+                        explicit = run_case(ctx,case,shifted,'constant',raw)
+                        compare_snapshots(explicit['snapshots'],result['snapshots'])
+                        report['default_equivalence'].append(dict(case=key,passed=True))
+                    save()
+            if baseline:
+                for name,case in cases().items():
+                    for shifted in (False,True):
+                        report['active_case'] = f'projected:{name}:shifted={shifted}'
+                        result = run_case(ctx,case,shifted,'projected_linear',raw,True,name=='concave')
+                        cfg,refs,blocks = case
+                        if name == 'four':
+                            variant_refs = [list(reversed(rects)) for rects in refs]
+                        elif name == 'concave':
+                            variant_refs = [[(4,5,7,7),(4,4,5,5)]]  # same union, disjoint decomposition
+                        else:
+                            variant_refs = refs
+                        variant = (cfg,variant_refs,[(2,2)]*len(blocks))
+                        alternate = run_case(ctx,variant,shifted,'projected_linear',raw,True)
+                        compare_snapshots(alternate['snapshots'],result['snapshots'])
+                        report['projected_operator'].append(dict(case=name,shifted=shifted,rows=result['operator']))
+                        report['union_multilevel_smoke'].append(dict(case=name,shifted=shifted,result=result,
+                                                                   alternate_bits_identical=True))
+                        save()
+                for shifted in (False,True):
+                    report['active_case'] = f'changed-remap:shifted={shifted}'
+                    report['changed_remap'].append(remap_case(ctx,shifted,raw)); save()
+                expected_builds = {(s['arch'],tuple(s['flags'])) for s in baseline['actual_build_sidecars']}
+                actual_builds = {(s['arch'],tuple(s['flags'])) for s in report['actual_build_sidecars']}
+                if actual_builds != expected_builds:
+                    raise AssertionError('baseline build architecture or compiler flags differ')
+            report['completed'] = True
+            save()
+    except Exception as error:
+        report['error'] = f'{type(error).__name__}: {error}'
+        save(); raise
+    print(json.dumps(dict(completed=True,mode=args.mode,receipt=str(args.output))))
+
+
+if __name__ == '__main__':
+    main()

tests/validation/multigrid/test_refinement_gpu.py

@@ -7,6 +7,7 @@ At most eight coarse steps per case. No files, plots or flow arrays are saved.
 import hashlib
 import importlib.util
 from contextlib import nullcontext
+from dataclasses import replace
 from pathlib import Path
 import resource
 import sys
@@ -21,7 +22,7 @@ import CelerisLab
 from CelerisLab.config import LBMConfig
 from CelerisLab.cuda import compiler_v2 as compiler
 from CelerisLab.cuda.context import CudaContext
-from CelerisLab.lbm.refinement_stepper import PeriodicPatchStepper
+from CelerisLab.lbm.refinement_stepper import FixedPatchStepper, PeriodicPatchStepper
 
 ROOT = Path(__file__).resolve().parents[3]
 POP_ATOL = 3e-6
@@ -60,6 +61,69 @@ def global_array(module, name, shape):
 
 
 class CoupledGPU(unittest.TestCase):
+    def test_actual_tg_rates_one_interval(self):
+        """Algebraic rate/phase check, not a new physical Taylor--Green benchmark.
+
+        The N64/Re100 TG rates are exercised on the existing small patch with
+        a nonequilibrium state. One interval checks g=C(f), including the
+        shifted blocked path; no accuracy gate or production source changes.
+        """
+        self.assertEqual(Path(CelerisLab.__file__).resolve(), ROOT / "src/CelerisLab/__init__.py")
+        self.assertEqual(Path(compiler._KERNEL_DIR).resolve(), ROOT / "src/CelerisLab/lbm/kernels")
+        spec = replace(ref.make_spec(collision="srt"),
+                       tau_coarse=.5576, tau_fine=.6152)
+        maps = ref.build_maps(spec)
+        state = ref.make_state(spec, velocity=(.03, -.02))
+        rng = np.random.default_rng(1)
+        state = ref.State(*(a * (1 + 1e-3 * rng.standard_normal(a.shape))
+                            for a in (state.coarse_f, state.fine_f)))
+        initial = postcollision(state, spec, maps)
+        next_state, _ = ref.advance_coarse_once(spec, maps, state)
+        expected = postcollision(next_state, spec, maps)
+        arrivals = (next_state.coarse_f, next_state.fine_f)
+
+        cases = (("dense_unshifted", False, {}),
+                 ("blocked_shifted", True,
+                  dict(base_block=(4, 4), fine_block=(6, 6))))
+        with CudaContext(0) as context:
+            for label, shifted, storage in cases:
+                with self.subTest(storage=label):
+                    cfg = LBMConfig(nx=16, ny=16, viscosity=.0192,
+                                    ddf_shifting=shifted)
+                    with FixedPatchStepper(cfg, (4, 4, 12, 12), context=context,
+                                           **storage) as backend:
+                        self.assertAlmostEqual(backend.patch.tau_coarse, spec.tau_coarse)
+                        self.assertAlmostEqual(backend.patch.tau_fine, spec.tau_fine)
+                        self.assertEqual(tuple(level.shape for level in backend._levels),
+                                         ((9, 16, 16), (9, 24, 24)))
+                        # Physical FP64 g is encoded by initialize before FP32 rounding.
+                        backend.initialize(*initial)
+                        before = totals(backend.download(), maps)
+                        backend.step(1)
+                        actual = backend.download()
+                        self.assertEqual(backend.step_count, 1)
+                        backend.patch.check_synchronization(
+                            1, next_state.tick, phase="postcollision_g")
+                        for got, want, arrival in zip(actual, expected, arrivals):
+                            np.testing.assert_array_equal(np.isnan(got), np.isnan(want))
+                            np.testing.assert_allclose(got, want, rtol=0, atol=POP_ATOL,
+                                                       equal_nan=True)
+                            # A raw arrival-f comparison must fail on BOTH levels.
+                            # Equilibrium-only data would make this control vacuous.
+                            with self.assertRaises(AssertionError):
+                                np.testing.assert_allclose(got, arrival, rtol=0,
+                                                           atol=POP_ATOL, equal_nan=True)
+                        np.testing.assert_allclose(totals(actual, maps), before,
+                                                   rtol=0, atol=MOMENT_ATOL)
+                        np.testing.assert_allclose(totals(actual, maps),
+                                                   totals(expected, maps),
+                                                   rtol=0, atol=MOMENT_ATOL)
+                        error = max(float(np.nanmax(np.abs(a - e)))
+                                    for a, e in zip(actual, expected))
+                        print(f"actual-TG-rate algebraic check: {label} steps=1 "
+                              f"tau=.5576/.6152 max_population={error:.9g}; "
+                              "wrong-phase controls PASS", flush=True)
+
     def test_cleanup_attempts_every_allocation(self):
         backend = PeriodicPatchStepper.__new__(PeriodicPatchStepper)
         backend.ctx = Mock(activate=nullcontext)

tests/validation/run_refined_dfg.py

@@ -45,7 +45,7 @@ def config(h, diameter, collision="SRT"):
     return cfg, body, p
 
 
-def plan(h, collision="SRT"):
+def plan(h, collision="SRT", observation_mode="last_base_step"):
     _, _, c = config(h, 40, collision)
     _, _, f = config(h, 80, collision)
     x0, y0, x1, y1 = BOUNDS
@@ -54,6 +54,7 @@ def plan(h, collision="SRT"):
     return dict(
         status="prepared_not_run",
         collision=collision,
+        observation_mode=observation_mode,
         root_gpu_gates_required=True,
         root=c,
         uniform=f,
@@ -156,10 +157,13 @@ def host_geometry(source, h, collision="SRT"):
     return cfg, pair, body, host
 
 
-def verify_source(source, collision="SRT"):
+def verify_source(source, collision="SRT", observation_mode="last_base_step"):
     if collision not in ("SRT", "MRT"):
         raise ValueError("Matched collision must be SRT or MRT")
-    name = "source_manifest.json" if collision == "SRT" else "source_manifest_mrt.json"
+    if observation_mode not in ("last_base_step", "window"):
+        raise ValueError("Unknown refined observation mode")
+    name = ("source_manifest_window.json" if observation_mode == "window" else
+            "source_manifest.json" if collision == "SRT" else "source_manifest_mrt.json")
     expected = json.loads((HERE / "data/refined_dfg" / name).read_text())
     for name, digest in expected["sha256"].items():
         if hashlib.sha256((source / name).read_bytes()).hexdigest() != digest:
@@ -167,6 +171,46 @@ def verify_source(source, collision="SRT"):
     return expected
 
 
+def advance_refined_interval(backend, n, deadline, observation_mode):
+    """Return the same root-unit interval impulse, never an already averaged force."""
+    impulse = np.zeros(2)
+    if observation_mode == "window":
+        begin = backend.step_count
+        check_deadline(deadline)
+        backend.start_exchange_window()
+        backend.step(n)
+        exchange = backend.read_exchange_window(0, level=1)
+        if (
+            exchange["units"] != "base_lattice_per_unit_depth"
+            or exchange["window"] != "window"
+            or exchange["sample_count"] != 2 * n
+            or exchange["time_start"] != begin
+            or exchange["time_end"] != begin + n
+            or exchange["dt"] != 0.5
+        ):
+            raise RuntimeError("Unexpected window force observation contract")
+        impulse += exchange["total"]["impulse"]
+        check_deadline(deadline)
+        return impulse
+    if observation_mode != "last_base_step":
+        raise ValueError("Unknown refined observation mode")
+    for _ in range(n):
+        check_deadline(deadline)
+        backend.step(1)
+        exchange = backend.read_raw_exchange(
+            0, level=1, window="last_base_step"
+        )
+        if (
+            exchange["units"] != "base_lattice_per_unit_depth"
+            or exchange["sample_count"] != 2
+            or exchange["time_end"] - exchange["time_start"] != 1
+        ):
+            raise RuntimeError("Unexpected force observation contract")
+        impulse += exchange["total"]["impulse"]
+        check_deadline(deadline)
+    return impulse
+
+
 def run_case(a, h, periodic, case):
     from CelerisLab.simulation import Simulation
     from CelerisLab.cuda.context import CudaContext
@@ -199,6 +243,7 @@ def run_case(a, h, periodic, case):
                     fine_block=FINE_BLOCK,
                     fine_objects=(body,),
                     observe_raw_exchange=True,
+                    **({"observe_window_exchange": True} if a.observation_mode == "window" else {}),
                 )
             )
             from CelerisLab.lbm.channel import channel_masks
@@ -248,20 +293,9 @@ def run_case(a, h, periodic, case):
                 impulse = np.zeros(2)
                 tick = time.monotonic()
                 if refined:
-                    for _ in range(n):
-                        check_deadline(a.deadline)
-                        backend.step(1)
-                        exchange = backend.read_raw_exchange(
-                            0, level=1, window="last_base_step"
-                        )
-                        if (
-                            exchange["units"] != "base_lattice_per_unit_depth"
-                            or exchange["sample_count"] != 2
-                            or exchange["time_end"] - exchange["time_start"] != 1
-                        ):
-                            raise RuntimeError("Unexpected force observation contract")
-                        impulse += exchange["total"]["impulse"]
-                        check_deadline(a.deadline)
+                    impulse = advance_refined_interval(
+                        backend, n, a.deadline, a.observation_mode
+                    )
                 else:
                     done = 0
                     while done < n:
@@ -345,6 +379,7 @@ def run_case(a, h, periodic, case):
                     ready = dict(
                         case=case,
                         collision=a.collision,
+                        observation_mode=a.observation_mode,
                         **a.provenance,
                         mode=a.mode,
                         step=begin,
@@ -359,6 +394,7 @@ def run_case(a, h, periodic, case):
     result = dict(
         case=case,
         collision=a.collision,
+        observation_mode=a.observation_mode,
         **a.provenance,
         mode=a.mode,
         history=rows,
@@ -428,12 +464,14 @@ def check_deadline(deadline):
         )
 
 
-def verify_pilot(path, manifest, collision="SRT"):
+def verify_pilot(path, manifest, collision="SRT", observation_mode="last_base_step"):
     if path is None:
         raise ValueError(
             "Full comparison requires --pilot-results from a completed matched pilot"
         )
     previous = read_finite_json(path / "plan.json")
+    if previous.get("observation_mode") != observation_mode:
+        raise ValueError("Pilot observation mode differs")
     if previous.get("collision") != collision:
         raise ValueError("Pilot collision differs")
     if previous["source_manifest"] != manifest or previous["bounds_root_edge"] != list(
@@ -446,7 +484,8 @@ def verify_pilot(path, manifest, collision="SRT"):
     for case, diameter in (("uniform", 80), ("refined", 40)):
         summary = read_finite_json(path / case / "summary.json")
         if (
-            summary.get("collision") != collision
+            summary.get("observation_mode") != observation_mode
+            or summary.get("collision") != collision
             or summary.get("case") != case
             or summary.get("mode") != "pilot"
             or summary.get("status") != "pilot_complete"
@@ -498,7 +537,8 @@ def verify_pilot(path, manifest, collision="SRT"):
                 raise ValueError("Unhealthy pilot observations")
         ready = read_finite_json(path / case / "ready.json")
         if (
-            ready.get("collision") != collision
+            ready.get("observation_mode") != observation_mode
+            or ready.get("collision") != collision
             or ready.get("case") != case
             or ready.get("mode") != "pilot"
             or ready.get("step") != interval
@@ -523,6 +563,8 @@ def verify_pilot(path, manifest, collision="SRT"):
 
 def main():
     parser = argparse.ArgumentParser(description=__doc__)
+    parser.add_argument("--exchange-window", action="store_true",
+                        help="Opt in to refined window-ledger observations on the pinned candidate")
     parser.add_argument("--collision", choices=["SRT", "MRT"], default="SRT")
     parser.add_argument("--source", type=Path, default=DEFAULT_SOURCE)
     parser.add_argument("--output", type=Path, required=True)
@@ -536,13 +578,14 @@ def main():
     )
     a = parser.parse_args()
     a.source = a.source.resolve()
-    manifest = verify_source(a.source, a.collision)
+    a.observation_mode = "window" if a.exchange_window else "last_base_step"
+    manifest = verify_source(a.source, a.collision, a.observation_mode)
     h, periodic = helpers(a.source)
     from source_provenance import checkout_provenance
 
     a.provenance = checkout_provenance(a.source)
     calibration = (
-        verify_pilot(a.pilot_results, manifest, a.collision)
+        verify_pilot(a.pilot_results, manifest, a.collision, a.observation_mode)
         if a.mode == "full" else None
     )
     if a.mode != "plan" and (
@@ -559,7 +602,7 @@ def main():
     if a.output.exists() and any(a.output.iterdir()):
         raise ValueError("Output must be empty/new")
     a.output.mkdir(parents=True, exist_ok=True)
-    specification = plan(h, a.collision)
+    specification = plan(h, a.collision, a.observation_mode)
     specification.update(
         source_manifest=manifest,
         **a.provenance,
@@ -586,6 +629,7 @@ def main():
             failure = dict(
                 status="wall_time_limit",
                 collision=a.collision,
+                observation_mode=a.observation_mode,
                 **a.provenance,
                 case=case,
                 matched_case_pass=False,
@@ -601,6 +645,7 @@ def main():
             break
     comparison = dict(
         collision=a.collision,
+        observation_mode=a.observation_mode,
         **a.provenance,
         status="pilot_only" if a.mode == "pilot" else "incomplete",
         matched_case_pass=False,

tests/validation/run_uniform_les_flow.py

@@ -59,17 +59,24 @@ def decode_macros(data, w, cx, cy):
     return profile, *metrics
 
 
-def source_guard(root, variant):
-    manifest = json.loads((HERE / "data/les_flow/source_pins.json").read_text())
+EXPERIMENTS = {
+    "historical": "source_pins.json",
+    "dev8403956": "source_pins_dev8403956.json",
+    "a135252": "source_pins_a135252.json",
+}
+
+
+def source_guard(root, variant, experiment="historical"):
+    manifest_path = HERE / "data/les_flow" / EXPERIMENTS[experiment]
+    manifest = json.loads(manifest_path.read_text())
     for name, sha in manifest["sources"].items():
-        expected = (
-            manifest["candidate_header_sha256"]
-            if name == HEADER and variant == "corrected"
-            else sha
-        )
+        expected = sha
+        if name == HEADER:
+            expected = (manifest["candidate_header_sha256"] if variant == "corrected"
+                        else manifest.get("baseline_header_sha256", sha))
         if hashlib.sha256((root / name).read_bytes()).hexdigest() != expected:
             raise RuntimeError("Source pin mismatch: " + name)
-    return dict(
+    identity = dict(
         base_commit=manifest["base_commit"],
         production_origin_commit=manifest["production_origin_commit"],
         source_experiment=manifest["source_experiment"],
@@ -80,12 +87,22 @@ def source_guard(root, variant):
         header_sha256=hashlib.sha256((root / HEADER).read_bytes()).hexdigest(),
         variant=variant,
     )
+    if experiment != "historical":
+        identity.update(
+            experiment=experiment,
+            source_manifest_sha256=hashlib.sha256(manifest_path.read_bytes()).hexdigest(),
+        )
+    return identity
 
 
 def main():
     ap = argparse.ArgumentParser(description=__doc__)
     ap.add_argument("--root", type=Path, required=True)
     ap.add_argument("--variant", choices=["baseline", "corrected"], required=True)
+    ap.add_argument(
+        "--experiment", choices=tuple(EXPERIMENTS), default="historical",
+        help="Explicit source contract; historical pins remain the default",
+    )
     ap.add_argument("--output", type=Path, required=True)
     ap.add_argument(
         "--device", type=int, default=0, help="Logical device in CUDA_VISIBLE_DEVICES"
@@ -100,7 +117,7 @@ def main():
         ap.error("Output exists; choose a new evidence path")
     args.output.parent.mkdir(parents=True, exist_ok=True)
     root = args.root.resolve()
-    pins = source_guard(root, args.variant)
+    pins = source_guard(root, args.variant, args.experiment)
     # Refuse installed-package shadowing; import only after explicit GPU opt-in.
     sys.path.insert(0, str(root / "src"))
     import CelerisLab

tests/validation/taylor_green/assess_projected_pairs.py

@@ -0,0 +1,299 @@
+"""New-source four-case repeat of 11901a7; frozen oracle and gates are unchanged."""
+
+import argparse
+import hashlib
+import json
+import math
+from pathlib import Path
+
+from assess import BASELINE_FACTOR, FLOORS
+from oracle import LIMITS, TIMES, U, rectangles
+from run_case import (INITIALIZATION, sample_steps, NUMERICAL_REVISION, SOURCE_SHA256,
+                      BUILD_CAPTURE_SHA256, REFERENCE_HARNESS, SCALED_DIAGNOSTIC)
+
+# Host-generated snapshots of a135252 at the frozen local configurations.
+# These describe expected inputs; actual sidecars are captured before cleanup.
+BUILD_SOURCES = {
+    128: "803177416b7599ab89cc5afd35cf4a28a673b2f4bb8e8a6a1abc0b6d77610873",
+    256: "17ec5e60f87b840d3d13b8778bc8a3aecf485469c5a061af46c5cc19b73396cf",
+    512: "4e85e38098858ec95c137d1b1e96846a58d9cf3cc242b349a3ad7c8b8e3ce0aa",
+}
+CASES = ((100, 128, 1, "constant"), (100, 256, 1, "constant"),
+         (100, 128, 2, "constant"), (100, 128, 2, "projected_linear"))
+REFERENCE_REVISION = "2cf9853952e52f59bea63cf5c1d3a1cd76e53eed"
+# Audited 2cf9853 scalar receipts, archived at evidence commit 90849a55cad4a0da9b72747da7bfe6eb75962a44.
+REFERENCE_RECEIPTS = {
+    "uniform128": "724efafc267eaa59dcc59e8d4c16177b67f6c6a08fd2732a481833237bb19cee",
+    "uniform256": "3c312a99ebf747a135674dd481b77455a3d2c9a406ca388f30524b37dad9bbe9",
+    "constant128": "2ee28efd1e81b2e28b7902b6c4f95bb2c1ea4e5f0ec484638fa5ae83dca34bba",
+    "projected128": "ee67b1d4d90a048c0d3d1a16447c6eab3d89c94d151f791306e373f96dd8b963",
+}
+NUMERICS = dict(lattice_model="D2Q9", collision="SRT", store_precision="FP32",
+                ddf_shifting=True, streaming="double_buffer", les_enabled=False,
+                boundary="periodic", block_shape=[8, 8],
+                sample_phase="postcollision G at root synchronization")
+
+
+def finite(value):
+    return isinstance(value, (int, float)) and not isinstance(value, bool) and math.isfinite(value)
+
+
+def finite_tree(value):
+    if isinstance(value, dict):
+        return all(finite_tree(v) for v in value.values())
+    if isinstance(value, list):
+        return all(finite_tree(v) for v in value)
+    return not isinstance(value, float) or math.isfinite(value)
+
+
+def at_steps(rows, steps, n):
+    return len(rows) == len(steps) and all(
+        type(r.get("step")) is int and r["step"] == step and finite(r.get("tstar"))
+        and abs(r["tstar"] - step * U / n) <= 3e-17
+        for r, step in zip(rows, steps)
+    )
+
+
+def maximum(rows, metric):
+    values = [r.get(metric) for r in rows]
+    return max(values) if values and all(finite(v) and v >= 0 for v in values) else None
+
+
+def valid_builds(record, n, depth):
+    builds = record.get("actual_build_sidecars", [])
+    if not isinstance(builds, list) or len(builds) != depth:
+        return False
+    for level, build in enumerate(builds):
+        if not isinstance(build, dict):
+            return False
+        size = n * 2**level
+        cfg = build.get("config", {})
+        expected = dict(nx=10, ny=10, nz=1, lattice_model="D2Q9", collision="SRT",
+                        store_precision="FP32", streaming="double_buffer", ddf_shifting=True,
+                        les_enabled=False, velocity=0.0, viscosity=U*size/100, rho=1.0,
+                        omega=1/(.5+3*U*size/100), threads_per_block=256)
+        ptx = build.get("ptx_sha256", "")
+        if (build.get("source_sha256") != BUILD_SOURCES[size]
+                or build.get("arch") != "sm_70" or build.get("flags") != ["--use_fast_math"]
+                or build.get("n_objects") != 0 or not isinstance(cfg, dict)
+                or any(cfg.get(k) != value for k, value in expected.items())
+                or not isinstance(ptx, str) or len(ptx) != 64
+                or any(c not in "0123456789abcdef" for c in ptx)):
+            return False
+    return True
+
+
+def assess(records, expected_revision=None, *, diagnostic=None):
+    if diagnostic not in (None, SCALED_DIAGNOSTIC):
+        raise ValueError("Unknown diagnostic")
+    base_n = 256 if diagnostic else 128
+    cases = tuple((re, n * base_n // 128, depth, scheme) for re, n, depth, scheme in CASES)
+    indexed, duplicates = {}, []
+    for record in records:
+        key = tuple(record.get(k) for k in ("re_L", "n", "depth", "explosion"))
+        if key in indexed:
+            duplicates.append(str(key))
+        else:
+            indexed[key] = record
+    missing = [str(k) for k in cases if k not in indexed]
+    checks = dict(complete_matrix=not missing, no_extra_cases=set(indexed) <= set(cases),
+                  no_duplicate_cases=not duplicates, finite_receipts=finite_tree(records))
+    if diagnostic or any("diagnostic" in r for r in records):
+        checks["diagnostic_identity"] = all(r.get("diagnostic") == diagnostic for r in records)
+    sources = [r.get("source", {}) for r in records]
+    checks["same_source_and_harness"] = bool(sources) and len({
+        json.dumps(s, sort_keys=True) for s in sources}) == 1
+    checks["clean_a135252_numerical_source"] = bool(sources) and all(
+        s.get("dirty") is False and s.get("source_tree_sha256") == SOURCE_SHA256
+        and bool(s.get("revision")) and bool(s.get("harness_sha256"))
+        and s.get("build_capture_sha256") == BUILD_CAPTURE_SHA256
+        and (expected_revision is None or s.get("revision") == expected_revision) for s in sources)
+    runtimes = [r.get("runtime_identity") for r in records]
+    checks["same_recorded_runtime"] = bool(runtimes) and all(
+        isinstance(v, dict) and all(v.get(k) for k in
+            ("device", "nvcc_path", "nvcc_version", "python", "numpy", "pycuda"))
+        and isinstance(v["device"], dict) and v["device"].get("capability") == [7, 0]
+        and all(v["device"].get(k) for k in ("name", "pci_bus_id", "driver", "runtime"))
+        for v in runtimes
+    ) and len({json.dumps(v, sort_keys=True) for v in runtimes}) == 1
+    devices = [r.get("cuda_visible_devices") for r in records]
+    checks["same_explicit_device"] = bool(devices) and all(
+        isinstance(d, str) and d and "," not in d and d != "-1" for d in devices
+    ) and len(set(devices)) == 1
+    enabled = [r.get("early_pressure", {}).get("enabled") for r in records]
+    checks["same_early_sampling"] = bool(enabled) and all(type(v) is bool for v in enabled) and len(set(enabled)) == 1
+    if diagnostic:
+        checks["diagnostic_early_sampling"] = all(v is True for v in enabled)
+    shared_valid = all(checks.values())
+    complete, case_valid, early = {}, {}, []
+    for key in cases:
+        if key not in indexed:
+            continue
+        r = indexed[key]
+        _, n, depth, scheme = key
+        label = f"{n}/{depth}/{scheme}"
+        rows = r.get("rows", [])
+        main_steps, early_steps = sample_steps(n, True)
+        complete[key] = r.get("completed") is True and at_steps(rows, main_steps, n)
+        checks[label + " complete_times"] = complete[key]
+        checks[label + " scales"] = (
+            r.get("U") == U and finite(r.get("viscosity"))
+            and abs(r["viscosity"] - U * n / 100) < 1e-15
+            and r.get("tau_by_level") == [0.5 + 3 * U * n / 100 * 2**l for l in range(depth)]
+            and r.get("mach") == U * math.sqrt(3)
+        )
+        checks[label + " actual_builds"] = valid_builds(r, n, depth)
+        checks[label + " reference"] = (r.get("numerical_revision") == NUMERICAL_REVISION
+                                         and r.get("reference_harness") == REFERENCE_HARNESS)
+        checks[label + " numerics"] = r.get("numerics") == NUMERICS and r.get("initialization") == INITIALIZATION
+        runtime = r.get("runtime_source", {})
+        package = Path(runtime.get("checkout", "")) / "src/CelerisLab"
+        checks[label + " runtime_source"] = bool(runtime.get("checkout")) and all(
+            runtime.get(k) == str(package / tail) for k, tail in
+            (("module", "__init__.py"), ("compiler", "cuda/compiler_v2.py"), ("kernel_root", "lbm/kernels")))
+        expected_patch = [] if depth == 1 else rectangles(n, depth)
+        checks[label + " patch"] = json.dumps(r.get("refinements")) == json.dumps(expected_patch)
+        cells = [n*n] if depth == 1 else [17*n*n//32, 15*n*n//8]
+        hops = [16*n * 2**l for l in range(depth)]
+        work = r.get("workload", {})
+        checks[label + " workload"] = (
+            work.get("active_cells_by_level") == cells and work.get("level_hops") == hops
+            and work.get("root_intervals") == 16*n
+            and work.get("active_collision_updates_by_level") == [c*h for c, h in zip(cells, hops)]
+            and work.get("active_collision_updates") == sum(c*h for c, h in zip(cells, hops))
+        )
+        checks[label + " absolute"] = bool(rows) and all(
+            finite(row.get(metric)) and 0 <= row[metric] <= limit
+            for row in rows for metric, limit in LIMITS.items())
+        trace = r.get("early_pressure", {})
+        trace_rows = trace.get("rows", [])
+        peak = maximum(trace_rows, "pressure_l2")
+        trace_complete = at_steps(trace_rows, early_steps, n) and peak is not None
+        checks[label + " early_trace"] = (
+            trace_complete and trace.get("sampled_max_pressure_l2") == peak
+            and len(rows) >= 2 and all(trace_rows[i]["pressure_l2"] == rows[j].get("pressure_l2")
+                                      for i, j in ((0, 0), (-1, 1)))
+            if trace.get("enabled") is True else
+            trace.get("enabled") is False and trace_rows == [] and trace.get("sampled_max_pressure_l2") is None
+        )
+        early.append(dict(n=n, depth=depth, explosion=scheme, enabled=trace.get("enabled"),
+                          samples=len(trace_rows), complete=trace_complete,
+                          sampled_max_pressure_l2=peak))
+        case_valid[key] = all(value for name, value in checks.items() if name.startswith(label + " "))
+
+    def worst(key, metric):
+        return maximum(indexed[key]["rows"][1:], metric) if complete.get(key) else None
+
+    comparisons, scheme_results = [], {}
+    for scheme in ("constant", "projected_linear"):
+        key = (100, base_n, 2, scheme)
+        for metric, floor in FLOORS.items():
+            amr, coarse, fine = (worst(k, metric) for k in (key, cases[0], cases[1]))
+            budget = None if coarse is None else max(BASELINE_FACTOR * coarse, floor)
+            budget = budget if finite(budget) else None
+            ratio = None if amr is None or fine is None else amr / max(fine, 1e-30)
+            passed = amr is not None and budget is not None and amr <= budget
+            checks[f"baseline {scheme}/{metric}"] = passed
+            comparisons.append(dict(explosion=scheme, metric=metric, amr=amr,
+                                    baseline_budget=budget, passed=passed,
+                                    **{f"uniform{base_n}": coarse, f"uniform{2*base_n}": fine,
+                                       f"amr_to_uniform{2*base_n}": ratio if finite(ratio) else None}))
+            if diagnostic:
+                comparisons[-1]["floor_dominates"] = None if coarse is None else floor >= BASELINE_FACTOR * coarse
+        baseline_passed = all(checks[f"baseline {scheme}/{metric}"] for metric in FLOORS)
+        valid = shared_valid and all(case_valid.get(k, False) for k in (cases[0], cases[1], key))
+        scheme_results[scheme] = dict(passed=valid and baseline_passed,
+                                     valid_case_and_controls=valid, baseline_passed=baseline_passed)
+    return dict(passed=all(checks.values()), missing=missing, duplicates=duplicates, checks=checks,
+                comparisons=comparisons, scheme_results=scheme_results, early_pressure=early,
+                numerical_revision=NUMERICAL_REVISION, source_tree_sha256=SOURCE_SHA256,
+                reference_harness=REFERENCE_HARNESS, expected_revision=expected_revision,
+                floors=FLOORS, baseline_factor=BASELINE_FACTOR,
+                main_statistic="maximum of four post-initial samples at t*=.12,.24,.36,.48",
+                early_statistic="sampled pressure maximum only, t*=k*.001875, k=0..64; not an all-step or continuous maximum",
+                finest_control=f"uniform{2*base_n} and AMR/ uniform{2*base_n} ratios are descriptive, not acceptance gates",
+                scope="2D periodic Re100 smooth-decay diagnostic; no new algorithm, convergence-order or general AMR qualification")
+
+
+def load_reference(paths):
+    """Use the four audited historical files verbatim, never relabel them fresh controls."""
+    blobs = [path.read_bytes() for path in paths]
+    hashes = [hashlib.sha256(blob).hexdigest() for blob in blobs]
+    if len(hashes) != 4 or set(hashes) != set(REFERENCE_RECEIPTS.values()):
+        raise ValueError("Historical N128 receipt hashes differ from the audited 2cf9853 evidence")
+    return [json.loads(blob) for blob in blobs]
+
+
+def resolution_trend(records, reference, expected_revision):
+    """Signed changes are descriptive; they never replace the frozen acceptance budgets."""
+    old = assess(reference, REFERENCE_REVISION)
+    new = assess(records, expected_revision, diagnostic=SCALED_DIAGNOSTIC)
+    # Numerical screen failures still have useful raw errors; only malformed inputs block trends.
+    valid = all(v for result in (old, new) for k, v in result["checks"].items()
+                if not k.startswith("baseline ") and not k.endswith(" absolute"))
+    valid = valid and all(maximum(r["rows"], m) is not None for r in reference + records for m in LIMITS)
+    oracle = reference[0]["source"]["harness_sha256"].get("oracle.py") if valid else None
+    valid = valid and bool(oracle) and records[0]["source"]["harness_sha256"].get("oracle.py") == oracle
+    if not valid:
+        return dict(valid=False, per_time=[], worst_post_initial=[], uniform256_bridge=[])
+    key = lambda r: (r["re_L"], r["n"], r["depth"], r["explosion"])
+    before, after = {key(r): r for r in reference}, {key(r): r for r in records}
+
+    def change(role, metric, low, high, **extra):
+        ratio = high / low if low else None
+        percent = 100*(ratio-1) if ratio is not None else None
+        return dict(role=role, metric=metric, n128_campaign_error=low, n256_campaign_error=high,
+                    signed_change=high-low, new_to_old=ratio if finite(ratio) else None,
+                    ratio_unavailable_reason=None if finite(ratio) else "zero historical error" if not low else "overflow",
+                    change_percent=percent if finite(percent) else None, **extra)
+
+    per_time, worst, bridge = [], [], []
+    for old_key, role in zip(CASES, ("uniform_root", "uniform_fine", "constant", "projected_linear")):
+        re, n, depth, scheme = old_key
+        low, high = before[old_key], after[(re, 2*n, depth, scheme)]
+        for metric in LIMITS:
+            per_time.extend(change(role, metric, a[metric], b[metric], tstar=a["tstar"])
+                            for a, b in zip(low["rows"], high["rows"]))
+            worst.append(change(role, metric, maximum(low["rows"][1:], metric),
+                                maximum(high["rows"][1:], metric)))
+    for a, b in zip(before[CASES[1]]["rows"], after[CASES[1]]["rows"]):
+        bridge.extend(dict(metric=m, tstar=a["tstar"], historical=a[m], fresh=b[m], signed_change=b[m]-a[m])
+                      for m in LIMITS)
+    low, high = before[CASES[1]], after[CASES[1]]
+    bridge_identity = dict(main_rows_identical=low["rows"] == high["rows"],
+                           early_pressure_rows_identical=low["early_pressure"]["rows"] == high["early_pressure"]["rows"])
+    same_runtime = reference[0]["runtime_identity"] == records[0]["runtime_identity"]
+    return dict(valid=True, reference_revision=REFERENCE_REVISION, reference_receipt_sha256=REFERENCE_RECEIPTS,
+                reference_scheme_results=old["scheme_results"], per_time=per_time, worst_post_initial=worst,
+                uniform256_bridge=bridge, uniform256_bridge_identity=bridge_identity,
+                same_recorded_runtime=same_runtime,
+                trend_interpretation_ready=all(bridge_identity.values()) and same_runtime,
+                scope="Historical same-production/oracle reference versus fresh controls; same-placement two-resolution trend only, not convergence order or phase robustness")
+
+
+if __name__ == "__main__":
+    p = argparse.ArgumentParser(description=__doc__)
+    p.add_argument("files", type=Path, nargs="+")
+    p.add_argument("--output", type=Path, required=True)
+    p.add_argument("--expected-revision", required=True)
+    p.add_argument("--diagnostic", choices=[SCALED_DIAGNOSTIC])
+    p.add_argument("--reference-files", type=Path, nargs=4)
+    args = p.parse_args()
+    if args.output.exists():
+        p.error("Output already exists; choose a new path to retain prior evidence")
+    if bool(args.diagnostic) != bool(args.reference_files):
+        p.error("--diagnostic scaled_n256 requires --reference-files; references are diagnostic-only")
+    records = [json.loads(path.read_text()) for path in args.files]
+    result = assess(records, args.expected_revision, diagnostic=args.diagnostic)
+    if args.diagnostic:
+        try:
+            reference = load_reference(args.reference_files)
+        except ValueError as exc:
+            p.error(str(exc))
+        result["diagnostic"] = args.diagnostic
+        result["resolution_trend"] = resolution_trend(records, reference, args.expected_revision)
+        result["checks"]["valid_historical_reference_and_trend"] = result["resolution_trend"]["valid"]
+        result["passed"] = all(result["checks"].values())
+    args.output.write_text(json.dumps(result, indent=2, allow_nan=False) + "\n")
+    print(json.dumps(result, indent=2, allow_nan=False))
+    raise SystemExit(0 if result["passed"] else 1)

tests/validation/taylor_green/assess_shear_wave.py

@@ -0,0 +1,336 @@
+"""Fixed four-case shear-wave contracts.
+
+Default: N128 (U128, U256, constant R128, projected R128). Opt-in
+--diagnostic scaled_shear_n256: N256 (U256, U512, constant R256, projected
+R256), same physical rectangle, t* schedule, nu = U N / 100, eps(N), limits
+and floors, plus a descriptive comparison with the hash-pinned N128 receipts.
+
+Shared provenance, build, workload and sample-time checks are reused from
+assess_projected_pairs (same cases, source pins and geometry); only the
+Taylor-Green-specific checks are replaced by shear-wave metadata and physics.
+"""
+
+import argparse
+import hashlib
+import json
+import math
+from pathlib import Path
+
+import assess_projected_pairs as tg
+import shear_wave as sw
+import shear_nested as nested
+import shear_twin as twin
+from run_case import (NESTED_SHEAR, SCALED_DIAGNOSTIC, SCALED_SHEAR, SHEAR_NESTED_SHA256,
+                      SHEAR_TWIN_SHA256, SHEAR_WAVE_SHA256, TWIN_SHEAR, sample_steps)
+
+# Audited de5b0cc N128 receipts (evidence commit cba6bca, shear-wave-de5b0cc zip).
+REFERENCE_REVISION = "de5b0cc080794d0ce44d37f845aa8e8dbf8c2016"
+REFERENCE_RECEIPTS = {
+    "uniform128": "d4a60fb806d04bfa8098a862cceba51e00b49979a6a250fef17a5fc8e3ea3255",
+    "uniform256": "e0b58e734724be5f82ee5d6df84395e3181b4e96e4246dd5a574ea23a8d12386",
+    "constant128": "c70d7cd14b1257a01cc49f8edfcc7685d430e5301e2f2d60ed426936f8b96c51",
+    "projected128": "980161458b9463af09a8e3178063fea0f4bbeb465329e1d3becdb0f224537b54",
+}
+ROLES = ("uniform_root", "uniform_fine", "constant", "projected_linear")
+
+SHARED = ("complete_matrix", "no_extra_cases", "no_duplicate_cases", "finite_receipts",
+          "same_source_and_harness", "clean_a135252_numerical_source",
+          "same_recorded_runtime", "same_explicit_device", "same_early_sampling")
+PER_CASE = ("complete_times", "scales", "actual_builds", "reference", "runtime_source",
+            "patch", "workload")
+
+
+METADATA_ULPS = 4
+
+
+def close_ulps(recorded, expected, ulps=METADATA_ULPS):
+    """Portable check for recomputed float metadata only (e.g. eps = |k|^2).
+
+    The recorded value comes from another runtime/libm, so exact equality can
+    fail by one ULP (observed: 0.012047856934923534 Horsea vs ...532 here).
+    A few ULPs is far below any meaningful change; hashes, case identity and
+    scientific thresholds stay exact.
+    """
+    return (isinstance(recorded, float) and math.isfinite(recorded)
+            and abs(recorded - expected) <= ulps * math.ulp(max(abs(recorded), abs(expected))))
+
+
+def metadata_ok(record, n):
+    return (record.get("flow") == "shear_wave" and record.get("mode") == list(sw.MODE)
+            and record.get("polarization") == sw.E.tolist()
+            and record.get("angle_deg") == sw.ANGLE_DEG and record.get("phase") == sw.PHI
+            and close_ulps(record.get("eps"), sw.eps(n))
+            and record.get("numerics") == tg.NUMERICS
+            and record.get("initialization") == sw.INITIALIZATION
+            and record.get("limits") == sw.LIMITS
+            and record.get("early_pressure") == dict(enabled=False, rows=[],
+                                                     sampled_max_pressure_l2=None)
+            and (record.get("source") or {}).get("shear_wave_sha256") == SHEAR_WAVE_SHA256)
+
+
+def cases_for(scaled):
+    factor = 2 if scaled else 1
+    return tuple((re, n * factor, depth, scheme) for re, n, depth, scheme in tg.CASES)
+
+
+def assess(records, expected_revision=None, *, scaled=False):
+    if not isinstance(records, list) or not all(isinstance(r, dict) for r in records):
+        raise ValueError("records must be a list of receipt objects")
+    # The scaled TG assessor supplies N256/512 cases, builds and workload; its
+    # TG-only diagnostic identity and early-sampling checks are not used here.
+    base_checks = tg.assess(records, expected_revision,
+                            diagnostic=SCALED_DIAGNOSTIC if scaled else None)["checks"]
+    checks = {name: base_checks.get(name, False) for name in SHARED}
+    checks["shear_diagnostic_identity"] = all(
+        r.get("diagnostic") == (SCALED_SHEAR if scaled else None) for r in records)
+    cases = cases_for(scaled)
+    indexed = {}
+    for r in records:
+        indexed.setdefault(tuple(r.get(k) for k in ("re_L", "n", "depth", "explosion")), r)
+    for key in cases:
+        _, n, depth, scheme = key
+        label = f"{n}/{depth}/{scheme}"
+        for name in PER_CASE:
+            checks[f"{label} {name}"] = base_checks.get(f"{label} {name}", False)
+        checks[f"{label} shear_metadata"] = key in indexed and metadata_ok(indexed[key], n)
+    contract_valid = all(checks.values())
+    result = dict(checks=checks, contract_valid=contract_valid,
+                  cases=[list(k) for k in cases], expected_revision=expected_revision,
+                  diagnostic=SCALED_SHEAR if scaled else None,
+                  scope="2D periodic Re100 oblique (2,1) shear wave; one phase and one "
+                        "rectangle; no placement robustness or convergence order")
+    if not contract_valid:
+        result.update(status="INVALID_SET", passed=False)
+        return result
+    try:
+        physics = sw.assess(indexed[cases[0]], indexed[cases[1]],
+                            [indexed[cases[2]], indexed[cases[3]]])
+    except (KeyError, ValueError) as error:
+        result.update(status="INVALID_SET", passed=False, reason=str(error))
+        return result
+    result.update(physics=physics, status=physics["status"],
+                  passed=physics["status"] == "PASS")
+    try:
+        result["signed"] = signed_summary([indexed[k] for k in cases])
+    except (KeyError, TypeError, ValueError) as error:
+        result["signed_unavailable"] = str(error)
+    return result
+
+
+CASE_AGNOSTIC = ("finite_receipts", "same_source_and_harness", "clean_a135252_numerical_source",
+                 "same_recorded_runtime", "same_explicit_device", "same_early_sampling")
+
+
+# Fixed multi-box presets sharing one contract; only geometry, controls, pins differ.
+PRESETS = {
+    NESTED_SHEAR: dict(
+        module=nested, physics=nested.assess, snapshot=True,
+        pins={"shear_nested_sha256": SHEAR_NESTED_SHA256},
+        finest_control="uniform 4N (U512)",
+        scope="2D periodic Re100 oblique (2,1) shear wave; fixed three-level/two-region "
+              "placement; changes placement and refined volume as well as depth, so no "
+              "isolated-level cost or resolution trend"),
+    TWIN_SHEAR: dict(
+        module=twin, physics=sw.assess, snapshot=False,
+        pins={"shear_nested_sha256": SHEAR_NESTED_SHA256,
+              "shear_twin_sha256": SHEAR_TWIN_SHA256},
+        finest_control="uniform 2N (U256)",
+        scope="2D periodic Re100 oblique (2,1) shear wave; depth-2 twin of the nested "
+              "preset (same two L0->L1 boxes, no L2). Twin vs nested is the effect of adding "
+              "this nested refinement; it also changes finest spacing and refined volume, so it "
+              "does not isolate abstract depth"),
+}
+
+
+def _nested_case_ok(r, n, depth, diagnostic=NESTED_SHEAR):
+    """Per-case identity of a fixed multi-box preset (scales, builds, patch, work, pins)."""
+    preset = PRESETS[diagnostic]
+    geometry = preset["module"]
+    runtime = r.get("runtime_source", {})
+    package = Path(runtime.get("checkout", "")) / "src/CelerisLab"
+    cells = [n * n] if depth == 1 else geometry.LEAVES
+    hops = [16 * n * 2**level for level in range(depth)]
+    work = r.get("workload", {})
+    snapshot = r.get("final_snapshot")
+    expected_patch = [] if depth == 1 else geometry.REFINEMENTS
+    return {
+        "complete_times": r.get("completed") is True and tg.at_steps(
+            r.get("rows", []), sample_steps(n)[0], n),
+        "scales": (r.get("U") == sw.U and tg.finite(r.get("viscosity"))
+                   and abs(r["viscosity"] - sw.U * n / 100) < 1e-15
+                   and r.get("tau_by_level") == [0.5 + 3 * sw.U * n / 100 * 2**l
+                                                 for l in range(depth)]
+                   and r.get("mach") == sw.U * math.sqrt(3)),
+        "actual_builds": tg.valid_builds(r, n, depth),
+        "reference": (r.get("numerical_revision") == tg.NUMERICAL_REVISION
+                      and r.get("reference_harness") == tg.REFERENCE_HARNESS),
+        "runtime_source": bool(runtime.get("checkout")) and all(
+            runtime.get(k) == str(package / tail) for k, tail in
+            (("module", "__init__.py"), ("compiler", "cuda/compiler_v2.py"),
+             ("kernel_root", "lbm/kernels"))),
+        "patch": json.dumps(r.get("refinements")) == json.dumps(expected_patch),
+        "workload": (work.get("active_cells_by_level") == cells and work.get("level_hops") == hops
+                     and work.get("root_intervals") == 16 * n
+                     and work.get("active_collision_updates_by_level") == [
+                         c * h for c, h in zip(cells, hops)]
+                     and work.get("active_collision_updates") == sum(
+                         c * h for c, h in zip(cells, hops))),
+        "shear_metadata": metadata_ok(r, n),
+        "nested_module_pin": all((r.get("source") or {}).get(key) == pin
+                                 for key, pin in preset["pins"].items()),
+        # Optional, nested projected depth-3 only; bounded and hashed when present.
+        "snapshot": snapshot is None or (
+            preset["snapshot"] and depth == nested.DEPTH and r.get("explosion") == "projected_linear"
+            and snapshot.get("kept") is True and isinstance(snapshot.get("sha256"), str)
+            and len(snapshot["sha256"]) == 64
+            and 0 < snapshot.get("bytes", 0) <= nested.SNAPSHOT_MAX_BYTES
+            and snapshot.get("leaf_counts") == nested.LEAVES
+            and snapshot.get("step") == sample_steps(n)[0][-1]),
+    }
+
+
+def assess_nested(records, expected_revision=None, diagnostic=NESTED_SHEAR):
+    """Fixed four-case preset contract: nested_shear_n128 (U128, U512, constant/projected
+    R128 depth 3) or twin_shear_n128 (U128, U256, constant/projected R128 depth 2)."""
+    preset = PRESETS[diagnostic]
+    geometry = preset["module"]
+    if not isinstance(records, list) or not all(isinstance(r, dict) for r in records):
+        raise ValueError("records must be a list of receipt objects")
+    base_checks = tg.assess(records, expected_revision)["checks"]
+    checks = {name: base_checks.get(name, False) for name in CASE_AGNOSTIC}
+    indexed, duplicates = {}, []
+    for r in records:
+        key = tuple(r.get(k) for k in ("re_L", "n", "depth", "explosion"))
+        (duplicates.append(key) if key in indexed else indexed.__setitem__(key, r))
+    checks.update(complete_matrix=all(k in indexed for k in geometry.CASES),
+                  no_extra_cases=set(indexed) <= set(geometry.CASES),
+                  no_duplicate_cases=not duplicates,
+                  shear_diagnostic_identity=all(r.get("diagnostic") == diagnostic
+                                                for r in records))
+    for key in geometry.CASES:
+        _, n, depth, scheme = key
+        label = f"{n}/{depth}/{scheme}"
+        case = _nested_case_ok(indexed[key], n, depth, diagnostic) if key in indexed else {}
+        for name in ("complete_times", "scales", "actual_builds", "reference", "runtime_source",
+                     "patch", "workload", "shear_metadata", "nested_module_pin", "snapshot"):
+            checks[f"{label} {name}"] = bool(case.get(name, False))
+    contract_valid = all(checks.values())
+    result = dict(checks=checks, contract_valid=contract_valid, diagnostic=diagnostic,
+                  cases=[list(k) for k in geometry.CASES], expected_revision=expected_revision,
+                  finest_control=preset["finest_control"], scope=preset["scope"])
+    if not contract_valid:
+        result.update(status="INVALID_SET", passed=False)
+        return result
+    try:
+        cases = geometry.CASES
+        physics = preset["physics"](indexed[cases[0]], indexed[cases[1]],
+                                    [indexed[cases[2]], indexed[cases[3]]])
+    except (KeyError, ValueError) as error:
+        result.update(status="INVALID_SET", passed=False, reason=str(error))
+        return result
+    result.update(physics=physics, status=physics["status"], passed=physics["status"] == "PASS")
+    try:
+        # Role "uniform_fine" is the preset's finest control (4N nested, 2N twin).
+        result["signed"] = signed_summary([indexed[k] for k in geometry.CASES])
+    except (KeyError, TypeError, ValueError) as error:
+        result["signed_unavailable"] = str(error)
+    return result
+
+
+def _signed(record):
+    """Raw signed quantities of one valid record (None when the fit is unavailable)."""
+    s = sw.summarize(record)
+    bias = None if not s["rate_fit_valid"] else s["rate"] / s["exact_rate"] - 1
+    return dict(n=record["n"], depth=record["depth"], explosion=record["explosion"],
+                rate_fit_valid=s["rate_fit_valid"], signed_rate_bias=bias,
+                rate_tstar=s["rate_tstar"], exact_rate_tstar=s["exact_rate_tstar"],
+                interval_rate_errors=s["interval_rate_errors"],
+                residual_l2=s["residual_l2"], spurious_pressure_scaled=s["spurious_pressure_scaled"],
+                spurious_pressure_rms=s["spurious_pressure_rms"],
+                final_amplitude_error=record["rows"][-1]["amplitude_error"])
+
+
+def signed_summary(records):
+    """Signed bias per case and refined excess over each uniform control."""
+    rows = dict(zip(ROLES, (_signed(r) for r in records)))
+
+    def minus(a, b):
+        return None if a is None or b is None else a - b
+
+    for role in ("constant", "projected_linear"):
+        for control in ("uniform_root", "uniform_fine"):
+            rows[role][f"excess_over_{control}"] = {
+                key: minus(rows[role][key], rows[control][key])
+                for key in ("signed_rate_bias", "residual_l2", "spurious_pressure_rms")}
+    return rows
+
+
+def load_reference(paths):
+    """The four audited N128 receipts verbatim; never relabelled as fresh controls."""
+    blobs = [Path(path).read_bytes() for path in paths]
+    hashes = {hashlib.sha256(blob).hexdigest() for blob in blobs}
+    if len(blobs) != 4 or hashes != set(REFERENCE_RECEIPTS.values()):
+        raise ValueError("N128 receipt hashes differ from the audited de5b0cc evidence")
+    return [json.loads(blob) for blob in blobs]
+
+
+def resolution_trend(new_result, reference, reference_revision=REFERENCE_REVISION):
+    """Descriptive N128 -> N256 signed changes; never an acceptance gate or an order."""
+    old_result = assess(reference, reference_revision)
+    if "signed" not in old_result or "signed" not in new_result:
+        return dict(valid=False, reason="N128 reference or N256 set lacks a valid signed summary")
+    out = {}
+    for role in ROLES:
+        old, new = old_result["signed"][role], new_result["signed"][role]
+        out[role] = {}
+        for key in ("signed_rate_bias", "residual_l2", "spurious_pressure_rms",
+                    *(f"excess_over_{c}" for c in ("uniform_root", "uniform_fine"))):
+            if key not in old:
+                continue
+            pairs = old[key].items() if isinstance(old[key], dict) else [(None, old[key])]
+            for sub, low in pairs:
+                high = new[key][sub] if sub else new[key]
+                ok = low is not None and high is not None
+                out[role][key if sub is None else f"{key}.{sub}"] = dict(
+                    n128=low, n256=high, signed_change=high - low if ok else None,
+                    n256_to_n128=high / low if ok and low else None)
+    return dict(valid=True, reference_revision=reference_revision,
+                reference_receipt_sha256=REFERENCE_RECEIPTS,
+                reference_status=old_result["status"], changes=out,
+                scope="same-placement two-resolution trend; not a convergence order, "
+                      "placement robustness or redesign decision")
+
+
+if __name__ == "__main__":
+    p = argparse.ArgumentParser(description=__doc__)
+    p.add_argument("files", type=Path, nargs=4)
+    p.add_argument("--output", type=Path, required=True)
+    p.add_argument("--expected-revision", required=True)
+    p.add_argument("--diagnostic", choices=[SCALED_SHEAR, NESTED_SHEAR, TWIN_SHEAR])
+    p.add_argument("--reference-files", type=Path, nargs=4)
+    args = p.parse_args()
+    if args.output.exists():
+        p.error("Output already exists; choose a new path to retain prior evidence")
+    if args.diagnostic in PRESETS:
+        if args.reference_files:
+            p.error(f"{args.diagnostic} takes no reference files (no resolution trend)")
+        result = assess_nested([json.loads(path.read_text()) for path in args.files],
+                               args.expected_revision, args.diagnostic)
+        text = json.dumps(result, indent=2, allow_nan=False) + "\n"
+        args.output.write_text(text)
+        print(text, end="")
+        raise SystemExit(0 if result["passed"] else 1)
+    if bool(args.diagnostic) != bool(args.reference_files):
+        p.error("--diagnostic scaled_shear_n256 requires --reference-files (N128 receipts)")
+    result = assess([json.loads(path.read_text()) for path in args.files], args.expected_revision,
+                    scaled=bool(args.diagnostic))
+    if args.diagnostic:
+        try:
+            reference = load_reference(args.reference_files)
+        except ValueError as exc:
+            p.error(str(exc))
+        result["resolution_trend"] = resolution_trend(result, reference)
+    text = json.dumps(result, indent=2, allow_nan=False) + "\n"
+    args.output.write_text(text)
+    print(text, end="")
+    raise SystemExit(0 if result["passed"] else 1)

tests/validation/taylor_green/run_case.py

@@ -1,9 +1,11 @@
-"""One bounded GPU case. No production edits, plots, checkpoints or field dumps."""
+"""One bounded GPU case, with explicit opt-in experimental explosion."""
 
 import argparse
+from contextlib import nullcontext
 import hashlib
 import json
 import os
+import shutil
 from pathlib import Path
 import subprocess
 import sys
@@ -12,6 +14,74 @@ import time
 import numpy as np
 from oracle import U, TIMES, LIMITS, initial, metrics, rectangles
 
+NUMERICAL_REVISION = "a135252ae78b47b57d7e77d19001700b3bedac8b"
+SOURCE_SHA256 = "a5dbfd804befce868067d79a23e5fd47dce7f505b3f9b1bb2145fb57cb5f2178"
+BUILD_CAPTURE_SHA256 = "3dbaa6547cb0a4cb1541054f3b64ad8b6e18cc70527ac6166e56b944e9bd464a"
+REFERENCE_HARNESS = "11901a7f77557a901e017a171eeae1758d584fa5"
+INITIALIZATION = "physical FP64 equilibrium G at actual cell centers; rho=1+3p"
+SHEAR_WAVE_SHA256 = "81d5c8ee60864372887cddf9239580c82fb6750d956038f1e3ee9de61aa4e877"
+SCALED_DIAGNOSTIC = "scaled_n256"
+SCALED_SHEAR = "scaled_shear_n256"  # mutually exclusive with scaled_n256 (one flow each)
+NESTED_SHEAR = "nested_shear_n128"  # fixed three-level/two-region shear preset
+SHEAR_NESTED_SHA256 = "fa6cfe87fb4df8c6d732c637c885276833c81973b950c7724d734f8fc350bcb0"
+TWIN_SHEAR = "twin_shear_n128"  # depth-2 twin: nested L0->L1 boxes without L2
+SHEAR_TWIN_SHA256 = "1cbf37f18e89aea577581631c4565f51e68d22a3739b698816ef64acbf2b2bb4"
+WIDE_X_SHEAR = "wide_x_shear_n128"  # one projected x-gap-width contrast
+SHEAR_WIDE_X_SHA256 = "13d16ba355117e2d074edccd9dc5d694c2fc13c673a0abdfca6401f6ed917733"
+AXIS_SQUARE = "axis_square_shear_n128"  # short four-face orientation diagnostic
+SHEAR_AXIS_SQUARE_SHA256 = "0baffa6eb99c268ce998d90300c993d45bb3b7b27c524b636874d75808bd0a8c"
+CENTERED_SQUARE = "centered_face_square_n128"  # private-build reconstruction comparison
+SHEAR_CENTERED_SHA256 = "78bd7360e266e5e28ef4f03496413375551fcdc10ceba61d43bd88c33b4a8f5c"
+POSTG_SHEAR = "postg_shear_n128"  # initialization-only three-case counterfactual
+SHEAR_POSTG_SHA256 = "9c909fa013c092490ee21532e3125b2a78a4c5102c7a1bdc0e76986d3f0ef903"
+SHEAR_PROBES_SHA256 = "e2e6490d281cc275f448dc6d6ea7b9b4407cc74a51e9256b86c08c8626b89b76"  # signed interface-probe mechanism diagnostic
+
+
+def flow_functions(flow="taylor_green"):
+    """(initial, metrics, limits, initialization); the default is the frozen TG oracle."""
+    if flow == "taylor_green":
+        return initial, metrics, LIMITS, INITIALIZATION
+    if flow == "shear_wave":
+        import shear_wave
+        return shear_wave.initial, shear_wave.metrics, shear_wave.LIMITS, shear_wave.INITIALIZATION
+    raise ValueError(f"unknown flow {flow!r}")
+
+
+def finite_row(row):
+    """Every scalar or list-valued diagnostic is finite (TG rows are all scalars)."""
+    return all(np.isfinite(np.asarray(value, dtype=float)).all() for value in row.values())
+
+
+def sample(run, masks, step, n, viscosity, initial_mass, metrics, depth, label="sample"):
+    arrays = (run.download(),) if depth == 1 else run.download()
+    row = metrics(arrays, masks, step, n, viscosity, initial_mass)
+    if not finite_row(row):
+        raise FloatingPointError(f"nonfinite {label} diagnostics")
+    return row
+
+
+def sample_steps(n, early_pressure=False):
+    """Root synchronization steps; early ladder matches the 707afe6 diagnostic."""
+    main = [round(tstar * n / U) for tstar in TIMES]
+    early = list(range(0, 4 * n + 1, n // 16)) if early_pressure else []
+    return main, early
+
+
+def runtime_source(repo):
+    """Fail before CUDA if Python or the compiler snapshot comes from another tree."""
+    import CelerisLab
+    from CelerisLab.cuda import compiler_v2
+
+    paths = dict(module=Path(CelerisLab.__file__).resolve(),
+                 compiler=Path(compiler_v2.__file__).resolve(),
+                 kernel_root=Path(compiler_v2.kernel_path("blocks.cu")).resolve().parent)
+    package = repo / "src/CelerisLab"
+    expected = dict(module=package / "__init__.py", compiler=package / "cuda/compiler_v2.py",
+                    kernel_root=package / "lbm/kernels")
+    if paths != expected:
+        raise RuntimeError("Wrong imported source or CUDA source/include root")
+    return dict(checkout=str(repo), **{key: str(path) for key, path in paths.items()})
+
 
 def provenance(repo):
     git = lambda *a: subprocess.check_output(
@@ -34,6 +104,102 @@ def provenance(repo):
     )
 
 
+def verify_source(repo, revision, flow="taylor_green", probes=False):
+    """Exact clean harness commit, fixed production tree, and reviewed capture helper."""
+    import oracle
+    from tests.validation.multigrid import check_projected_pairs as gate
+
+    harness = repo / "tests/validation/taylor_green"
+    if (Path(__file__).resolve() != harness / "run_case.py"
+            or Path(oracle.__file__).resolve() != harness / "oracle.py"):
+        raise RuntimeError("Wrong runner or oracle checkout")
+    helper = repo / "tests/validation/multigrid/check_projected_pairs.py"
+    if (Path(gate.__file__).resolve() != helper
+            or hashlib.sha256(helper.read_bytes()).hexdigest() != BUILD_CAPTURE_SHA256):
+        raise RuntimeError("Wrong build-capture helper")
+    if gate.preflight(repo, revision, "candidate") != NUMERICAL_REVISION:
+        raise RuntimeError("Wrong production revision")
+    result = provenance(repo)
+    if result["source_tree_sha256"] != SOURCE_SHA256:
+        raise RuntimeError("Wrong numerical source fingerprint")
+    result["build_capture_sha256"] = BUILD_CAPTURE_SHA256
+    if probes:
+        import shear_probes
+        module = harness / "shear_probes.py"
+        if (Path(shear_probes.__file__).resolve() != module
+                or hashlib.sha256(module.read_bytes()).hexdigest() != SHEAR_PROBES_SHA256):
+            raise RuntimeError("Wrong shear_probes module checkout or content")
+        result["shear_probes_sha256"] = SHEAR_PROBES_SHA256
+    if flow == "shear_centered":
+        import shear_centered
+        module = harness / "shear_centered.py"
+        if (Path(shear_centered.__file__).resolve() != module
+                or hashlib.sha256(module.read_bytes()).hexdigest() != SHEAR_CENTERED_SHA256):
+            raise RuntimeError("Wrong shear_centered module checkout or content")
+        result["shear_centered_sha256"] = SHEAR_CENTERED_SHA256
+    if flow in ("shear_axis_square", "shear_centered"):
+        import shear_axis_square
+        module = harness / "shear_axis_square.py"
+        if (Path(shear_axis_square.__file__).resolve() != module
+                or hashlib.sha256(module.read_bytes()).hexdigest() != SHEAR_AXIS_SQUARE_SHA256):
+            raise RuntimeError("Wrong shear_axis_square module checkout or content")
+        result["shear_axis_square_sha256"] = SHEAR_AXIS_SQUARE_SHA256
+    if flow == "shear_postg":
+        import shear_postg
+        module = harness / "shear_postg.py"
+        if (Path(shear_postg.__file__).resolve() != module
+                or hashlib.sha256(module.read_bytes()).hexdigest() != SHEAR_POSTG_SHA256):
+            raise RuntimeError("Wrong shear_postg module checkout or content")
+        result["shear_postg_sha256"] = SHEAR_POSTG_SHA256
+    if flow == "shear_wide_x":
+        import shear_wide_x
+        module = harness / "shear_wide_x.py"
+        if (Path(shear_wide_x.__file__).resolve() != module
+                or hashlib.sha256(module.read_bytes()).hexdigest() != SHEAR_WIDE_X_SHA256):
+            raise RuntimeError("Wrong shear_wide_x module checkout or content")
+        result["shear_wide_x_sha256"] = SHEAR_WIDE_X_SHA256
+    if flow == "shear_twin":
+        import shear_twin
+        module = harness / "shear_twin.py"
+        if (Path(shear_twin.__file__).resolve() != module
+                or hashlib.sha256(module.read_bytes()).hexdigest() != SHEAR_TWIN_SHA256):
+            raise RuntimeError("Wrong shear_twin module checkout or content")
+        result["shear_twin_sha256"] = SHEAR_TWIN_SHA256
+    if flow in ("shear_nested", "shear_twin", "shear_wide_x", "shear_postg"):
+        import shear_nested
+        module = harness / "shear_nested.py"
+        if (Path(shear_nested.__file__).resolve() != module
+                or hashlib.sha256(module.read_bytes()).hexdigest() != SHEAR_NESTED_SHA256):
+            raise RuntimeError("Wrong shear_nested module checkout or content")
+        result["shear_nested_sha256"] = SHEAR_NESTED_SHA256
+    if flow in ("shear_wave", "shear_nested", "shear_twin", "shear_wide_x", "shear_postg", "shear_axis_square", "shear_centered"):
+        import shear_wave
+        module = harness / "shear_wave.py"
+        if (Path(shear_wave.__file__).resolve() != module
+                or hashlib.sha256(module.read_bytes()).hexdigest() != SHEAR_WAVE_SHA256):
+            raise RuntimeError("Wrong shear_wave module checkout or content")
+        result["shear_wave_sha256"] = SHEAR_WAVE_SHA256
+    return result
+
+
+def build_capture(report, save):
+    from tests.validation.multigrid.check_projected_pairs import capture_builds
+    return capture_builds(report, save)
+
+
+def runtime_identity(ctx):
+    import pycuda
+    import pycuda.driver as cuda
+
+    nvcc = shutil.which("nvcc") or "/usr/local/cuda/bin/nvcc"
+    return dict(device=dict(name=ctx.device.name(), pci_bus_id=ctx.device.pci_bus_id(),
+                            capability=list(ctx.device.compute_capability()),
+                            driver=cuda.get_driver_version(), runtime=list(cuda.get_version())),
+                nvcc_path=str(Path(nvcc).resolve()),
+                nvcc_version=subprocess.check_output([nvcc, "--version"], text=True).strip(),
+                python=sys.version, numpy=np.__version__, pycuda=pycuda.VERSION_TEXT)
+
+
 def config(n, re):
     from CelerisLab.config import LBMConfig
 
@@ -71,19 +237,123 @@ def workload(masks, base_steps):
 def main():
     p = argparse.ArgumentParser(description=__doc__)
     p.add_argument("--repo", type=Path, required=True)
+    p.add_argument("--expected-revision", required=True)
+    p.add_argument("--run-gpu", action="store_true")
+    p.add_argument("--dry-run", action="store_true")
     p.add_argument("--re", type=int, choices=[100, 1000], required=True)
-    p.add_argument("--n", type=int, choices=[32, 64, 128, 256], required=True)
+    p.add_argument("--n", type=int, choices=[32, 64, 128, 256, 512], required=True)
     p.add_argument("--depth", type=int, choices=[1, 2, 3], required=True)
     p.add_argument("--output", type=Path, required=True)
+    p.add_argument("--explosion", choices=["constant", "projected_linear"], default="constant")
+    p.add_argument("--diagnostic",
+                   choices=[SCALED_DIAGNOSTIC, SCALED_SHEAR, NESTED_SHEAR, TWIN_SHEAR,
+                            WIDE_X_SHEAR, POSTG_SHEAR, AXIS_SQUARE, CENTERED_SQUARE],
+                   help="explicit four-case N256/fine512 same-placement diagnostic "
+                        "(scaled_n256: Taylor-Green; scaled_shear_n256: shear wave) or the "
+                        "fixed three-level/two-region shear preset (nested_shear_n128) "
+                        "or its depth-2 twin (twin_shear_n128), or the single projected "
+                        "x-gap-width contrast (wide_x_shear_n128), or three-case POST-G "
+                        "initialization counterfactual (postg_shear_n128), or short square "
+                        "orientation diagnostic (axis_square_shear_n128)")
+    p.add_argument("--test-reconstruction", choices=["current", "centered_face_v1"],
+                   help="required only for centered_face_square_n128; private test build")
+    p.add_argument("--probe-trace", action="store_true",
+                   help="signed interface-probe trace (nested U128/U512/projected d3, "
+                        "twin projected d2, wide-x projected d3, POST-G three-case set, "
+                        "axis-square four-case set); "
+                        "mechanism diagnostic, no gates")
+    p.add_argument("--final-snapshot", action="store_true",
+                   help="nested_shear_n128 projected depth-3 only: final macro snapshot")
+    p.add_argument("--early-pressure", action="store_true",
+                   help="also save 65 scalar pressure samples at t*=k*.001875, k=0..64")
+    p.add_argument("--flow", choices=["taylor_green", "shear_wave"], default="taylor_green")
     args = p.parse_args()
-    if not os.environ.get("CUDA_VISIBLE_DEVICES"):
-        p.error("Explicit physical CUDA_VISIBLE_DEVICES selection required")
+    centered = args.diagnostic == CENTERED_SQUARE
+    if centered != (args.test_reconstruction is not None):
+        p.error("--test-reconstruction is required only for centered_face_square_n128")
+    if centered:
+        import shear_centered
+        if (args.n, args.depth, args.test_reconstruction) not in shear_centered.CASES:
+            p.error("centered comparison requires one of its four fixed cases")
+        if args.explosion != ("constant" if args.depth == 1 else "projected_linear"):
+            p.error("centered comparison uses constant uniforms and projected refined cases")
+    axis_square = args.diagnostic in (AXIS_SQUARE, CENTERED_SQUARE)
+    nested = args.diagnostic == NESTED_SHEAR
+    wide_x = args.diagnostic == WIDE_X_SHEAR
+    postg = args.diagnostic == POSTG_SHEAR
+    if (wide_x or postg or axis_square) and not args.probe_trace:
+        p.error(f"{args.diagnostic} requires --probe-trace")
+    if args.flow == "shear_wave" and (args.re != 100 or (args.depth == 3 and not (nested or wide_x or postg))
+                                      or args.early_pressure):
+        p.error("shear_wave requires --re 100, depth 1 or 2 and no --early-pressure")
+    probe_cases = {(NESTED_SHEAR, 128, 1, "constant"), (NESTED_SHEAR, 512, 1, "constant"),
+                   (NESTED_SHEAR, 128, 3, "projected_linear"),
+                   (TWIN_SHEAR, 128, 2, "projected_linear"),
+                   (WIDE_X_SHEAR, 128, 3, "projected_linear"),
+                   (POSTG_SHEAR, 128, 1, "constant"), (POSTG_SHEAR, 512, 1, "constant"),
+                   (POSTG_SHEAR, 128, 3, "projected_linear")}
+    if axis_square:
+        import shear_axis_square
+        probe_cases.update((args.diagnostic, n, depth, scheme)
+                           for _, n, depth, scheme in shear_axis_square.CASES)
+    if args.probe_trace and (args.final_snapshot or (
+            args.diagnostic, args.n, args.depth, args.explosion) not in probe_cases):
+        p.error("--probe-trace requires a fixed nested, twin, wide-x, POST-G or axis-square case, "
+                "without --final-snapshot")
+    if args.final_snapshot and not (nested and args.depth == 3
+                                    and args.explosion == "projected_linear"):
+        p.error("--final-snapshot requires nested_shear_n128 projected depth 3")
+    initial, metrics, limits, initialization = flow_functions(args.flow)
+    if args.output.exists():
+        p.error("Output already exists; choose a new path to retain prior evidence")
+    if args.explosion != "constant" and args.depth != 2 and not (nested or wide_x or postg):
+        p.error("projected_linear requires depth 2")
+    twin = args.diagnostic == TWIN_SHEAR
+    if axis_square:
+        preset = shear_axis_square
+        if args.flow != "shear_wave" or (args.re, args.n, args.depth, args.explosion) not in preset.CASES:
+            p.error("axis_square_shear_n128 requires one of its four Re100 shear cases")
+        initial, metrics, limits, initialization = preset.initial, preset.metrics, {}, preset.INITIALIZATION
+    elif nested or twin or wide_x or postg:
+        import shear_nested
+        import shear_twin
+        import shear_wide_x
+        preset = shear_wide_x if wide_x else shear_nested if nested else shear_twin
+        if postg:
+            import shear_postg
+            preset = shear_postg
+            initial, initialization = preset.initial, preset.INITIALIZATION
+        if args.flow != "shear_wave":
+            p.error(f"--diagnostic {args.diagnostic} requires --flow shear_wave")
+        if (args.re, args.n, args.depth, args.explosion) not in preset.CASES:
+            p.error(f"{args.diagnostic} requires one of its fixed Re100 cases")
+    elif args.diagnostic:
+        cases = {(256, 1, "constant"), (512, 1, "constant"),
+                 (256, 2, "constant"), (256, 2, "projected_linear")}
+        flow = "shear_wave" if args.diagnostic == SCALED_SHEAR else "taylor_green"
+        if args.flow != flow:
+            p.error(f"--diagnostic {args.diagnostic} requires --flow {flow}")
+        if args.diagnostic == SCALED_DIAGNOSTIC and (
+                args.re != 100 or (args.n, args.depth, args.explosion) not in cases
+                or not args.early_pressure):
+            p.error("scaled_n256 requires one of its four Re100 cases and --early-pressure")
+        if args.diagnostic == SCALED_SHEAR and (args.n, args.depth, args.explosion) not in cases:
+            p.error("scaled_shear_n256 requires one of its four Re100 cases")
+    elif args.n == 512:
+        p.error("N512 requires --diagnostic scaled_n256, scaled_shear_n256 or nested_shear_n128")
+    selected = os.environ.get("CUDA_VISIBLE_DEVICES", "")
+    if not args.dry_run and (not args.run_gpu or not selected or "," in selected or selected == "-1"):
+        p.error("--run-gpu and exactly one explicit CUDA_VISIBLE_DEVICES are required")
     repo = args.repo.resolve()
-    sys.path.insert(0, str(repo / "src"))
-    import CelerisLab
-
-    if Path(CelerisLab.__file__).resolve() != repo / "src/CelerisLab/__init__.py":
-        raise RuntimeError("Wrong imported source checkout")
+    sys.path[:0] = [str(repo / "src"), str(repo)]
+    source_flow = ("shear_centered" if centered else "shear_axis_square" if axis_square else "shear_postg" if postg else "shear_wide_x" if wide_x else "shear_nested" if nested
+                   else "shear_twin" if twin else args.flow)
+    source = verify_source(repo, args.expected_revision, source_flow, probes=args.probe_trace)
+    runtime = runtime_source(repo)
+    if args.dry_run:
+        print(json.dumps(dict(source=source, runtime_source=runtime, dry_run=True,
+                              **({"diagnostic": args.diagnostic} if args.diagnostic else {}))))
+        return 0
     from CelerisLab.cuda.context import CudaContext
     from CelerisLab.lbm.blocks import BlockLayout2D
     from CelerisLab.lbm.block_stepper import PeriodicBlockStepper
@@ -92,13 +362,28 @@ def main():
     from CelerisLab.lbm.hierarchy import build_hierarchy, leaf_partition
 
     cfg = config(args.n, args.re)
-    refinements = [] if args.depth == 1 else rectangles(args.n, args.depth)
+    if args.depth == 1:
+        refinements = []
+    elif nested or twin or wide_x or postg or axis_square:
+        refinements = [list(level) for level in preset.REFINEMENTS]
+    else:
+        refinements = rectangles(args.n, args.depth)
     h = build_hierarchy(cfg, refinements)
     np.testing.assert_array_equal(leaf_partition(h), np.ones((args.n, args.n)))
     masks = [k == ACTIVE for k in h.kinds]
+    main_steps, early_steps = sample_steps(args.n, args.early_pressure)
+    if axis_square:
+        main_steps = [0, preset.case_steps(args.n)[-1]]
     report = dict(
         schema=1,
-        source=provenance(repo),
+        source=source,
+        numerical_revision=NUMERICAL_REVISION,
+        reference_harness=REFERENCE_HARNESS,
+        actual_build_sidecars=[],
+        runtime_identity=None,
+        runtime_source=runtime,
+        historical_baseline_revision="9805383f9c50d867e8555471baf5dbda8333a652",
+        explosion=args.explosion,
         n=args.n,
         re_L=args.re,
         depth=args.depth,
@@ -107,32 +392,67 @@ def main():
         mach=U * np.sqrt(3),
         viscosity=cfg.viscosity,
         tau_by_level=[0.5 + 3 * c.viscosity for c in h.configs],
-        initialization="physical FP64 equilibrium G at actual cell centers; rho=1+3p",
-        cuda_visible_devices=os.environ["CUDA_VISIBLE_DEVICES"],
+        initialization=initialization,
+        numerics=dict(lattice_model=cfg.lattice_model, collision=cfg.collision,
+                      store_precision=cfg.store_precision, ddf_shifting=cfg.ddf_shifting,
+                      streaming=cfg.streaming, les_enabled=cfg.les_enabled,
+                      boundary="periodic", block_shape=[8, 8],
+                      sample_phase="postcollision G at root synchronization"),
+        cuda_visible_devices=selected,
         device_id=0,
-        limits=LIMITS,
-        workload=workload(masks, round(TIMES[-1] * args.n / U)),
+        limits=limits,
+        workload=workload(masks, main_steps[-1]),
         rows=[],
+        early_pressure=dict(enabled=args.early_pressure, rows=[],
+                            sampled_max_pressure_l2=None),
         completed=False,
     )
+    if args.flow != "taylor_green":
+        import shear_wave
+        wave = preset if axis_square else shear_wave
+        report.update(flow=args.flow, mode=list(wave.MODE),
+                      polarization=wave.E.tolist(), angle_deg=wave.ANGLE_DEG,
+                      phase=wave.PHI, eps=wave.eps(args.n))
+    if args.diagnostic:
+        report["diagnostic"] = args.diagnostic
+    if postg:
+        report.update(initialization_id=preset.INITIALIZATION_ID, qualification_eligible=False,
+                      screening_scope="descriptive scalar screens only; no qualification assessor")
+    if axis_square:
+        report.update(initialization_id=preset.INITIALIZATION_ID, qualification_eligible=False,
+                      reference_harness=None, historical_baseline_revision=None,
+                      screening_scope="no numerical gates; short orientation diagnostic")
+    if centered:
+        report.update(test_reconstruction=args.test_reconstruction, observed_shifted_max=0.,
+                      reconstruction=dict(variant="current"),
+                      screening_scope="predeclared centered-witness diagnostic; separate four-case comparison")
     args.output.parent.mkdir(parents=True, exist_ok=True)
-    save = lambda: args.output.write_text(
-        json.dumps(report, indent=2, allow_nan=False) + "\n"
-    )
+    def save():
+        temporary = args.output.with_suffix(args.output.suffix + ".tmp")
+        text = json.dumps(report, indent=2, allow_nan=False) + "\n"
+        if len(text.encode()) > 1024 * 1024:
+            raise RuntimeError("Scalar receipt exceeds 1 MiB cap")
+        temporary.write_text(text)
+        temporary.replace(args.output)
+
     save()
     started = time.monotonic()
-    with CudaContext(0) as ctx:
-        if args.depth == 1:
-            layout = BlockLayout2D.build(args.n, args.n, 8, 8, periodic=(True, True))
-            run = PeriodicBlockStepper(cfg, layout, context=ctx)
-        else:
-            run = FixedPatchStepper(
-                cfg,
-                context=ctx,
-                coarse_boundary="periodic",
-                refinements=refinements,
-                level_blocks=[(8, 8)] * args.depth,
-            )
+    with CudaContext(0) as ctx, build_capture(report, save):
+        report["runtime_identity"] = runtime_identity(ctx)
+        save()
+        with (shear_centered.private_build(h, report, args.test_reconstruction) if centered else nullcontext()):
+            if args.depth == 1:
+                layout = BlockLayout2D.build(args.n, args.n, 8, 8, periodic=(True, True))
+                run = PeriodicBlockStepper(cfg, layout, context=ctx)
+            else:
+                run = FixedPatchStepper(
+                    cfg,
+                    context=ctx,
+                    coarse_boundary="periodic",
+                    refinements=refinements,
+                    level_blocks=[(8, 8)] * args.depth,
+                    explosion=args.explosion,
+                )
         with run:
             run.initialize(
                 *[
@@ -141,24 +461,61 @@ def main():
                 ]
             )
             initial_mass = None
-            for tstar in TIMES:
-                step = round(tstar * args.n / U)
+            probe_steps = set()
+            if args.probe_trace:
+                import shear_probes
+                if axis_square:
+                    shear_probes = preset
+                probe_root = dict(zip(shear_probes.case_steps(args.n), shear_probes.STEPS))
+                probe_steps = set(probe_root)
+                probes = shear_probes.select(masks, args.n)
+                report["probe_trace"] = shear_probes.new_trace(
+                    probes, cfg.viscosity, [args.diagnostic, args.n, args.depth, args.explosion])
+            for step in sorted(set(main_steps + early_steps) | probe_steps):
                 run.step(step - run.step_count)
-                arrays = (run.download(),) if args.depth == 1 else run.download()
-                row = metrics(arrays, masks, step, args.n, cfg.viscosity, initial_mass)
+                if step in probe_steps:
+                    trace = report["probe_trace"]
+                    if "error" not in trace:
+                        arrays = (run.download(),) if args.depth == 1 else run.download()
+                        try:
+                            if centered:
+                                report["observed_shifted_max"] = max(report["observed_shifted_max"], shear_centered.observe(arrays))
+                            values = shear_probes.sample(arrays, probes)
+                            shear_probes.validate_row(values, len(probes))
+                        except (ValueError, ZeroDivisionError) as error:
+                            report["probe_trace"] = dict(error=str(error))
+                        else:
+                            trace["steps"].append(probe_root[step])  # root-physical step
+                            trace["values"].append(values)
+                    if step not in main_steps and step not in early_steps:
+                        continue  # probe-only step: no qualification metrics
+                row = sample(run, masks, step, args.n, cfg.viscosity, initial_mass,
+                             metrics, args.depth)
                 row["step"] = step
                 if initial_mass is None:
                     initial_mass = row["mass"]
-                report["rows"].append(row)
+                if step in main_steps:
+                    report["rows"].append(row)
+                if args.final_snapshot and step == main_steps[-1]:
+                    # Optional macro-only snapshot; scalar receipt stays authoritative.
+                    report["final_snapshot"] = shear_nested.write_snapshot(
+                        args.output.with_name(args.output.stem + ".final_macro.npz"),
+                        run.download(), masks,
+                        shear_nested.snapshot_meta(step, cfg.viscosity, args.explosion,
+                                                   source.get("revision")))
+                if step in early_steps:
+                    trace = report["early_pressure"]
+                    trace["rows"].append({key: row[key] for key in ("step", "tstar", "pressure_l2")})
+                    trace["sampled_max_pressure_l2"] = max(r["pressure_l2"] for r in trace["rows"])
                 save()
                 print(
                     json.dumps(
                         dict(
-                            event="PROGRESS",
+                            event="PROGRESS" if step in main_steps else "EARLY_PRESSURE",
                             n=args.n,
                             re_L=args.re,
                             depth=args.depth,
-                            **row,
+                            **(row if step in main_steps else report["early_pressure"]["rows"][-1]),
                         )
                     ),
                     flush=True,
@@ -167,8 +524,8 @@ def main():
                     # Exercise real kernels/halos/transfers on every level before READY.
                     # This is the first measured trajectory step, not discarded warmup.
                     run.step(1)
-                    probe = (run.download(),) if args.depth == 1 else run.download()
-                    metrics(probe, masks, 1, args.n, cfg.viscosity, initial_mass)
+                    sample(run, masks, 1, args.n, cfg.viscosity, initial_mass,
+                           metrics, args.depth, "READY")
                     report["ready_after_step"] = 1
                     save()
                     print(
@@ -184,11 +541,16 @@ def main():
                         ),
                         flush=True,
                     )
+    if args.probe_trace and "error" not in report["probe_trace"]:
+        try:
+            report["probe_trace"]["bytes"] = shear_probes.validate(report["probe_trace"])
+        except ValueError as error:  # keep the scalar receipt; drop an invalid trace
+            report["probe_trace"] = dict(error=str(error))
     report.update(
         completed=True,
         seconds=time.monotonic() - started,
-        screening_pass=all(
-            row[key] <= limit for row in report["rows"] for key, limit in LIMITS.items()
+        screening_pass=None if axis_square else all(
+            row[key] <= limit for row in report["rows"] for key, limit in limits.items()
         ),
     )
     save()
@@ -198,6 +560,8 @@ def main():
         ),
         flush=True,
     )
+    if axis_square:
+        return int("error" in report["probe_trace"])
     return 0 if report["screening_pass"] else 1
 
 

tests/validation/taylor_green/shear_axis_square.py

@@ -0,0 +1,136 @@
+"""Short axis-shear orientation diagnostic; no physical acceptance gates."""
+
+import json
+import numpy as np
+
+import shear_wave as sw
+from shear_probes import sample, validate_row, TRACE_MAX_BYTES
+from oracle import CX, CY, W, U, centers
+
+ROOT_N = 128
+MODE, E, PHI, ANGLE_DEG = (2, 0), np.array([0., 1.]), np.pi / 4, 0.
+REFINEMENTS = [[(32, 32, 96, 96)]]
+CASES = ((100, 128, 1, "constant"), (100, 256, 1, "constant"),
+         (100, 128, 2, "constant"), (100, 128, 2, "projected_linear"))
+STEPS = tuple(range(9))
+INITIALIZATION_ID = "postg_first_gradient_v1"
+INITIALIZATION = "physical FP64 axis-shear POST G=feq-(tau-1)A; first-gradient low-Mach CE"
+GROUPS = dict(inner_left=(32, 64), inner_right=(95, 63),
+              inner_bottom=(64, 32), inner_top=(63, 95),
+              outer_left=(31, 64), outer_right=(96, 63),
+              outer_bottom=(64, 31), outer_top=(63, 96))
+
+
+def eps(n):
+    return (4 * np.pi / n)**2
+
+
+def exact(x, t, length, viscosity):
+    """Transverse velocity and physical x derivative in the supplied length units."""
+    k = 4 * np.pi / length
+    amplitude = U * np.exp(-viscosity * k * k * t)
+    return amplitude * np.sin(k * x + PHI), amplitude * k * np.cos(k * x + PHI)
+
+
+def initial(shape, level, length, viscosity):
+    x, _ = centers(shape, level)
+    uy, gradient = exact(x, 0, length, viscosity)
+    tau = .5 + 3 * viscosity * 2**level
+    a = (3 * W * CX * CY)[:, None, None] * gradient * 2.**-level
+    return sw.equilibrium(np.ones_like(uy), np.zeros_like(uy), uy) - (tau - 1) * a
+
+
+def metrics(arrays, masks, t, length, viscosity, initial_mass=None):
+    rho, ux, uy, x, _, w, _ = sw._leaves(arrays, masks)
+    if not np.isclose(w.sum(), length**2, rtol=0, atol=1e-10):
+        raise ValueError("leaf partition does not cover domain once")
+    ey, _ = exact(x, t, length, viscosity)
+    p = (rho - 1) / 3
+    p -= w @ p / w.sum()  # one domain gauge, never the probe mean
+    mass = float(w @ rho)
+    return dict(tstar=t * U / length, mass=mass,
+                mass_relative=0. if initial_mass is None else abs(mass-initial_mass)/initial_mass,
+                velocity_l2=float(np.sqrt(w @ (ux**2 + (uy-ey)**2) / (w @ ey**2))),
+                spurious_pressure_rms=float(np.sqrt(w @ p**2 / w.sum())),
+                rho_min=float(rho.min()), rho_max=float(rho.max()),
+                max_speed=float(np.hypot(ux, uy).max()), leaf_cells=len(rho))
+
+
+def case_steps(n):
+    return [r * (n // ROOT_N) for r in STEPS]
+
+
+def select(masks, n=ROOT_N):
+    """Exact native cells filling eight unit-area groups; no interpolated samples."""
+    if (n, len(masks)) not in ((128, 1), (256, 1), (128, 2)):
+        raise ValueError("unsupported square probe layout")
+    probes = []
+    for name, (x, y) in GROUPS.items():
+        level = int(len(masks) == 2 and name.startswith("inner"))
+        factor = (n // ROOT_N) * 2**level
+        for dy in range(factor):
+            for dx in range(factor):
+                i, j = factor*x + dx, factor*y + dy
+                if not masks[level][j, i]:
+                    raise ValueError("square probe is not ACTIVE")
+                probes.append(dict(group=name, level=level, i=i, j=j,
+                                   center=[(i+.5)/factor, (j+.5)/factor],
+                                   width=1/factor, area=1/factor**2, parity=[i % 2, j % 2]))
+    if len({(p["level"], p["i"], p["j"]) for p in probes}) != len(probes):
+        raise ValueError("duplicate square probes")
+    return probes
+
+
+def new_trace(probes, case_viscosity, case):
+    return dict(schema=1, kind="axis-square orientation diagnostic; no pass gates", case=case,
+                time_unit="root step (N=128)", sample_phase="postcollision G at root synchronization",
+                root_n=ROOT_N, viscosity_root=U*ROOT_N/100, case_viscosity=case_viscosity,
+                mode=list(MODE), phase=PHI, amplitude=U, fields=["rho", "ux", "uy"],
+                probes=probes, steps=[], values=[])
+
+
+def group_moments(trace):
+    """Signed unit-area means; normalize by each group's mean actual-center derivative.
+
+    Momentum is rho*u. Raw density is ungauged. Per-cell parity stays in the trace.
+    U128 samples one center, whereas U256/refined-inner use four different centers.
+    """
+    out = []
+    for step, row in zip(trace["steps"], trace["values"]):
+        values, groups = np.asarray(row).reshape(-1, 3), {}
+        for name in GROUPS:
+            indices = [i for i, p in enumerate(trace["probes"]) if p["group"] == name]
+            probes = [trace["probes"][i] for i in indices]
+            weights = np.array([p["area"] for p in probes])
+            if weights.sum() != 1:
+                raise ValueError("probe group does not have unit area")
+            rho, ux, uy = values[indices].T
+            ey, gradient = exact(np.array([p["center"][0] for p in probes]), step,
+                                 ROOT_N, trace["viscosity_root"])
+            drho, djx, djy = (float(weights @ v) for v in (rho-1, rho*ux, rho*uy-ey))
+            derivative = float(weights @ gradient)
+            groups[name] = dict(drho=drho, djx=djx, djy=djy, mean_duy_dx=derivative,
+                                djx_over_duy_dx=djx/derivative, djy_over_duy_dx=djy/derivative)
+        out.append(dict(root_step=step, groups=groups))
+    return out
+
+
+def validate(trace):
+    if trace["steps"] != list(STEPS) or len(trace["values"]) != len(STEPS):
+        raise ValueError("square trace schedule mismatch")
+    _, n, depth, scheme = trace["case"]
+    if (100, n, depth, scheme) not in CASES or len(trace["probes"]) != (
+            20 if depth == 2 else 8*(n//ROOT_N)**2):
+        raise ValueError("square trace case/count mismatch")
+    for row in trace["values"]:
+        validate_row(row, len(trace["probes"]))
+    trace["group_moments"] = group_moments(trace)
+    size = 0
+    while True:
+        final = len(json.dumps(dict(trace, bytes=size), allow_nan=False).encode())
+        if final == size:
+            break
+        size = final
+    if size > TRACE_MAX_BYTES:
+        raise ValueError("square trace exceeds byte cap")
+    return size

tests/validation/taylor_green/shear_centered.py

@@ -0,0 +1,229 @@
+"""Test-only straight-face centered witness; private CUDA snapshot, frozen source intact."""
+from contextlib import contextmanager
+import hashlib
+import json
+from pathlib import Path
+import numpy as np
+
+import shear_axis_square as axis
+from oracle import CX, CY, W
+
+DIAGNOSTIC = "centered_face_square_n128"
+VARIANT = "centered_face_v1"
+BUILD_SHA256 = "81e880017495190209bd867d4b523a2c243be496ed4681892e4cd789b7ba1f21"
+CASES = ((128, 1, "current"), (256, 1, "current"),
+         (128, 2, "current"), (128, 2, VARIANT))
+# Local arithmetic-derived diagnostic deadbands, NOT accumulated trajectory bounds.
+POP_ENVELOPE, OP_ATOL, OP_RTOL = 1/32, 6e-8, 2e-7
+MARGIN = 2 * np.array([9, 6, 6]) * (OP_ATOL + OP_RTOL * POP_ENVELOPE)
+
+
+def routing(hierarchy):
+    """Square-only mask: full donor quartets, one missing normal axis, legal tangent."""
+    from CelerisLab.lbm.blocks import BlockLayout2D
+    from CelerisLab.lbm.refinement_tables import projected_explosion_tables
+    if hierarchy.depth != 2 or hierarchy.kinds[0].shape != (128, 128):
+        raise ValueError("centered witness requires the fixed two-level square")
+    pair = hierarchy.pairs[0]
+    covered = np.zeros((128, 128), bool); covered[32:96, 32:96] = True
+    if pair.fine_origin != (0., 0.) or not np.array_equal(pair.covered, covered):
+        raise ValueError("wrong centered-witness geometry")
+    layout = BlockLayout2D.build(128, 128, 8, 8, periodic=(True, True))
+    neighbors, offsets = projected_explosion_tables(pair, layout, hierarchy.kinds[0])
+    donors = layout.owner.ravel()[pair.ghost_coarse]
+    off = neighbors.reshape(-1, 2, 2) == donors[:, None, None]
+    disabled = off.all(axis=2)
+    y, x = np.divmod(pair.ghost_coarse, 128)
+    vertical = np.isin(x, [30, 31, 96, 97]) & (y >= 36) & (y < 92)
+    horizontal = np.isin(y, [30, 31, 96, 97]) & (x >= 36) & (x < 92)
+    mask = ((vertical & disabled[:, 0] & ~off[:, 1].any(axis=1)) |
+            (horizontal & disabled[:, 1] & ~off[:, 0].any(axis=1))).astype(np.uint8)
+    for donor in np.unique(pair.ghost_coarse):
+        rows = pair.ghost_coarse == donor
+        if rows.sum() != 4 or len(set(mask[rows])) != 1 or sorted(map(tuple, offsets[rows])) != [(-.25,-.25), (-.25,.25), (.25,-.25), (.25,.25)]:
+            raise ValueError("routing must preserve complete +/- quarter donor quartets")
+    return mask
+
+
+def metadata(mask):
+    return dict(variant=VARIANT, mask_sha256=hashlib.sha256(mask.tobytes()).hexdigest(),
+                ghost_rows=len(mask), selected_rows=int(mask.sum()),
+                rule="diagonal projected correction x2; audited straight faces only")
+
+
+def patch_source(source, mask):
+    """Change only the projected function in the private generated build directory."""
+    anchor = 'extern "C" __global__ void BlockExplodeProjected('
+    position = "        to[index_f(t % TOTAL_CELLS, q)] ="
+    before, kernel = source.split(anchor)
+    body, after = kernel.split("// Targets are receiver-local SOURCE slots", 1)
+    if body.count(position) != 1:
+        raise ValueError("unexpected projected kernel source")
+    flag = "__device__ __constant__ unsigned char centered_face_mask[] = {" + ",".join(map(str, mask)) + "};\n"
+    edit = "        if (centered_face_mask[row] && ex != 0.f && ey != 0.f) { gx *= 2.f; gy *= 2.f; }\n"
+    return before + flag + anchor + body.replace(position, edit + position) + "// Targets are receiver-local SOURCE slots" + after
+
+
+def source_digest(build):
+    digest = hashlib.sha256()
+    for path in sorted(Path(build).rglob("*")):
+        if path.is_file() and path.name != ".celeris-build":
+            digest.update(str(path.relative_to(build)).encode()); digest.update(path.read_bytes())
+    return digest.hexdigest()
+
+
+@contextmanager
+def private_build(hierarchy, report, variant):
+    """No kernel upload/launch monkey-patch; same production function and arguments."""
+    if variant == "current":
+        yield
+        return
+    from CelerisLab.cuda import compiler_v2 as compiler
+    mask = routing(hierarchy)
+    report["reconstruction"] = metadata(mask)
+    original, calls = compiler.generate_config, []
+    def generate(cfg, *args, **kwargs):
+        build = Path(original(cfg, *args, **kwargs))
+        calls.append(cfg.viscosity)
+        if len(calls) == 2:
+            if calls != [.0384, .0768]:
+                raise ValueError("unexpected candidate level configuration")
+            path = build / "blocks.cu"
+            path.write_text(patch_source(path.read_text(), mask))
+            sidecar = build / ".celeris-build"
+            data = json.loads(sidecar.read_text())
+            data.update(source_sha256=source_digest(build), experimental_reconstruction=metadata(mask))
+            sidecar.write_text(json.dumps(data, sort_keys=True))
+        elif len(calls) > 2:
+            raise ValueError("candidate is one adjacent pair only")
+        return str(build)
+    compiler.generate_config = generate
+    try:
+        yield
+        if calls != [.0384, .0768]:
+            raise ValueError("candidate did not build its exact two levels")
+    finally:
+        compiler.generate_config = original
+
+
+def observe(arrays):
+    """Bound observed synchronized ACTIVE values only, not intermediate GPU states."""
+    maximum = max(float(np.nanmax(abs(a - W[:, None, None]))) for a in arrays)
+    if not np.isfinite(maximum) or maximum > POP_ENVELOPE:
+        raise ValueError("observed shifted-population envelope exceeded")
+    return maximum
+
+
+def compare(records, expected_source):
+    """Four fresh receipts; diagnostic screens only, never a physical qualification."""
+    import run_case as rc
+    from assess_projected_pairs import BUILD_SOURCES, NUMERICS, valid_builds, finite_tree
+    from CelerisLab.lbm.hierarchy import build_hierarchy
+    from CelerisLab.lbm.refinement import ACTIVE
+    if not finite_tree(records) or not expected_source.get("revision"):
+        raise ValueError("nonfinite receipt or missing exact source identity")
+    keys = [(r['n'], r['depth'], r.get('test_reconstruction')) for r in records]
+    if keys != list(CASES):
+        raise ValueError("expected ordered fresh U128/U256/current/candidate cases")
+    for r in records:
+        for key in ('source', 'runtime_identity', 'runtime_source', 'cuda_visible_devices'):
+            if not r.get(key) or r[key] != records[0][key]:
+                raise ValueError(f"mixed or missing {key}")
+        if (r['source'] != expected_source or r.get('numerical_revision') != rc.NUMERICAL_REVISION
+                or r.get('numerics') != NUMERICS or r.get('re_L') != 100 or r.get('U') != .03
+                or r.get('polarization') != [0., 1.] or r.get('initialization_id') != axis.INITIALIZATION_ID
+                or r['source'].get('dirty') is not False or r['source'].get('source_tree_sha256') != rc.SOURCE_SHA256
+                or r.get('diagnostic') != DIAGNOSTIC or not r.get('completed')
+                or r.get('qualification_eligible') is not False or r.get('initialization') != axis.INITIALIZATION
+                or r.get('mode') != [2, 0] or r.get('phase') != axis.PHI
+                or r.get('explosion') != ('constant' if r['depth'] == 1 else 'projected_linear')
+                or not 0 <= r.get('observed_shifted_max', np.inf) <= POP_ENVELOPE):
+            raise ValueError("wrong candidate receipt identity or observed envelope")
+        h = build_hierarchy(rc.config(r['n'], 100), [] if r['depth'] == 1 else axis.REFINEMENTS)
+        if r.get('refinements') != ([] if r['depth'] == 1 else [[list(axis.REFINEMENTS[0][0])]]):
+            raise ValueError("wrong geometry")
+        if (r.get('viscosity') != .03*r['n']/100
+                or r.get('tau_by_level') != [.5+3*c.viscosity for c in h.configs]
+                or r.get('workload') != rc.workload([k == ACTIVE for k in h.kinds], 8*(r['n']//128))):
+            raise ValueError("wrong physical scales or workload")
+        builds = r.get('actual_build_sidecars', [])
+        canonical = []
+        for level, build in enumerate(builds):
+            modified = r['test_reconstruction'] == VARIANT and level == 1
+            expected = BUILD_SHA256 if modified else BUILD_SOURCES[r['n']*2**level]
+            if (build.get('source_sha256') != expected
+                    or build.get('experimental_reconstruction') != (metadata(routing(h)) if modified else None)):
+                raise ValueError("wrong actual build or reconstruction identity")
+            # Reuse the frozen build-metadata checker after checking the private-source hash above.
+            canonical.append(dict(build, source_sha256=BUILD_SOURCES[r['n']*2**level]))
+        if not valid_builds(dict(actual_build_sidecars=canonical), r['n'], r['depth']):
+            raise ValueError("invalid architecture, flags, config or PTX digest")
+        if r.get('reconstruction') != (metadata(routing(h)) if r['test_reconstruction'] == VARIANT else dict(variant='current')):
+            raise ValueError("wrong receipt mask identity")
+        trace = r['probe_trace']
+        declared = axis.new_trace(trace['probes'], r['viscosity'], [DIAGNOSTIC, r['n'], r['depth'], r['explosion']])
+        if any(trace.get(k) != v for k,v in declared.items() if k not in ('steps','values')):
+            raise ValueError("wrong trace phase, clock or physical identity")
+        if trace['probes'] != axis.select([k == ACTIVE for k in h.kinds], r['n']):
+            raise ValueError("wrong actual probe cells")
+        if trace.get("bytes") != axis.validate(trace):
+            raise ValueError("trace serialized byte count mismatch")
+        if np.min(np.asarray(trace["values"])[:,0::3]) <= 0:
+            raise ValueError("nonpositive sampled density")
+        if [row['step'] for row in r['rows']] != [0, 8*(r['n']//128)] or not all(rc.finite_row(v) for v in r['rows']):
+            raise ValueError("invalid scalar rows")
+        if min(row['rho_min'] for row in r['rows']) <= 0:
+            raise ValueError("nonpositive density")
+    current, candidate = records[2:]
+    if current['probe_trace']['values'][0] != candidate['probe_trace']['values'][0]:
+        raise ValueError("candidate/current initial samples differ; cancellation invalid")
+    vectors = []
+    for r in records:
+        groups = axis.group_moments(r['probe_trace'])
+        vectors.append(np.array([[[row['groups'][name][key] for key in ('drho','djx','djy')]
+                                  for name in axis.GROUPS] for row in groups]))
+    # Inner quadrature matches U256; outer quadrature matches U128.
+    uniform = vectors[1].copy(); uniform[:, 4:] = vectors[0][:, 4:]
+    residual = [v-v[0]-uniform+uniform[0] for v in vectors[2:]]
+    old, new = residual
+    checks = dict(bottom_step1_clear=abs(old[1,2,1])-abs(new[1,2,1]) > MARGIN[1],
+                  top_step1_nonworse=abs(new[1,3,1]) <= abs(old[1,3,1])+MARGIN[1])
+    for face, indices in [('bottom',[2,6]), ('top',[3,7])]:
+        rms = lambda a: float(np.sqrt(np.mean(a[8,indices,1]**2)))
+        checks[face+'_step8_nonworse'] = rms(new) <= rms(old)+MARGIN[1]
+    checks['vertical_null'] = bool(np.all(abs(new[:,[0,1,4,5]]-old[:,[0,1,4,5]]) <= MARGIN))
+    acoustic = lambda a: np.sqrt(a[...,0]**2/3 + a[...,1]**2 + a[...,2]**2)
+    acoustic_margin = float(np.sqrt(MARGIN[0]**2/3 + MARGIN[1]**2 + MARGIN[2]**2))
+    checks['acoustic_nonworse'] = bool(np.all(acoustic(new) <= acoustic(old)+acoustic_margin))
+    raw_pressure = lambda r: float(np.max(abs(np.asarray(r['probe_trace']['values'])[:,0::3]-1))/3)
+    checks['sampled_pressure_nonworse'] = raw_pressure(candidate) <= raw_pressure(current)+MARGIN[0]/3
+    checks['step8_pressure_nonworse'] = candidate['rows'][-1]['spurious_pressure_rms'] <= current['rows'][-1]['spurious_pressure_rms']+MARGIN[0]/3
+    return dict(qualified=False, advance_to_review=all(checks.values()), checks=checks,
+                moment_deadband=MARGIN.tolist(), deadband_scope="local arithmetic-derived diagnostic; no accumulated error guarantee",
+                groups=list(axis.GROUPS), components=['drho','djx','djy'],
+                current_signed_residual=old.tolist(), candidate_signed_residual=new.tolist(),
+                raw_current=vectors[2].tolist(), raw_candidate=vectors[3].tolist(),
+                group_moments=[axis.group_moments(r['probe_trace']) for r in records],
+                significant_sign_flips=((old*new < 0) & (abs(old)>MARGIN) & (abs(new)>MARGIN)).tolist(),
+                top_step1_below_deadband=bool(abs(old[1,3,1]) <= MARGIN[1]),
+                note="Absolute reduction with sign retained; top below deadband may be inconclusive.")
+
+
+def main():
+    import argparse
+    p = argparse.ArgumentParser(description=__doc__)
+    p.add_argument("--repo", required=True, type=Path)
+    p.add_argument("--expected-revision", required=True)
+    p.add_argument("receipts", nargs=4, type=Path, help="U128 U256 current candidate, in order")
+    p.add_argument("--output", required=True, type=Path)
+    args = p.parse_args()
+    import run_case as rc
+    source = rc.verify_source(args.repo.resolve(), args.expected_revision, "shear_centered", probes=True)
+    result = compare([json.loads(path.read_text()) for path in args.receipts], source)
+    with args.output.open("x") as stream:
+        json.dump(result, stream, indent=2, allow_nan=False)
+    return 0 if result["advance_to_review"] else 1
+
+
+if __name__ == "__main__":
+    raise SystemExit(main())

tests/validation/taylor_green/shear_nested.py

@@ -0,0 +1,174 @@
+"""Fixed three-level/two-region shear preset (opt-in nested_shear_n128).
+
+Four fresh cases: U128, U512 (finest control = 4N), constant R128 depth 3,
+projected R128 depth 3. Same wave, phase, Re100/U=0.03, initialization, five
+sample times, eps(root N), limits and floors as shear_wave. This changes
+placement and refined volume as well as depth: no isolated-level cost or
+resolution-trend label. shear_wave.py is reused unchanged (historical receipt
+identities stay valid); only the depth/finest-control contract is generalized
+here.
+"""
+
+import hashlib
+import json
+from pathlib import Path
+
+import numpy as np
+
+import shear_wave as sw
+from oracle import CX, CY, U, centers
+
+ROOT_N = 128
+DEPTH = 3
+FINEST_FACTOR = 2 ** (DEPTH - 1)  # finest-spacing uniform control is 4N
+# Parent-frame (x0, y0, x1, y1) rectangles; level-wide, zero-origin unions.
+REFINEMENTS = [
+    [(16, 16, 60, 112), (68, 24, 112, 120)],     # L0 -> L1, root coordinates
+    [(44, 44, 108, 212), (148, 60, 212, 228)],   # L1 -> L2, L1 coordinates
+]
+CASES = ((100, ROOT_N, 1, "constant"), (100, FINEST_FACTOR * ROOT_N, 1, "constant"),
+         (100, ROOT_N, DEPTH, "constant"), (100, ROOT_N, DEPTH, "projected_linear"))
+ROOT_STEPS = 16 * ROOT_N
+LEAVES = [7936, 12288, 86016]
+HOPS = [ROOT_STEPS * 2**level for level in range(DEPTH)]  # [2048, 4096, 8192]
+WORK = sum(c * h for c, h in zip(LEAVES, HOPS))           # 771227648 per refined case
+NU = [U * ROOT_N / sw.RE * 2**level for level in range(DEPTH)]  # [.0384, .0768, .1536]
+TAU = [0.5 + 3 * nu for nu in NU]                                # [.6152, .7304, .9608]
+SNAPSHOT_MAX_BYTES = 8 * 1024 * 1024
+SNAPSHOT_KEYS = ("level", "i", "j", "rho", "ux", "uy", "meta")
+
+
+def leaf_masks():
+    """Independent numpy leaf masks of the fixed preset (root, L1, L2 level-wide grids)."""
+    masks, covered = [], None
+    for level in range(DEPTH):
+        size = ROOT_N * 2**level
+        inside = np.ones((size, size), bool) if level == 0 else covered
+        if level < DEPTH - 1:
+            child = np.zeros((size, size), bool)
+            for x0, y0, x1, y1 in REFINEMENTS[level]:
+                child[y0:y1, x0:x1] = True
+            masks.append(inside & ~child)
+            covered = np.kron(child, np.ones((2, 2), bool))
+        else:
+            masks.append(inside)
+    return masks
+
+
+def assess(base_control, finest_control, refined):
+    """shear_wave.assess generalized to depth 3 with a 4N finest control.
+
+    Same summaries, screens, budgets and outcome semantics; only the
+    (depth, finest-control) shape contract differs.
+    """
+    if base_control is None or finest_control is None or not refined:
+        return dict(status="INVALID_CONTROL", reason="missing control or refined run")
+    n = base_control["n"]
+    if (base_control["depth"], finest_control["depth"], finest_control["n"]) != (
+            1, 1, FINEST_FACTOR * n):
+        raise ValueError("controls must be uniform N and uniform 4N")
+    if any(r["depth"] != DEPTH or r["n"] != n for r in refined):
+        raise ValueError("refined runs must be depth 3 at root N")
+    if len({r.get("explosion") for r in refined}) != len(refined):
+        raise ValueError("duplicate refined explosion scheme")
+    sources = {repr(r.get("source")) for r in [base_control, finest_control, *refined]}
+    base, fine = sw._usable(base_control), sw._usable(finest_control)
+    if base is None or fine is None or len(sources) != 1:
+        return dict(status="INVALID_CONTROL", reason="incomplete/invalid control or mixed source")
+    controls_pass = base["own_screens_pass"] and fine["own_screens_pass"]
+    report = dict(base_control=base, finest_control=fine, refined={},
+                  controls_pass=controls_pass)
+    statuses = []
+    for r in refined:
+        try:
+            s = sw.summarize(r)
+        except (KeyError, TypeError, ValueError) as error:
+            report["refined"][r["explosion"]] = dict(valid=False, reason=str(error))
+            statuses.append("INVALID_RUN")
+            continue
+        s["valid"] = True
+        s["budget"] = {
+            key: (None if base[key] is None else max(sw.BASELINE_FACTOR * base[key], floor))
+            for key, floor in sw.FLOORS.items()
+        }
+        s["budget_pass"] = all(
+            s[key] is not None and s["budget"][key] is not None and s[key] <= s["budget"][key]
+            for key in sw.FLOORS)
+        s["control_ratios"] = {
+            name: {key: (s[key] / c[key] if s[key] is not None and c[key] else None)
+                   for key in (*sw.FLOORS, "spurious_pressure_rms")}
+            for name, c in (("root", base), ("finest", fine))
+        }
+        s["controlled_pass"] = controls_pass and s["own_screens_pass"] and s["budget_pass"]
+        report["refined"][r["explosion"]] = s
+        statuses.append("PASS" if s["controlled_pass"] else "FAIL")
+    if "INVALID_RUN" in statuses:
+        report["status"] = "INVALID_RUN"
+    elif not controls_pass:
+        report["status"] = "CONTROL_SCREEN_FAIL"
+    else:
+        report["status"] = "PASS" if all(v == "PASS" for v in statuses) else "FAIL"
+    return report
+
+
+def write_snapshot(path, arrays, masks, meta):
+    """Final macro snapshot: packed ACTIVE leaves (level, i, j), rho, ux, uy only.
+
+    No populations, no restart state, no time series. Returns the receipt block;
+    a file over SNAPSHOT_MAX_BYTES is removed and reported, never kept.
+    """
+    path = Path(path)
+    if path.exists():
+        raise FileExistsError(path)
+    cols = {k: [] for k in ("level", "i", "j", "rho", "ux", "uy")}
+    counts = []
+    for level, (g, mask) in enumerate(zip(arrays, masks)):
+        if g.shape != (9, *mask.shape):
+            raise ValueError("population/mask shape mismatch")
+        values = g[:, mask].astype(float)
+        rho = values.sum(axis=0)
+        j, i = np.nonzero(mask)  # row = y index, column = x index
+        cols["level"].append(np.full(rho.size, level, np.uint8))
+        cols["i"].append(i.astype(np.uint16))
+        cols["j"].append(j.astype(np.uint16))
+        cols["rho"].append(rho)
+        cols["ux"].append(CX @ values / rho)
+        cols["uy"].append(CY @ values / rho)
+        counts.append(int(rho.size))
+    packed = {k: np.concatenate(v) for k, v in cols.items()}
+    if not all(np.isfinite(packed[k]).all() for k in ("rho", "ux", "uy")):
+        raise FloatingPointError("nonfinite snapshot macros")
+    meta = dict(meta, leaf_counts=counts, cell_center="h*(index+0.5), h=2**-level",
+                fields="rho, ux, uy from FP64 physical populations at ACTIVE leaves")
+    with path.open("xb") as handle:
+        np.savez_compressed(handle, meta=np.array(json.dumps(meta, sort_keys=True)), **packed)
+    size = path.stat().st_size
+    block = dict(file=path.name, bytes=size, leaf_counts=counts, max_bytes=SNAPSHOT_MAX_BYTES,
+                 step=meta.get("step"), tstar=meta.get("tstar"))
+    if size > SNAPSHOT_MAX_BYTES:
+        path.unlink()
+        return dict(block, kept=False, sha256=None, reason="exceeds snapshot byte cap")
+    block.update(kept=True, sha256=hashlib.sha256(path.read_bytes()).hexdigest())
+    return block
+
+
+def read_snapshot(path):
+    """Validate a snapshot: exact keys, no populations, consistent packed arrays."""
+    with np.load(path, allow_pickle=False) as data:
+        if tuple(sorted(data.files)) != tuple(sorted(SNAPSHOT_KEYS)):
+            raise ValueError("unexpected snapshot contents")
+        out = {k: data[k] for k in data.files}
+    meta = json.loads(str(out.pop("meta")))
+    n = len(out["rho"])
+    if any(len(v) != n for v in out.values()) or sum(meta["leaf_counts"]) != n:
+        raise ValueError("inconsistent snapshot arrays")
+    return meta, out
+
+
+def snapshot_meta(step, viscosity, explosion, source_revision):
+    """Exact time/phase/config identity stored inside the snapshot."""
+    return dict(step=step, tstar=step * U / ROOT_N, phase=sw.PHI, mode=list(sw.MODE),
+                polarization=sw.E.tolist(), amplitude=U, re_L=sw.RE, n=ROOT_N, depth=DEPTH,
+                explosion=explosion, viscosity=viscosity, tau_by_level=TAU,
+                refinements=REFINEMENTS, source_revision=source_revision,
+                origin="level-wide zero-origin grids", time="root synchronization, postcollision")

tests/validation/taylor_green/shear_postg.py

@@ -0,0 +1,34 @@
+"""First-gradient POST-G initialization counterfactual, not a qualification preset.
+
+PRE F = feq - tau*A; POST G = feq - (tau - 1)*A. This low-Mach,
+first-order Chapman-Enskog approximation is not an exact discrete eigenstate.
+The physical viscous-stress factor tau - 1/2 is not the raw POST-G factor.
+"""
+
+import numpy as np
+
+import shear_nested as nested
+import shear_wave as sw
+from oracle import CX, CY, W, U, centers
+
+REFINEMENTS = nested.REFINEMENTS
+CASES = ((100, 128, 1, "constant"), (100, 512, 1, "constant"),
+         (100, 128, 3, "projected_linear"))
+INITIALIZATION_ID = "postg_first_gradient_v1"
+INITIALIZATION = (
+    "physical FP64 POST G=feq-(tau-1)A at actual cell centers; "
+    "A=3*w*U*cos(theta)*(c.e)*(c.k_level); rho=1; first-gradient low-Mach CE"
+)
+
+
+def initial(shape, level, length, viscosity):
+    """Return physical FP64 G; production initialize owns shifted FP32 encoding."""
+    x, y = centers(shape, level)
+    k = sw.wavevector(length)
+    theta = k[0] * x + k[1] * y + sw.PHI
+    k_level = k * 2.0**-level
+    tau = 0.5 + 3 * viscosity * 2**level
+    ce = CX * sw.E[0] + CY * sw.E[1]
+    ck = CX * k_level[0] + CY * k_level[1]
+    correction = (3 * W * ce * ck)[:, None, None] * U * np.cos(theta)
+    return sw.initial(shape, level, length, viscosity) - (tau - 1) * correction

tests/validation/taylor_green/shear_probes.py

@@ -0,0 +1,134 @@
+"""Signed interface-probe traces for the nested/twin shear presets (mechanism diagnostic).
+
+No pass gates. Native-validated 24-target layout through box 1, in root-128
+physical coordinates, crossing L0->L1 and (nested only) L1->L2 away from corners:
+  horizontal line y = 56 across the vertical faces x = 16 and x = 22;
+  vertical line x = 38 across the horizontal faces y = 16 and y = 22;
+  normal coordinates NORMAL_COORDS on both (nested: 3 L0 + 5 L1 + 4 L2 each).
+Each target maps to the nearest ACTIVE leaf center (tie rule: distance, then
+finer level, then smaller j, then smaller i). Grids differ between cases
+(U128, U512, nested, twin), so actual centers, levels and displacements are
+stored and analytic fields are evaluated at the actual centers.
+Samples are POST-collision G at root synchronization only (root-step units);
+no substep content is observed, and grid-scale alternation can alias.
+"""
+
+import math
+
+import numpy as np
+
+import shear_wave as sw
+from oracle import CX, CY, U
+
+ROOT_N = 128
+NORMAL_COORDS = (12.5, 14.5, 15.5, 16.25, 17.25, 19.25, 20.75, 21.75,
+                 22.125, 23.125, 24.125, 26.125)
+TRANSECTS = {"horizontal_y56": dict(axis=0, other=56.0),   # x varies, y fixed
+             "vertical_x38": dict(axis=1, other=38.0)}     # y varies, x fixed
+STEPS = tuple(range(0, 129)) + tuple(range(1920, 2049))  # root steps, both inclusive
+TRACE_MAX_BYTES = 600_000
+
+
+def points():
+    out = []
+    for name, t in TRANSECTS.items():
+        for along in NORMAL_COORDS:
+            xy = (along, t["other"]) if t["axis"] == 0 else (t["other"], along)
+            out.append((name, along, xy))
+    return out
+
+
+def case_steps(n):
+    """Case lattice steps at the fixed root-physical sample times (U512: 4 per root step)."""
+    return [s * (n // ROOT_N) for s in STEPS]
+
+
+def select(masks, n=ROOT_N):
+    """Nearest ACTIVE leaf center for each target (deterministic tie rule).
+
+    Targets and stored centers are in root-physical units (root cell = 1); a case
+    with root N = n has cell size h = ROOT_N / (n * 2**level) there (U512: 0.25).
+    """
+    if n % ROOT_N:
+        raise ValueError("case root N must be a multiple of 128")
+    probes = []
+    for name, along, (x, y) in points():
+        best = None
+        for level, mask in enumerate(masks):
+            h = ROOT_N / (n * 2 ** level)
+            i0, j0 = int(math.floor(x / h)), int(math.floor(y / h))
+            for j in range(j0 - 2, j0 + 3):
+                for i in range(i0 - 2, i0 + 3):
+                    if 0 <= j < mask.shape[0] and 0 <= i < mask.shape[1] and mask[j, i]:
+                        cx, cy = h * (i + 0.5), h * (j + 0.5)
+                        key = (math.hypot(cx - x, cy - y), -level, j, i)
+                        if best is None or key < best[0]:
+                            best = (key, level, i, j, cx, cy)
+        if best is None:
+            raise ValueError(f"no ACTIVE leaf near target {(x, y)}")
+        _, level, i, j, cx, cy = best
+        probes.append(dict(transect=name, normal=along, point=[x, y], level=level, i=i, j=j,
+                           center=[cx, cy], displacement=[cx - x, cy - y]))
+    if len({(p["level"], p["i"], p["j"]) for p in probes}) != len(probes):
+        raise ValueError("probe targets map to duplicate cells")
+    return probes
+
+
+def sample(arrays, probes):
+    """Flat [rho, ux, uy] per probe from FP64 physical populations."""
+    row = []
+    for p in probes:
+        f = np.asarray(arrays[p["level"]][:, p["j"], p["i"]], dtype=float)
+        rho = float(f.sum())
+        row += [rho, float(CX @ f) / rho, float(CY @ f) / rho]
+    return row
+
+
+def new_trace(probes, case_viscosity, case):
+    """Times/coordinates are root-physical (N=128); nu_root = U*128/Re for all cases."""
+    return dict(schema=1, kind="mechanism diagnostic, no pass gates", case=case,
+                time_unit="root step (N=128)", sample_phase="postcollision G at root synchronization",
+                root_n=ROOT_N, viscosity_root=U * ROOT_N / sw.RE, case_viscosity=case_viscosity,
+                mode=list(sw.MODE), phase=sw.PHI,
+                amplitude=U, fields=["rho", "ux", "uy"], probes=probes, steps=[], values=[])
+
+
+def residuals(trace):
+    """Signed (drho, dux, duy) per step and probe, analytic field at each actual center."""
+    out = []
+    for step, row in zip(trace["steps"], trace["values"]):
+        res = []
+        for n, p in enumerate(trace["probes"]):
+            x, y = p["center"]
+            ux, uy, _ = sw.exact(x, y, step, trace["root_n"], trace["viscosity_root"])
+            rho, vx, vy = row[3 * n: 3 * n + 3]
+            res.append((rho - 1.0, vx - float(ux), vy - float(uy)))
+        out.append(res)
+    return out
+
+
+def validate_row(row, probe_count):
+    """Reject an invalid optional sample before it can enter a scalar receipt."""
+    if len(row) != 3 * probe_count or not all(math.isfinite(v) for v in row):
+        raise ValueError("malformed or nonfinite trace row")
+
+
+def validate(trace):
+    """Exact schedule, finite values, fixed probe count and byte cap."""
+    import json
+    if trace.get("steps") != list(STEPS) or len(trace["values"]) != len(STEPS):
+        raise ValueError("trace steps differ from the fixed schedule")
+    if len(trace["probes"]) != len(NORMAL_COORDS) * len(TRANSECTS):
+        raise ValueError("unexpected probe count")
+    for row in trace["values"]:
+        validate_row(row, len(trace["probes"]))
+    # Include the final byte-count field itself, including its number of digits.
+    size = 0
+    while True:
+        final_size = len(json.dumps(dict(trace, bytes=size), allow_nan=False).encode())
+        if final_size == size:
+            break
+        size = final_size
+    if size > TRACE_MAX_BYTES:
+        raise ValueError(f"trace exceeds {TRACE_MAX_BYTES} bytes ({size})")
+    return size

tests/validation/taylor_green/shear_twin.py

@@ -0,0 +1,36 @@
+"""Depth-2 twin of the nested shear preset (opt-in twin_shear_n128).
+
+Same two L0->L1 boxes as shear_nested, no L2. Four fresh cases: U128, U256
+(finest control = 2N), constant R128 depth 2, projected R128 depth 2; same
+wave, phase, Re100/U=0.03, initialization, times, eps(root N), limits, floors.
+
+Twin vs nested measures the effect of adding this nested L2 refinement.
+Removing L2 also changes the finest spacing and refined volume, so the
+contrast does not isolate abstract depth. Physics is the unchanged depth-2,
+2N-control shear_wave.assess; shear_nested.py stays byte-identical.
+"""
+
+import numpy as np
+
+import shear_nested as nested
+
+ROOT_N = nested.ROOT_N
+DEPTH = 2
+FINEST_FACTOR = 2
+REFINEMENTS = [nested.REFINEMENTS[0]]  # L0 -> L1 only, root coordinates
+CASES = ((100, ROOT_N, 1, "constant"), (100, FINEST_FACTOR * ROOT_N, 1, "constant"),
+         (100, ROOT_N, DEPTH, "constant"), (100, ROOT_N, DEPTH, "projected_linear"))
+ROOT_STEPS = 16 * ROOT_N
+LEAVES = [7936, 33792]
+HOPS = [ROOT_STEPS * 2**level for level in range(DEPTH)]  # [2048, 4096]
+WORK = sum(c * h for c, h in zip(LEAVES, HOPS))           # 154664960 per refined case
+NU = nested.NU[:DEPTH]
+TAU = nested.TAU[:DEPTH]
+
+
+def leaf_masks():
+    """Independent numpy leaf masks (root complement, full L1 boxes)."""
+    child = np.zeros((ROOT_N, ROOT_N), bool)
+    for x0, y0, x1, y1 in REFINEMENTS[0]:
+        child[y0:y1, x0:x1] = True
+    return [~child, np.kron(child, np.ones((2, 2), bool))]

tests/validation/taylor_green/shear_wave.py

@@ -0,0 +1,312 @@
+"""CPU-only oblique shear-wave reference and composite-leaf diagnostics.
+
+Convention: integer mode MODE=(2,1) on the L x L periodic root domain, so the
+wavevector k = (2*pi/L)*(2,1) points 26.565 deg from +x (mode (1,2) would be
+63.435 deg). Velocity is polarized along E = (-1,2)/sqrt(5), perpendicular to k.
+The frozen Taylor-Green oracle is reused for constants and geometry only.
+"""
+
+import math
+
+import numpy as np
+from oracle import CX, CY, W, U, TIMES, centers
+
+MODE = (2, 1)
+PHI = 0.0
+E = np.array([-MODE[1], MODE[0]], dtype=float) / math.hypot(*MODE)
+ANGLE_DEG = math.degrees(math.atan2(MODE[1], MODE[0]))
+RE = 100  # Re = U L / nu, the same nu as Taylor-Green Re100 at equal N
+FIT_FROM_TSTAR = 0.12  # late-time samples only; reduces startup sensitivity
+INITIALIZATION = (
+    "physical FP64 equilibrium G at actual cell centers; rho=1 (exact p const)"
+)
+# Per-row screens. phase_drift_abs, residual_l2 and the run-level rate screen
+# use eps(n) and are preregistered diagnostic choices, not error bounds.
+LIMITS = dict(velocity_l2=0.05, spurious_pressure_scaled=0.02, mass_relative=1e-5)
+# The comparative pressure budget max(2*control, 0.02) is never below the 0.02
+# absolute ceiling, so it is always redundant; raw control ratios are kept.
+FLOORS = dict(rate_error=0.002, residual_l2=0.002, spurious_pressure_scaled=0.02)
+BASELINE_FACTOR = 2.0
+
+
+def wavevector(length):
+    return 2 * np.pi / length * np.array(MODE, dtype=float)
+
+
+def decay_rate(length, viscosity):
+    """Exact amplitude decay rate per root step: nu |k|^2."""
+    k = wavevector(length)
+    return viscosity * float(k @ k)
+
+
+def eps(n):
+    """(|k| h_root)^2 with h_root = 1: dimensionless, coefficient one."""
+    k = wavevector(n)
+    return float(k @ k)
+
+
+def exact(x, y, t, length, viscosity, amplitude=U):
+    k = wavevector(length)
+    a = amplitude * np.exp(-decay_rate(length, viscosity) * t)
+    s = np.sin(k[0] * x + k[1] * y + PHI)
+    p = np.zeros_like(s)
+    return a * E[0] * s, a * E[1] * s, p  # kinematic pressure, constant
+
+
+def equilibrium(rho, ux, uy):
+    # Same second-order D2Q9 equilibrium as oracle.initial.
+    cu = CX[:, None, None] * ux + CY[:, None, None] * uy
+    return (
+        W[:, None, None]
+        * rho
+        * (1 + 3 * cu + 4.5 * cu * cu - 1.5 * (ux * ux + uy * uy))
+    )
+
+
+def initial(shape, level, length, viscosity):
+    x, y = centers(shape, level)
+    ux, uy, p = exact(x, y, 0.0, length, viscosity)
+    return equilibrium(1 + 3 * p, ux, uy)
+
+
+def _leaves(arrays, masks):
+    accum = []
+    for level, (g, mask) in enumerate(zip(arrays, masks)):
+        if g.shape != (9, *mask.shape):
+            raise ValueError("population/mask shape mismatch")
+        values = g[:, mask].astype(float)
+        if not np.isfinite(values).all():
+            raise FloatingPointError("nonfinite leaf populations")
+        rho = values.sum(axis=0)
+        if (rho <= 0).any():
+            raise FloatingPointError("nonpositive leaf density")
+        x, y = centers(mask.shape, level)
+        area = np.full(rho.size, 0.25**level)
+        lev = np.full(rho.size, level)
+        accum.append((rho, CX @ values / rho, CY @ values / rho, x[mask], y[mask], area, lev))
+    return [np.concatenate(v) for v in zip(*accum)]
+
+
+def metrics(arrays, masks, t, length, viscosity, initial_mass=None):
+    rho, ux, uy, x, y, w, lev = _leaves(arrays, masks)
+    volume = w.sum()
+    if not np.isclose(volume, length**2, rtol=0, atol=1e-10):
+        raise ValueError("leaf partition does not cover domain once")
+    k = wavevector(length)
+    theta = k[0] * x + k[1] * y + PHI
+    s, c = np.sin(theta), np.cos(theta)
+    v = ux * E[0] + uy * E[1]
+    # Weighted least squares on the actual composite quadrature (no
+    # continuous-orthogonality assumption).
+    gram = np.array([[w @ (s * s), w @ (s * c)], [w @ (s * c), w @ (c * c)]])
+    a_hat, b_hat = np.linalg.solve(gram, [w @ (v * s), w @ (v * c)])
+    ex, ey, _ = exact(x, y, t, length, viscosity)
+    exact_norm = w @ (ex * ex + ey * ey)
+    fit = a_hat * s + b_hat * c
+    longitudinal = (ux * k[0] + uy * k[1]) / math.sqrt(k @ k)
+    amplitude = U * math.exp(-decay_rate(length, viscosity) * t)
+    scale = amplitude * amplitude / 4  # continuum reference scale, not the TG norm
+    modal = math.hypot(a_hat, b_hat)
+    p = (rho - 1) / 3
+    p = p - w @ p / volume  # one global gauge
+    mass = float(w @ rho)
+    return dict(
+        tstar=t * U / length,
+        mass=mass,
+        mass_relative=(
+            0.0 if initial_mass is None else abs(mass - initial_mass) / initial_mass
+        ),
+        a_hat=float(a_hat),
+        b_hat=float(b_hat),
+        amplitude_exact=amplitude,
+        amplitude_ratio=float(a_hat / amplitude),
+        modal_amplitude=modal,
+        amplitude_error=modal / amplitude - 1,
+        phase_drift=float(math.atan2(b_hat, a_hat)),
+        phase_drift_abs=abs(float(math.atan2(b_hat, a_hat))),
+        velocity_l2=float(
+            np.sqrt(w @ ((ux - ex) ** 2 + (uy - ey) ** 2) / exact_norm)
+        ),
+        residual_l2=float(
+            np.sqrt(w @ ((ux - fit * E[0]) ** 2 + (uy - fit * E[1]) ** 2) / exact_norm)
+        ),
+        longitudinal_l2=float(np.sqrt(w @ (longitudinal**2) / exact_norm)),
+        spurious_pressure_rms=float(np.sqrt(w @ (p * p) / volume)),
+        spurious_pressure_scaled=float(np.sqrt(w @ (p * p) / volume) / scale),
+        spurious_pressure_max_scaled=float(np.max(np.abs(p)) / scale),
+        spurious_pressure_scaled_by_level=[
+            float(np.sqrt(w[lev == i] @ (p[lev == i] ** 2) / w[lev == i].sum()) / scale)
+            for i in range(len(masks))
+        ],
+        rho_min=float(rho.min()),
+        rho_max=float(rho.max()),
+        max_speed=float(np.max(np.hypot(ux, uy))),
+        leaf_cells=int(len(rho)),
+    )
+
+
+def fit_rate(rows, length, viscosity):
+    """Free-intercept least squares of ln R, R = hypot(a_hat, b_hat), late samples.
+
+    The intercept absorbs only a constant amplitude prefactor once a single
+    exponential dominates; per-interval rates and the fit residual are kept so
+    a lingering transient stays visible. Rates are per root step of the record
+    (uniform 2N uses its own nu and doubled step counts).
+    """
+    late = [r for r in rows if r["tstar"] >= FIT_FROM_TSTAR - 1e-12]
+    amp = np.array([math.hypot(r["a_hat"], r["b_hat"]) for r in late])
+    if len(late) < 3 or not np.isfinite(amp).all():
+        raise ValueError("need >= 3 late samples with finite R")
+    exact_rate = decay_rate(length, viscosity)
+    to_tstar = length / U  # root steps per unit t*
+    if not (amp > 0).all():
+        # Finite modal extinction: a physical failure, not malformed data. No
+        # clipping and no invented rate; fit quantities are unavailable.
+        return dict(rate_fit_valid=False, rate=None, exact_rate=exact_rate,
+                    rate_tstar=None, exact_rate_tstar=exact_rate * to_tstar,
+                    rate_error=None, interval_rate_errors=None, log_fit_residual_max=None)
+    t = np.array([r["step"] for r in late], dtype=float)
+    (slope, intercept) = np.polyfit(t, np.log(amp), 1)
+    residual = np.log(amp) - (slope * t + intercept)
+    return dict(
+        rate_fit_valid=True, rate=float(-slope), exact_rate=exact_rate,
+        rate_tstar=float(-slope * to_tstar),
+        exact_rate_tstar=exact_rate * to_tstar,  # = 5 (2 pi)^2 / Re
+        rate_error=abs(-slope / exact_rate - 1),
+        interval_rate_errors=[
+            float(-np.log(amp[i + 1] / amp[i]) / (t[i + 1] - t[i]) / exact_rate - 1)
+            for i in range(len(t) - 1)
+        ],
+        log_fit_residual_max=float(np.max(np.abs(residual))),
+    )
+
+
+NONNEGATIVE = ("tstar", "mass", "mass_relative", "amplitude_exact", "modal_amplitude",
+               "phase_drift_abs", "velocity_l2", "residual_l2", "longitudinal_l2",
+               "spurious_pressure_rms", "spurious_pressure_scaled",
+               "spurious_pressure_max_scaled", "rho_min", "rho_max", "max_speed")
+SIGNED = ("a_hat", "b_hat", "amplitude_ratio", "amplitude_error", "phase_drift")
+
+
+def _number(value):
+    return (isinstance(value, (int, float)) and not isinstance(value, bool)
+            and math.isfinite(value))
+
+
+def validate_rows(record):
+    """Exact schedule, finite numbers (incl. lists) and nonnegative error fields.
+
+    Signed quantities (amplitudes, amplitude/phase errors) keep their sign.
+    Raises ValueError so callers can report an invalid run before any screen.
+    """
+    n, rows = record["n"], record["rows"]
+    steps = [round(tstar * n / U) for tstar in TIMES]
+    if not isinstance(rows, list) or len(rows) != len(steps):
+        raise ValueError("rows do not match the scheduled samples")
+    for row, step in zip(rows, steps):
+        if type(row.get("step")) is not int or row["step"] != step:
+            raise ValueError(f"unscheduled or duplicate step {row.get('step')!r}")
+        if not _number(row.get("tstar")) or abs(row["tstar"] - step * U / n) > 3e-17:
+            raise ValueError(f"wrong sample time at step {step}")
+        if not all(_number(row.get(key)) for key in (*NONNEGATIVE, *SIGNED)):
+            raise ValueError(f"missing or nonfinite diagnostic at step {step}")
+        if any(row[key] < 0 for key in NONNEGATIVE) or row["rho_min"] <= 0:
+            raise ValueError(f"negative error quantity or density at step {step}")
+        levels = row.get("spurious_pressure_scaled_by_level")
+        if (not isinstance(levels, list) or len(levels) != record["depth"]
+                or not all(_number(v) and v >= 0 for v in levels)):
+            raise ValueError(f"invalid per-level pressure at step {step}")
+
+
+def summarize(record):
+    validate_rows(record)
+    rows = record["rows"]
+    n = record["n"]
+    out = fit_rate(rows, n, record["viscosity"])
+    out.update(
+        eps=eps(n),
+        complete=record["completed"] is True,
+        residual_l2=max(r["residual_l2"] for r in rows),
+        phase_drift_abs=max(r["phase_drift_abs"] for r in rows),
+        spurious_pressure_scaled=max(r["spurious_pressure_scaled"] for r in rows),
+        spurious_pressure_rms=max(r["spurious_pressure_rms"] for r in rows),
+        amplitude_error_abs=max(abs(r["amplitude_error"]) for r in rows),
+        velocity_l2=max(r["velocity_l2"] for r in rows),
+        mass_relative=max(r["mass_relative"] for r in rows),
+    )
+    if out["rate_fit_valid"] and not all(
+            _number(v) for v in (out["rate"], out["rate_error"], *out["interval_rate_errors"],
+                                 out["log_fit_residual_max"])):
+        raise ValueError("nonfinite rate fit")
+    out["own_screens_pass"] = out["complete"] and out["rate_fit_valid"] and all(
+        out[key] <= out["eps"] for key in ("rate_error", "phase_drift_abs", "residual_l2")
+    ) and all(out[key] <= limit for key, limit in LIMITS.items())
+    return out
+
+
+def _usable(record):
+    try:
+        out = summarize(record)
+    except (KeyError, TypeError, ValueError):
+        return None
+    return out if out["complete"] else None
+
+
+def assess(base_control, fine_control, refined):
+    """Uniform root-spacing and finest-spacing controls versus refined runs.
+
+    INVALID_CONTROL: missing, incomplete, invalid-row or mixed-source controls.
+    INVALID_RUN: a refined record has invalid rows (schedule, NaN, sign).
+    CONTROL_SCREEN_FAIL: complete valid controls that fail their own screens;
+    refined own-screen results are kept, but no controlled comparison passes.
+    PASS/FAIL: every refined run's controlled_pass (own screens and budgets).
+    """
+    if base_control is None or fine_control is None or not refined:
+        return dict(status="INVALID_CONTROL", reason="missing control or refined run")
+    n = base_control["n"]
+    if (base_control["depth"], fine_control["depth"], fine_control["n"]) != (1, 1, 2 * n):
+        raise ValueError("controls must be uniform N and uniform 2N")
+    if any(r["depth"] != 2 or r["n"] != n for r in refined):
+        raise ValueError("refined runs must be depth 2 at root N")
+    if len({r.get("explosion") for r in refined}) != len(refined):
+        raise ValueError("duplicate refined explosion scheme")
+    sources = {repr(r.get("source")) for r in [base_control, fine_control, *refined]}
+    base, fine = _usable(base_control), _usable(fine_control)
+    if base is None or fine is None or len(sources) != 1:
+        return dict(status="INVALID_CONTROL",
+                    reason="incomplete/invalid control or mixed source")
+    controls_pass = base["own_screens_pass"] and fine["own_screens_pass"]
+    report = dict(base_control=base, fine_control=fine, refined={},
+                  controls_pass=controls_pass)
+    statuses = []
+    for r in refined:
+        try:
+            s = summarize(r)
+        except (KeyError, TypeError, ValueError) as error:
+            report["refined"][r["explosion"]] = dict(valid=False, reason=str(error))
+            statuses.append("INVALID_RUN")
+            continue
+        s["valid"] = True
+        # rate_error is None when a modal fit is unavailable; never a pass.
+        s["budget"] = {
+            key: (None if base[key] is None else max(BASELINE_FACTOR * base[key], floor))
+            for key, floor in FLOORS.items()
+        }
+        s["budget_pass"] = all(
+            s[key] is not None and s["budget"][key] is not None and s[key] <= s["budget"][key]
+            for key in FLOORS)
+        s["control_ratios"] = {
+            name: {key: (s[key] / c[key] if s[key] is not None and c[key] else None)
+                   for key in (*FLOORS, "spurious_pressure_rms")}
+            for name, c in (("root", base), ("finest", fine))
+        }
+        s["controlled_pass"] = controls_pass and s["own_screens_pass"] and s["budget_pass"]
+        report["refined"][r["explosion"]] = s
+        statuses.append("PASS" if s["controlled_pass"] else "FAIL")
+    if "INVALID_RUN" in statuses:
+        report["status"] = "INVALID_RUN"
+    elif not controls_pass:
+        report["status"] = "CONTROL_SCREEN_FAIL"
+    else:
+        report["status"] = "PASS" if all(v == "PASS" for v in statuses) else "FAIL"
+    return report

tests/validation/taylor_green/shear_wide_x.py

@@ -0,0 +1,20 @@
+"""One projected x-gap-width diagnostic (opt-in wide_x_shear_n128).
+
+Keep the nested outer boxes and all three spacings. Shrink only L2 in x,
+so each x-normal middle gap grows from 6 to 12 root cells; y gaps stay 6.
+This also reduces L2 volume and moves its x faces. It is a descriptive
+geometry contrast with no new qualification matrix, assessor or pass gate.
+"""
+
+import shear_nested as nested
+
+ROOT_N = nested.ROOT_N
+DEPTH = nested.DEPTH
+REFINEMENTS = [nested.REFINEMENTS[0],
+               [(56, 44, 96, 212), (160, 60, 200, 228)]]  # parent L1 coordinates
+CASES = ((100, ROOT_N, DEPTH, "projected_linear"),)
+LEAVES = [7936, 20352, 53760]
+HOPS = nested.HOPS
+WORK = sum(c * h for c, h in zip(LEAVES, HOPS))  # 540016640 active updates
+NU = nested.NU
+TAU = nested.TAU

tests/validation/taylor_green/test_axis_square.py

@@ -0,0 +1,172 @@
+"""Fixed square geometry, native sampling, POST phase and runner admission; CPU only."""
+import hashlib
+import io
+import json
+import sys
+import tempfile
+import unittest
+from copy import deepcopy
+from pathlib import Path
+from unittest.mock import patch
+from contextlib import redirect_stdout
+
+import numpy as np
+import run_case as rc
+import shear_axis_square as axis
+import shear_wave as sw
+import test_shear_wave as legacy
+from oracle import CX, CY, W, U, centers
+from CelerisLab.lbm.hierarchy import build_hierarchy, leaf_partition
+from CelerisLab.lbm.refinement import ACTIVE
+
+REPO = Path(__file__).resolve().parents[3]
+
+
+def masks(n, depth):
+    h = build_hierarchy(rc.config(n, 100), [] if depth == 1 else axis.REFINEMENTS)
+    np.testing.assert_array_equal(leaf_partition(h), np.ones((n, n)))
+    return [k == ACTIVE for k in h.kinds]
+
+
+class AxisSquareTests(unittest.TestCase):
+    def test_geometry_native_groups_and_work(self):
+        work = 0
+        for _, n, depth, _ in axis.CASES:
+            m = masks(n, depth)
+            p = axis.select(m, n)
+            self.assertEqual(len(p), 20 if depth == 2 else 8*(n//128)**2)
+            self.assertEqual(len({(v['level'], v['i'], v['j']) for v in p}), len(p))
+            roots = [(32, 64), (95, 63), (64, 32), (63, 95),
+                     (31, 64), (96, 63), (64, 31), (63, 96)]
+            expected = []
+            for group, (x, y) in enumerate(roots):
+                level = 1 if depth == 2 and group < 4 else 0
+                factor = (n//128) * 2**level
+                expected += [(level, factor*x+dx, factor*y+dy,
+                              [x+(dx+.5)/factor, y+(dy+.5)/factor])
+                             for dy in range(factor) for dx in range(factor)]
+            self.assertEqual([(v['level'], v['i'], v['j'], v['center']) for v in p], expected)
+            for name in axis.GROUPS:
+                group = [v for v in p if v['group'] == name]
+                self.assertEqual(sum(v['area'] for v in group), 1)
+                np.testing.assert_array_equal(np.mean([v['center'] for v in group], axis=0),
+                                              np.array(axis.GROUPS[name])+.5)
+                for v in group:
+                    self.assertTrue(m[v['level']][v['j'], v['i']])
+            w = rc.workload(m, axis.case_steps(n)[-1])
+            work += w['active_collision_updates']
+            if depth == 2:
+                self.assertEqual(w['active_cells_by_level'], [12288, 16384])
+                self.assertEqual(w['level_hops'], [8, 16])
+            self.assertEqual(axis.case_steps(n), [r*(n//128) for r in range(9)])
+        self.assertEqual(work, 1900544)
+
+    def test_postg_moments_stress_and_matching_fine_control(self):
+        for level in (0, 1):
+            x, _ = centers((33, 41), level)
+            k, h, tau = 4*np.pi/128, 2.**-level, .5+3*.0384*2**level
+            uy = U*np.sin(k*x+np.pi/4)
+            eq = sw.equilibrium(np.ones_like(x), np.zeros_like(x), uy)
+            g = axis.initial(x.shape, level, 128, .0384)
+            a = 3*W[:, None, None]*CX[:, None, None]*CY[:, None, None]*h*k*U*np.cos(k*x+np.pi/4)
+            np.testing.assert_allclose(g, eq-(tau-1)*a, rtol=0, atol=6e-17)
+            for v in (np.ones(9), CX, CY):
+                np.testing.assert_allclose(np.einsum('q,qyx->yx', v, g-eq), 0, rtol=0, atol=2e-16)
+            np.testing.assert_allclose(np.einsum('q,qyx->yx', CX*CY, g-eq),
+                                       (1-tau)*h*k*U*np.cos(k*x+np.pi/4)/3, atol=6e-17)
+            self.assertGreater(g.min(), 0)
+        np.testing.assert_array_equal(axis.initial((256, 256), 0, 256, .0768),
+                                      axis.initial((256, 256), 1, 128, .0384))
+
+    def test_signed_momentum_and_actual_center_time(self):
+        m = masks(128, 2)
+        probes = axis.select(m)
+        trace = axis.new_trace(probes, .0384, [rc.AXIS_SQUARE, 128, 2, 'projected_linear'])
+        for step in axis.STEPS:
+            arrays = []
+            for level, mask in enumerate(m):
+                x, _ = centers(mask.shape, level)
+                uy, _ = axis.exact(x, step, 128, .0384)
+                arrays.append(sw.equilibrium(np.full_like(x, 1.001), np.zeros_like(x), uy))
+            trace['steps'].append(step)
+            trace['values'].append(axis.sample(arrays, probes))
+        trace['bytes'] = axis.validate(trace)
+        self.assertEqual(trace['bytes'], len(json.dumps(trace, allow_nan=False).encode()))
+        for row in trace['group_moments']:
+            for name, v in row['groups'].items():
+                self.assertAlmostEqual(v['drho'], .001, places=14)
+                x = np.array([p['center'][0] for p in probes if p['group'] == name])
+                uy, gradient = axis.exact(x, row['root_step'], 128, .0384)
+                self.assertAlmostEqual(v['djy'], .001*uy.mean(), places=14)
+                self.assertAlmostEqual(v['mean_duy_dx'], gradient.mean(), places=14)
+            self.assertAlmostEqual(row['groups']['inner_left']['mean_duy_dx'],
+                                   -row['groups']['inner_bottom']['mean_duy_dx'], places=14)
+        with patch.object(axis, 'TRACE_MAX_BYTES', trace['bytes']-1), self.assertRaises(ValueError):
+            axis.validate(trace)
+        for mutate in (lambda t: t['steps'].pop(),
+                       lambda t: t['steps'].__setitem__(1, 0),
+                       lambda t: t['values'][1].__setitem__(0, float('nan')),
+                       lambda t: t['probes'].pop()):
+            bad = deepcopy(trace); mutate(bad)
+            with self.assertRaises(ValueError): axis.validate(bad)
+
+    def test_four_full_mock_schedules_and_old_rejection(self):
+        helper = legacy.ProbeTraceTests()
+        helper.setUp()
+        def arrays(m, n, t):
+            return [axis.initial(v.shape, level, n, U*n/100) for level, v in enumerate(m)]
+        for _, n, depth, scheme in axis.CASES:
+            with patch.object(helper, 'exact_arrays', side_effect=arrays):
+                r, counts, files = helper.run_mocked(n, depth, rc.AXIS_SQUARE, scheme,
+                                                     masks(n, depth), initializer=axis.initial)
+            self.assertEqual(counts[-1], 8*(n//128))
+            self.assertEqual([v['step'] for v in r['rows']], [0, 8*(n//128)])
+            self.assertEqual(r['probe_trace']['steps'], list(range(9)))
+            self.assertEqual(r['probe_trace']['probes'], axis.select(masks(n, depth), n))
+            self.assertEqual(r['mode'], [2, 0])
+            self.assertEqual(r['phase'], np.pi/4)
+            self.assertEqual(r['initialization'], axis.INITIALIZATION)
+            self.assertEqual(r['limits'], {})
+            self.assertIsNone(r['screening_pass'])
+            self.assertFalse(r['qualification_eligible'])
+            self.assertEqual(files, ['probe.json'])
+        old = legacy.NestedPresetTests(); old.setUp()
+        records = old.nested_set(); records[-1]['diagnostic'] = rc.AXIS_SQUARE
+        self.assertEqual(old.mod.assess_nested(records, 'r')['status'], 'INVALID_SET')
+        records = [legacy.receipt(128, 1), legacy.receipt(256, 1), legacy.receipt(128, 2),
+                   legacy.receipt(128, 2, 'projected_linear')]
+        records[-1].update(diagnostic=rc.AXIS_SQUARE, initialization=axis.INITIALIZATION)
+        self.assertEqual(old.mod.assess(records, 'r')['status'], 'INVALID_SET')
+        self.assertNotIn(rc.AXIS_SQUARE, old.mod.PRESETS)
+        with patch.object(axis, 'sample', return_value=[float('nan')]*24):
+            r, _, _ = helper.run_mocked(128, 1, rc.AXIS_SQUARE, 'constant', masks(128, 1),
+                                        initializer=axis.initial)
+        self.assertIn('error', r['probe_trace'])
+        self.assertTrue(r['completed'])
+        self.assertEqual(len(r['rows']), 2)
+
+    def test_admission_and_module_pin(self):
+        from tests.validation.multigrid import check_projected_pairs as gate
+        self.assertEqual(hashlib.sha256(Path(axis.__file__).read_bytes()).hexdigest(), rc.SHEAR_AXIS_SQUARE_SHA256)
+        with tempfile.TemporaryDirectory() as tmp:
+            base = ['run_case.py', '--repo', str(REPO), '--expected-revision', 'f'*40,
+                    '--output', str(Path(tmp)/'case.json'), '--dry-run', '--re', '100',
+                    '--flow', 'shear_wave', '--diagnostic', rc.AXIS_SQUARE, '--probe-trace']
+            for n, depth, scheme, valid in [(n, d, s, True) for _, n, d, s in axis.CASES] + [
+                    (512, 1, 'constant', False), (256, 2, 'projected_linear', False), (128, 3, 'constant', False)]:
+                for extra in ([], ['--final-snapshot'], ['--early-pressure'], ['--flow', 'taylor_green'], ['--re', '1000']):
+                    argv = base + ['--n', str(n), '--depth', str(depth), '--explosion', scheme] + extra
+                    with patch.object(sys, 'argv', argv), redirect_stdout(io.StringIO()), patch('sys.stderr', io.StringIO()), \
+                         patch.object(rc, 'verify_source', return_value={}) as verify, patch.object(rc, 'runtime_source', return_value={}):
+                        if valid and not extra:
+                            self.assertEqual(rc.main(), 0)
+                            verify.assert_called_once_with(REPO, 'f'*40, 'shear_axis_square', probes=True)
+                        else:
+                            with self.assertRaises(SystemExit): rc.main()
+                            verify.assert_not_called()
+        with patch.object(gate, 'preflight', return_value=rc.NUMERICAL_REVISION), \
+             patch.object(rc, 'provenance', return_value=dict(source_tree_sha256=rc.SOURCE_SHA256)):
+            rc.verify_source(REPO, 'r', 'shear_axis_square', probes=True)
+            for module, key, value in ((axis, '__file__', '/wrong/helper.py'), (rc, 'SHEAR_AXIS_SQUARE_SHA256', 'wrong')):
+                with patch.object(module, key, value), self.assertRaisesRegex(RuntimeError, 'shear_axis_square'):
+                    rc.verify_source(REPO, 'r', 'shear_axis_square', probes=True)

tests/validation/taylor_green/test_centered.py

@@ -0,0 +1,246 @@
+"""Independent coordinate oracle, exact kernel host shim and closed pair budgets."""
+import ctypes
+from contextlib import nullcontext
+from copy import deepcopy
+from dataclasses import replace
+import hashlib
+import json
+from pathlib import Path
+import subprocess
+import tempfile
+import unittest
+from unittest.mock import patch
+
+import numpy as np
+import run_case as rc
+import shear_axis_square as axis
+import shear_centered as candidate
+import test_shear_wave as legacy
+from test_axis_square import masks
+from CelerisLab.lbm.hierarchy import build_hierarchy
+from CelerisLab.lbm.blocks import BlockLayout2D
+from CelerisLab.lbm.refinement_tables import projected_explosion_tables
+from CelerisLab.lbm.refinement import ACTIVE, OUTER_GHOST
+from tests.unit import test_projected_explosion as old
+
+REPO = Path(__file__).resolve().parents[3]
+SOURCE = REPO/'src/CelerisLab/lbm/kernels/blocks.cu'
+
+
+def oracle(c, pair, centered=True):
+    """Uses only dense coordinates/legal donors, never production neighbor/mask arrays."""
+    out = np.empty((9, len(pair.ghost_fine)))
+    legal = set(map(int, pair.ghost_coarse))
+    for r, (donor, target) in enumerate(zip(pair.ghost_coarse, pair.ghost_fine)):
+        y, x = divmod(int(donor), 128); fy, fx = divmod(int(target), 256)
+        delta = np.array([(fx+.5)/2-x-.5, (fy+.5)/2-y-.5])
+        usable = [(128*(y-dy)+x-dx in legal and 128*(y+dy)+x+dx in legal)
+                  for dx,dy in [(1,0),(0,1)]]
+        straight = ((x in (30,31,96,97) and 36 <= y < 92 and usable == [False,True])
+                    or (y in (30,31,96,97) and 36 <= x < 92 and usable == [True,False]))
+        for q, e in enumerate(old.E):
+            grad = np.array([(c[q,y+dy,x+dx]-c[q,y-dy,x-dx])/2 if ok else 0.
+                             for (dx,dy),ok in zip([(1,0),(0,1)],usable)])
+            if q: grad -= e*(grad@e)/(e@e)
+            out[q,r] = c[q,y,x] + (2 if centered and straight and np.all(e) else 1)*(grad@delta)
+    return out
+
+
+class CenteredTests(unittest.TestCase):
+    @classmethod
+    def setUpClass(cls):
+        cls.h = build_hierarchy(rc.config(128,100), axis.REFINEMENTS)
+        cls.p = cls.h.pairs[0]
+        cls.mask = candidate.routing(cls.h)
+        cls.layout = BlockLayout2D.build(128,128,8,8,periodic=(True,True))
+        cls.ids, cls.offsets = projected_explosion_tables(cls.p,cls.layout,cls.h.kinds[0])
+        cls.neighbors = old.decode(cls.layout,cls.ids)
+
+    def test_mask_constants_quartets_and_transpose(self):
+        self.assertEqual(candidate.metadata(self.mask), dict(variant=candidate.VARIANT,
+            mask_sha256='112de63ce9bafd2e205a9e7029ef6ce5683fe14407b6ac04444579c84960b7ea',
+            ghost_rows=2112, selected_rows=1792,
+            rule='diagonal projected correction x2; audited straight faces only'))
+        c=np.random.default_rng(47).normal(0,.001,(9,128,128))
+        actual=oracle(c,self.p); baseline=oracle(c,self.p,False)
+        base,g=old.reconstruct(c,self.p,self.neighbors,self.offsets)
+        g[np.ix_(np.flatnonzero(np.all(old.E,axis=1)),np.flatnonzero(self.mask),[0,1])]*=2
+        expected=c.reshape(9,-1)[:,self.p.ghost_coarse]+np.einsum('qra,ra->qr',g,self.offsets)
+        np.testing.assert_allclose(actual,expected,atol=1e-18,rtol=0)
+        np.testing.assert_array_equal(actual[:,~self.mask.astype(bool)],baseline[:,~self.mask.astype(bool)])
+        for d in np.unique(self.p.ghost_coarse):
+            rows=self.p.ghost_coarse==d
+            np.testing.assert_allclose(actual[:,rows].mean(axis=1),c.reshape(9,-1)[:,d],atol=1e-18)
+        const=np.broadcast_to(old.W[:,None,None],c.shape)
+        np.testing.assert_array_equal(oracle(const,self.p),np.broadcast_to(old.W[:,None],actual.shape))
+        qswap=[list(map(tuple,old.E)).index(tuple(e[::-1])) for e in old.E]
+        index={int(t):r for r,t in enumerate(self.p.ghost_fine)}
+        swap=[index[int(t%256)*256+int(t//256)] for t in self.p.ghost_fine]
+        np.testing.assert_array_equal(self.mask,self.mask[swap])
+        np.testing.assert_allclose(oracle(c[qswap].transpose(0,2,1),self.p),actual[qswap][:,swap],atol=1e-18)
+        qreflect=[list(map(tuple,old.E)).index(tuple((-e[0],e[1]))) for e in old.E]
+        reflect=[index[int(t//256)*256+255-int(t%256)] for t in self.p.ghost_fine]
+        np.testing.assert_array_equal(self.mask,self.mask[reflect])
+        np.testing.assert_allclose(oracle(c[qreflect,:,::-1],self.p),actual[qreflect][:,reflect],atol=1e-18)
+        # Central dependency corridors remain in a constant mask regime beyond radius8*2.5.
+        for name,(x,y) in axis.GROUPS.items():
+            tangent = y if name.endswith(('left','right')) else x
+            self.assertGreater(min(tangent+.25-36,92-(tangent+.75)),20)
+
+    def test_actual_generated_kernel_shifted_unshifted(self):
+        child=self.p.fine_layout((8,4))  # unequal owner strides, unused slots poisoned
+        patched=candidate.patch_source(SOURCE.read_text(),self.mask)
+        kernel=patched.split('__device__ __constant__ unsigned char centered_face_mask',1)[1]
+        kernel='unsigned char centered_face_mask'+kernel.split('// Targets are receiver-local SOURCE slots',1)[0]
+        kernel=kernel.replace('extern "C" __global__','extern "C"')
+        code='#include <cstdint>\nusing fpxx=float;\n'
+        code+=f'constexpr unsigned NQ=9,TOTAL_CELLS={np.prod(child.local_shape)};\n'
+        code+='struct Id{unsigned x;}; Id blockIdx{0},blockDim{1},threadIdx{0};\n'
+        code+='unsigned index_f(unsigned k,unsigned q){return q*TOTAL_CELLS+k;}\n'
+        code+='int d_cx[]={0,1,-1,0,0,1,-1,1,-1},d_cy[]={0,0,0,1,-1,1,-1,-1,1};\n'+kernel
+        original=SOURCE.read_text().split('extern "C" __global__ void BlockExplodeProjected(',1)[1].split('// Targets are receiver-local SOURCE slots',1)[0]
+        code+='void Original('+original
+        code+='extern "C" void invoke(float*c,float*f,uint64_t*t,uint64_t*d,unsigned n,unsigned long l,uint64_t*b,float*o){for(unsigned r=0;r<n;r++){threadIdx.x=r;BlockExplodeProjected(c,f,t,d,n,l,b,o);}}'
+        code+=code[code.index('extern "C" void invoke'):].replace('void invoke(', 'void invoke_old(').replace('BlockExplodeProjected(c,f,','Original(c,f,')
+        with tempfile.TemporaryDirectory() as tmp:
+            src=Path(tmp)/'kernel.cpp'; lib=Path(tmp)/'kernel.so'; src.write_text(code)
+            subprocess.run(['g++','-std=c++17','-O2','-shared','-fPIC',str(src),'-o',str(lib)],check=True,capture_output=True)
+            library=ctypes.CDLL(str(lib));fn=library.invoke;fn_old=library.invoke_old
+            ptr=lambda a:a.ctypes.data_as(ctypes.c_void_p)
+            targets=np.ascontiguousarray(child.owner.ravel()[self.p.ghost_fine],np.uint64)
+            donors=np.ascontiguousarray(self.layout.owner.ravel()[self.p.ghost_coarse],np.uint64)
+            for shifted in (True,False):
+                c=np.random.default_rng(8).normal(0,.001,(9,128,128))
+                if not shifted:c+=old.W[:,None,None]
+                c=c.astype(np.float32); c[:,self.p.covered]=np.nan
+                packed=np.full(self.layout.nblocks*9*np.prod(self.layout.local_shape),np.nan,np.float32)
+                for q in range(9):packed[self.layout.slot(self.layout.owner.ravel(),q)]=c[q].ravel()
+                fine=np.full(child.nblocks*9*np.prod(child.local_shape),np.nan,np.float32)
+                fn(ptr(packed),ptr(fine),ptr(targets),ptr(donors),ctypes.c_uint(len(targets)),ctypes.c_ulong(np.prod(self.layout.local_shape)),ptr(self.ids),ptr(self.offsets))
+                original=np.full_like(fine,np.nan)
+                fn_old(ptr(packed),ptr(original),ptr(targets),ptr(donors),ctypes.c_uint(len(targets)),ctypes.c_ulong(np.prod(self.layout.local_shape)),ptr(self.ids),ptr(self.offsets))
+                output=np.array([fine[child.slot(targets,q)] for q in range(9)])
+                unchanged=np.array([original[child.slot(targets,q)] for q in range(9)])
+                np.testing.assert_array_equal(output[:,~self.mask.astype(bool)],unchanged[:,~self.mask.astype(bool)])
+                np.testing.assert_array_equal(output[:5],unchanged[:5])
+                np.testing.assert_allclose(output,oracle(c.astype(float),self.p),atol=6e-8,rtol=2e-7)
+
+    def test_mixed_mask_full_pair_mass_momentum(self):
+        rng=np.random.default_rng(12); p=self.p
+        c=old.W[:,None,None]*(1+rng.normal(0,.002,(9,128,128)))
+        f=old.W[:,None,None]*(1+rng.normal(0,.002,(9,256,256)))
+        start=old.totals(c,f,p); c[:,p.covered]=np.nan
+        for _ in range(2):
+            f.reshape(9,-1)[:,p.ghost_fine]=oracle(c,p)
+            for _ in range(2):
+                f=np.array([np.roll(f[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(old.E)])
+                f[:,p.fine_kind==OUTER_GHOST]=np.nan
+                f[:,p.fine_kind==ACTIVE]=old.collide(f[:,p.fine_kind==ACTIVE],p.tau_fine)
+            out=np.array([np.roll(c[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(old.E)])
+            out.reshape(-1)[p.coalesce_coarse]=f.reshape(-1)[p.coalesce_fine].mean(axis=1)
+            out[:,~p.covered]=old.collide(out[:,~p.covered],p.tau_coarse)
+            out[:,p.covered]=np.nan; c=out
+            np.testing.assert_allclose(old.totals(c,f,p),start,rtol=0,atol=4e-10)
+
+    def test_private_build_identity_cleanup_and_old_path(self):
+        from CelerisLab.cuda import compiler_v2 as compiler
+        from assess_projected_pairs import BUILD_SOURCES
+        original=compiler.generate_config; report={}
+        with candidate.private_build(self.h,report,candidate.VARIANT):
+            for level,cfg in enumerate(self.h.configs):
+                cfg=replace(cfg,nx=10,ny=10);cfg.validate(); build=compiler.generate_config(cfg)
+                try:
+                    meta=json.loads((Path(build)/'.celeris-build').read_text())
+                    self.assertEqual(meta['source_sha256'],candidate.source_digest(build))
+                    self.assertEqual(meta['source_sha256'],candidate.BUILD_SHA256 if level else BUILD_SOURCES[128])
+                    if level:self.assertEqual(meta['experimental_reconstruction'],candidate.metadata(self.mask))
+                finally:compiler.cleanup_build_dir(build)
+        self.assertIs(compiler.generate_config,original)
+        with candidate.private_build(None,{},'current'):
+            self.assertIs(compiler.generate_config,original)
+        self.assertEqual(hashlib.sha256(SOURCE.read_bytes()).hexdigest(),'668e5cf14e88bdcfa281c2fa6c75c0f8f8cdbbfb8ba2ca03064ae02ef7ad0057')
+
+    def mock_records(self):
+        import argparse
+        helper=legacy.ProbeTraceTests();helper.setUp()
+        parse=argparse.ArgumentParser.parse_args
+        records=[]
+        for n,depth,variant in candidate.CASES:
+            scheme='constant' if depth==1 else 'projected_linear'
+            def parse_extra(parser,*a,**k):
+                result=parse(parser,*a,**k);result.test_reconstruction=variant;return result
+            def arrays(m,n,t):return [axis.initial(v.shape,l,n,.03*n/100) for l,v in enumerate(m)]
+            with patch.object(argparse.ArgumentParser,'parse_args',parse_extra), \
+                 patch.object(helper,'exact_arrays',side_effect=arrays), \
+                 patch.object(candidate,'private_build',return_value=nullcontext()) as private:
+                r,counts,_=helper.run_mocked(n,depth,candidate.DIAGNOSTIC,scheme,masks(n,depth),initializer=axis.initial)
+            self.assertEqual(r['test_reconstruction'],variant)
+            self.assertEqual(r['probe_trace']['steps'],list(range(9)))
+            self.assertEqual([v['step'] for v in r['rows']],[0,8*(n//128)])
+            self.assertLess(r['observed_shifted_max'],candidate.POP_ENVELOPE)
+            self.assertEqual(counts[-1],8*(n//128));self.assertEqual(private.call_args.args[2],variant)
+            records.append(r)
+        return records
+
+    def test_four_mock_runs_admission_and_old_diagnostic_unchanged(self):
+        self.assertEqual(len(self.mock_records()),4)
+        self.assertEqual(hashlib.sha256(Path(candidate.__file__).read_bytes()).hexdigest(),rc.SHEAR_CENTERED_SHA256)
+        from tests.validation.multigrid import check_projected_pairs as gate
+        with patch.object(gate,'preflight',return_value=rc.NUMERICAL_REVISION), \
+             patch.object(rc,'provenance',return_value=dict(source_tree_sha256=rc.SOURCE_SHA256)):
+            rc.verify_source(REPO,'r','shear_centered',probes=True)
+            with patch.object(candidate,'__file__','/stale/shear_centered.py'), self.assertRaises(RuntimeError):
+                rc.verify_source(REPO,'r','shear_centered',probes=True)
+        import argparse, io, sys
+        from contextlib import redirect_stdout
+        with tempfile.TemporaryDirectory() as tmp:
+            base=['run_case.py','--repo',str(REPO),'--expected-revision','f'*40,
+                  '--output',str(Path(tmp)/'r.json'),'--re','100','--n','128','--depth','2',
+                  '--flow','shear_wave','--probe-trace','--explosion','projected_linear','--dry-run']
+            cases=[(['--diagnostic',candidate.DIAGNOSTIC],False),
+                   (['--diagnostic',rc.AXIS_SQUARE,'--test-reconstruction',candidate.VARIANT],False),
+                   (['--diagnostic',candidate.DIAGNOSTIC,'--test-reconstruction',candidate.VARIANT,'--depth','1'],False),
+                   (['--diagnostic',candidate.DIAGNOSTIC,'--test-reconstruction',candidate.VARIANT],True)]
+            for extra,valid in cases:
+                with patch.object(sys,'argv',base+extra), patch.object(rc,'verify_source',return_value={}) as verify, \
+                     patch.object(rc,'runtime_source',return_value={}), redirect_stdout(io.StringIO()), patch('sys.stderr',io.StringIO()):
+                    if valid:self.assertEqual(rc.main(),0)
+                    else:
+                        with self.assertRaises(SystemExit):rc.main()
+                        verify.assert_not_called()
+
+    def test_frozen_comparison_gates_and_corruptions(self):
+        import test_projected_pairs as fixture
+        records=self.mock_records(); source=fixture.source()
+        for r in records:
+            r.update(source=deepcopy(source),runtime_identity=deepcopy(fixture.RUNTIME),
+                     runtime_source=rc.runtime_source(REPO),cuda_visible_devices='0',
+                     actual_build_sidecars=[fixture.build_metadata(r['n']*2**l) for l in range(r['depth'])])
+        records[3]['reconstruction']=candidate.metadata(self.mask)
+        records[3]['actual_build_sidecars'][1].update(source_sha256=candidate.BUILD_SHA256,
+                                                    experimental_reconstruction=candidate.metadata(self.mask))
+        def change(r,step,group,component,value):
+            for i,p in enumerate(r['probe_trace']['probes']):
+                if p['group']==group:r['probe_trace']['values'][step][3*i+component]=value
+        for r,bottom,top in [(records[2],-1e-5,1e-6),(records[3],-1e-6,8e-7)]:
+            change(r,1,'inner_bottom',1,bottom);change(r,1,'inner_top',1,top)
+        for r in records:r["probe_trace"]["bytes"]=axis.validate(r["probe_trace"])
+        result=candidate.compare(records,source)
+        self.assertTrue(result['advance_to_review']);self.assertFalse(result['qualified'])
+        np.testing.assert_allclose(result['moment_deadband'],[1.1925e-6,7.95e-7,7.95e-7],rtol=2e-16,atol=0)
+        for group,step,value,check in [('inner_bottom',1,-9.8e-6,'bottom_step1_clear'),
+                ('inner_top',1,4e-6,'top_step1_nonworse'),('outer_top',8,4e-6,'top_step8_nonworse'),
+                ('inner_left',1,4e-6,'vertical_null')]:
+            bad=deepcopy(records);change(bad[3],step,group,1,value)
+            bad[3]['probe_trace']['bytes']=axis.validate(bad[3]['probe_trace'])
+            self.assertFalse(candidate.compare(bad,source)['checks'][check])
+        for mutation in [lambda r:r['source'].update(revision='wrong'),
+                         lambda r:r['runtime_identity'].update(device='wrong'),
+                         lambda r:r.update(viscosity=.1),lambda r:r.update(refinements=[]),
+                         lambda r:r.update(observed_shifted_max=.04),
+                         lambda r:r['actual_build_sidecars'][1].update(source_sha256='wrong'),
+                         lambda r:r['probe_trace']['values'][0].__setitem__(0,1.01),
+                         lambda r:r['probe_trace']['steps'].pop(),
+                         lambda r:r['probe_trace']['probes'][0].update(i=1)]:
+            bad=deepcopy(records);mutation(bad[3])
+            with self.assertRaises((ValueError,KeyError)):candidate.compare(bad,source)

tests/validation/taylor_green/test_projected_pairs.py

@@ -0,0 +1,554 @@
+"""Host geometry, receipt-corruption tests and mocked scheduling; no CUDA/flow."""
+
+from contextlib import nullcontext, redirect_stdout
+from copy import deepcopy
+from dataclasses import asdict, replace
+import hashlib
+import io
+import json
+from pathlib import Path
+import subprocess
+import sys
+import tempfile
+from types import SimpleNamespace
+import unittest
+from unittest.mock import patch
+
+import numpy as np
+
+import run_case
+import assess_projected_pairs as assessor
+from assess_projected_pairs import (BUILD_SOURCES, CASES, NUMERICS, NUMERICAL_REVISION,
+                                    SOURCE_SHA256, assess)
+from oracle import LIMITS, TIMES, U, rectangles
+
+REPO = Path(__file__).resolve().parents[3]
+OLD_REVISION = "519473a61c7b319183aa54e55b9f097499dde0bf"
+MOCK_REVISION = "f" * 40
+RUNTIME = dict(device=dict(name="host mock", pci_bus_id="mock", capability=[7, 0],
+                           driver=12040, runtime=[12, 4, 0]), nvcc_path="/mock/nvcc",
+               nvcc_version="mock nvcc", python="mock Python", numpy=np.__version__, pycuda="mock")
+
+
+def source():
+    return dict(revision=MOCK_REVISION, dirty=False, source_tree_sha256=SOURCE_SHA256,
+                harness_sha256={"run_case.py": "a" * 64, "oracle.py": "c" * 64},
+                build_capture_sha256=run_case.BUILD_CAPTURE_SHA256)
+
+
+def build_metadata(size):
+    cfg = replace(run_case.config(size, 100), nx=10, ny=10)
+    cfg.validate()
+    return dict(source_sha256=BUILD_SOURCES[size], config=asdict(cfg), n_objects=0,
+                arch="sm_70", flags=["--use_fast_math"], ptx_sha256="b" * 64)
+
+
+def records(early=False, diagnostic=None):
+    from CelerisLab.lbm.hierarchy import build_hierarchy
+    from CelerisLab.lbm.refinement import ACTIVE
+
+    out = []
+    for re, n, depth, scheme in CASES:
+        if diagnostic:
+            n *= 2
+        cfg = run_case.config(n, re)
+        refinements = [] if depth == 1 else rectangles(n, depth)
+        h = build_hierarchy(cfg, refinements)
+        main_steps, early_steps = run_case.sample_steps(n, early)
+        out.append(dict(
+            re_L=re, n=n, depth=depth, explosion=scheme, U=U, mach=float(U*np.sqrt(3)),
+            viscosity=cfg.viscosity, tau_by_level=[0.5+3*c.viscosity for c in h.configs],
+            refinements=refinements, numerics=NUMERICS.copy(), initialization=run_case.INITIALIZATION,
+            source=source(), numerical_revision=NUMERICAL_REVISION,
+            reference_harness=run_case.REFERENCE_HARNESS,
+            actual_build_sidecars=[build_metadata(n * 2**level) for level in range(depth)],
+            runtime_identity=deepcopy(RUNTIME), cuda_visible_devices="0",
+            runtime_source=run_case.runtime_source(REPO), completed=True,
+            workload=run_case.workload([k == ACTIVE for k in h.kinds], 16*n),
+            rows=[dict(step=s, tstar=s*U/n, **{k: 0.0 for k in LIMITS}) for s in main_steps],
+            early_pressure=dict(enabled=early, rows=[
+                dict(step=s, tstar=s*U/n, pressure_l2=.01 if s not in main_steps else 0.0) for s in early_steps],
+                sampled_max_pressure_l2=.01 if early else None)))
+        if diagnostic:
+            out[-1]["diagnostic"] = diagnostic
+    return out
+
+
+class ProjectedPairsTests(unittest.TestCase):
+    def test_exact_geometry_work_and_samples(self):
+        from CelerisLab.lbm.hierarchy import build_hierarchy, leaf_partition
+
+        data = records(True)
+        self.assertEqual(sum(r["workload"]["active_collision_updates"] for r in data), 589299712)
+        for r in data:
+            n, depth = r["n"], r["depth"]
+            h = build_hierarchy(run_case.config(n, 100), r["refinements"])
+            np.testing.assert_array_equal(leaf_partition(h), np.ones((n, n)))
+            main, early = run_case.sample_steps(n, True)
+            self.assertEqual(main, [0, 4*n, 8*n, 12*n, 16*n])
+            self.assertEqual(early, [k*(n//16) for k in range(65)])
+            np.testing.assert_allclose(np.array(early)*U/n, np.arange(65)*.001875, rtol=0, atol=3e-17)
+            if depth == 2:
+                self.assertEqual(r["refinements"], [[(16, 16, 112, 96)]])
+        self.assertTrue(assess(data)["passed"])
+        self.assertTrue(assess(records())["passed"])
+
+    def test_exact_old519_geometry_and_table_parity(self):
+        from CelerisLab.lbm.blocks import BlockLayout2D
+        from CelerisLab.lbm.hierarchy import build_hierarchy
+        from CelerisLab.lbm.refinement_tables import projected_explosion_tables
+
+        # Frozen from executing exact 519473a61c7b319183aa54e55b9f097499dde0bf
+        # geometry and table definitions, after checking unchanged config,
+        # descriptors and blocks. No historical Git object is needed at runtime.
+        # Historical source SHA256, refinement.py then refinement_tables.py:
+        # 08c2a0557276a98cbcaa459d9bb7a9735d8bbbf64a6114c57af2fda61481a687
+        # dabff948bb30496384d1a52c666b0edbc2085f9c61ed1bbc39f748502629113d
+        frozen = {
+            "covered": ("|b1", (128, 128), "14a1b5be54e3309bea825a00a653105951f0c805622b877a86dd453d65556df3"),
+            "fine_kind": ("|u1", (256, 256), "891ff72c3d60686c62b1f35ffe59d054ac23b8f9d59aeb5782bc941202794cc0"),
+            "ghost_fine": ("<u8", (2880,), "2d0311ac0feb1c0e1e2b6bcf806fe616b8217513de218407267dcd7652287579"),
+            "ghost_coarse": ("<u4", (2880,), "5a3b305a0f841c8d05a13f105fda02b43ef875ab1321f9bca579f2b8ae313233"),
+            "coalesce_coarse": ("<u8", (1060,), "a1d88c60f282153dcf2bb497c59d777968b6db773d061d8fea08163c98155967"),
+            "coalesce_fine": ("<u8", (1060, 4), "08914c5d17c1ec8e2bfd234f581e4b3283de26296ae7d80403385feed7b89532"),
+            "neighbors": ("<u8", (2880, 4), "cfef3a07103241e3dfff24fd65ab967afcf20520f699574b191044d47cf5d1f4"),
+            "offsets": ("<f4", (2880, 2), "c98ba658d5f2cc18605e029fbe1da448ded3fd2436edcaf8ea097fa46aeb1f2d"),
+        }
+        hierarchy = build_hierarchy(run_case.config(128, 100), rectangles(128, 2))
+        pair = hierarchy.pairs[0]
+        self.assertEqual((pair.coarse_shape, pair.fine_shape, pair.fine_origin),
+                         ((128, 128), (256, 256), (0.0, 0.0)))
+        self.assertEqual(len(np.unique(pair.ghost_coarse)), 720)
+        self.assertTrue((hierarchy.kinds[0].ravel()[pair.ghost_coarse] == 0).all())
+        layout = BlockLayout2D.build(128, 128, 8, 8, periodic=(True, True))
+        neighbors, offsets = projected_explosion_tables(pair, layout, hierarchy.kinds[0])
+        arrays = dict(neighbors=neighbors, offsets=offsets)
+        arrays.update({name: getattr(pair, name) for name in frozen if name not in arrays})
+        for name, array in arrays.items():
+            with self.subTest(array=name):
+                self.assertEqual((array.dtype.str, array.shape, hashlib.sha256(array.tobytes()).hexdigest()),
+                                 frozen[name])
+
+    def test_actual_build_capture_rejects_tampered_ptx_and_sidecar(self):
+        from CelerisLab.cuda import compiler_v2
+        from tests.validation.multigrid.check_projected_pairs import capture_builds
+
+        for tamper in (None, "ptx", "sidecar"):
+            with self.subTest(tamper=tamper), tempfile.TemporaryDirectory() as tmp:
+                path = Path(tmp) / "blocks.ptx"
+                path.write_bytes(b"host-only mock PTX")
+                metadata = dict(ptx_sha256=hashlib.sha256(path.read_bytes()).hexdigest())
+                if tamper == "ptx":
+                    path.write_bytes(b"tampered")
+                if tamper == "sidecar":
+                    metadata["ptx_sha256"] = "0" * 64
+                Path(str(path) + ".json").write_text(json.dumps(metadata))
+                report = {"actual_build_sidecars": []}
+                with patch.object(compiler_v2, "load_module", return_value="mock-module") as load:
+                    with capture_builds(report, lambda: None):
+                        if tamper:
+                            with self.assertRaisesRegex(AssertionError, "PTX and build sidecar"):
+                                compiler_v2.load_module(str(path))
+                            load.assert_not_called()
+                            self.assertEqual(report["actual_build_sidecars"], [])
+                        else:
+                            self.assertEqual(compiler_v2.load_module(str(path)), "mock-module")
+                            self.assertEqual(report["actual_build_sidecars"], [metadata])
+                    self.assertIs(compiler_v2.load_module, load)
+
+    def test_frozen_formula_and_finest_control(self):
+        data = records(True)
+        data[0]["rows"][2]["velocity_l2"] = .002
+        data[0]["rows"][0]["velocity_l2"] = .04  # retained absolute gate, excluded from worst
+        for r in data[2:]:
+            for row in r["rows"][1:]:
+                row.update(velocity_l2=.0039, pressure_l2=.02, energy_relative=.004)
+            r["early_pressure"]["rows"][-1]["pressure_l2"] = .02
+            r["early_pressure"]["sampled_max_pressure_l2"] = .02
+        data[1]["rows"][2]["velocity_l2"] = .00001
+        data[3]["early_pressure"]["rows"][7]["pressure_l2"] = .9
+        data[3]["early_pressure"]["sampled_max_pressure_l2"] = .9
+        result = assess(data)
+        self.assertTrue(result["passed"])
+        velocity = result["comparisons"][0]
+        self.assertEqual(velocity["baseline_budget"], .004)
+        self.assertAlmostEqual(velocity["amr_to_uniform256"], 390)
+        self.assertEqual(result["early_pressure"][-1]["sampled_max_pressure_l2"], .9)
+        data[3]["rows"][-1]["pressure_l2"] = .02001
+        result = assess(data)
+        self.assertFalse(result["passed"])
+        self.assertEqual(result["comparisons"][4]["amr"], .02001)
+
+    def test_scheme_verdicts_are_independent(self):
+        data = records()
+        data[2]["rows"][-1]["pressure_l2"] = .03
+        result = assess(data)
+        self.assertFalse(result["passed"])
+        self.assertFalse(result["scheme_results"]["constant"]["passed"])
+        self.assertTrue(result["scheme_results"]["projected_linear"]["passed"])
+
+    def test_corruptions_cannot_pass(self):
+        good = records(True)
+        corruptions = [
+            lambda r: r.update(completed=False),
+            lambda r: r["rows"].pop(),
+            lambda r: r["rows"][-1].update(pressure_l2=float("nan")),
+            lambda r: r["rows"][-1].update(energy_relative=float("inf")),
+            lambda r: r["rows"][-1].update(pressure_l2=1e308),
+            lambda r: r["rows"][-1].update(velocity_l2=-1),
+            lambda r: r["rows"][-1].update(step=2047),
+            lambda r: r["rows"][-1].update(tstar=.4801),
+            lambda r: r["source"].update(dirty=True),
+            lambda r: r["source"].update(source_tree_sha256="wrong"),
+            lambda r: r["source"].update(revision=OLD_REVISION),
+            lambda r: r["source"].pop("build_capture_sha256"),
+            lambda r: r.update(numerical_revision=OLD_REVISION),
+            lambda r: r.update(reference_harness="wrong"),
+            lambda r: r.pop("runtime_identity"),
+            lambda r: r["runtime_identity"].pop("nvcc_version"),
+            lambda r: r["runtime_identity"].update(device="wrong"),
+            lambda r: r["runtime_identity"]["device"].update(capability=[8, 0]),
+            lambda r: r.update(cuda_visible_devices="0,1"),
+            lambda r: r.pop("actual_build_sidecars"),
+            lambda r: r["actual_build_sidecars"].pop(),
+            lambda r: r["actual_build_sidecars"].reverse(),
+            lambda r: r["actual_build_sidecars"][0].update(source_sha256="c" * 64),
+            lambda r: r["actual_build_sidecars"][0].update(arch="sm_80"),
+            lambda r: r["actual_build_sidecars"][0].update(flags=[]),
+            lambda r: r["actual_build_sidecars"][0].update(ptx_sha256="not-a-hash"),
+            lambda r: r["actual_build_sidecars"][0]["config"].update(ddf_shifting=False),
+            lambda r: r["source"]["harness_sha256"].update(extra="mixed"),
+            lambda r: r.update(viscosity=.01),
+            lambda r: r["tau_by_level"].reverse(),
+            lambda r: r["numerics"].update(ddf_shifting=False),
+            lambda r: r.update(initialization="different equilibrium"),
+            lambda r: r.update(refinements=[[(16, 16, 112, 104)]]),
+            lambda r: r["workload"].update(active_collision_updates=0),
+            lambda r: r["runtime_source"].update(kernel_root="/wrong/installed/tree"),
+            lambda r: r["early_pressure"]["rows"].pop(),
+            lambda r: r["early_pressure"]["rows"][8].update(step=65),
+            lambda r: r["early_pressure"]["rows"][-1].update(pressure_l2=.005),
+            lambda r: r["early_pressure"]["rows"][8].update(pressure_l2=float("nan")),
+            lambda r: r["early_pressure"].update(sampled_max_pressure_l2=.5),
+            lambda r: r["early_pressure"].update(enabled=False),
+        ]
+        for mutation in corruptions:
+            bad = deepcopy(good)
+            mutation(bad[-1])
+            with self.subTest(mutation=mutation):
+                result = assess(bad)
+                self.assertFalse(result["passed"])
+                json.dumps(result, allow_nan=False)  # failure summary itself remains serializable
+        self.assertTrue(assess(good, expected_revision=MOCK_REVISION)["passed"])
+        self.assertFalse(assess(good, expected_revision=OLD_REVISION)["passed"])
+        old = deepcopy(good)
+        for record in old:
+            record["source"].update(revision=OLD_REVISION,
+                source_tree_sha256="766e173df81d2881d3871007f15d5e321f5c7205ae578b0f80b43d1e7fe3e220")
+        self.assertFalse(assess(old)["passed"])
+        self.assertFalse(assess(good[:-1])["passed"])
+        self.assertFalse(assess(good + [good[-1]])["passed"])
+        self.assertFalse(assess([])["passed"])
+        incomplete = deepcopy(good)
+        incomplete[-1]["completed"] = False
+        self.assertFalse(assess(incomplete)["comparisons"][3]["passed"])
+
+    def test_pinned_build_sources_match_host_generated_inputs(self):
+        from CelerisLab.cuda import compiler_v2
+
+        for size in (128, 256, 512):
+            cfg = replace(run_case.config(size, 100), nx=10, ny=10)
+            cfg.validate()
+            root = compiler_v2.generate_config(cfg)
+            try:
+                actual = json.loads((Path(root) / ".celeris-build").read_text())
+                expected = build_metadata(size)
+                self.assertEqual(actual, {key: expected[key] for key in
+                                          ("source_sha256", "config", "n_objects")})
+            finally:
+                compiler_v2.cleanup_build_dir(root)
+
+    def test_scaled_geometry_work_and_frozen_gates(self):
+        data = records(True, run_case.SCALED_DIAGNOSTIC)
+        self.assertEqual(sum(r["workload"]["active_collision_updates"] for r in data), 4714397696)
+        self.assertEqual([r["viscosity"] for r in data], [.0768, .1536, .0768, .0768])
+        self.assertEqual(data[-1]["tau_by_level"], [.7303999999999999, .9608])
+        for r in data:
+            self.assertEqual([row["tstar"] for row in r["rows"]], TIMES)
+            self.assertEqual(len(r["early_pressure"]["rows"]), 65)
+            if r["depth"] == 2:
+                self.assertEqual(r["refinements"], [[(32, 32, 224, 192)]])
+                self.assertEqual(r["workload"]["active_cells_by_level"], [34816, 122880])
+                self.assertEqual(r["workload"]["level_hops"], [4096, 8192])
+        result = assess(data, MOCK_REVISION, diagnostic=run_case.SCALED_DIAGNOSTIC)
+        self.assertTrue(result["passed"])
+        self.assertEqual(result["floors"], dict(velocity_l2=.002, pressure_l2=.02, energy_relative=.004))
+        self.assertTrue(all(row["floor_dominates"] for row in result["comparisons"]))
+        data[-1]["rows"][-1]["velocity_l2"] = .00200001
+        self.assertFalse(assess(data, diagnostic=run_case.SCALED_DIAGNOSTIC)["passed"])
+        self.assertFalse(assess(data)["passed"])
+        data[-1]["rows"][-1]["velocity_l2"] = 0.0
+        for mutate in (lambda r: r.pop("diagnostic"), lambda r: r.update(diagnostic="wrong"),
+                       lambda r: r["source"].update(revision="wrong"),
+                       lambda r: r["early_pressure"].update(enabled=False),
+                       lambda r: r.update(refinements=[[(32, 32, 224, 200)]])):
+            bad = deepcopy(data)
+            mutate(bad[-1])
+            self.assertFalse(assess(bad, MOCK_REVISION, diagnostic=run_case.SCALED_DIAGNOSTIC)["passed"])
+
+    def test_raw_resolution_changes_and_reference_identity(self):
+        old, new = records(True), records(True, run_case.SCALED_DIAGNOSTIC)
+        for r in old:
+            r["source"]["revision"] = assessor.REFERENCE_REVISION
+        old[-2]["rows"][-1]["velocity_l2"] = .004  # historical constant failure remains usable
+        old[-1]["rows"][-1]["velocity_l2"] = .001
+        new[-1]["rows"][-1]["velocity_l2"] = .0015  # floor pass, but worse raw error
+        result = assessor.resolution_trend(new, old, MOCK_REVISION)
+        self.assertTrue(result["valid"])
+        self.assertTrue(result["trend_interpretation_ready"])
+        self.assertFalse(result["reference_scheme_results"]["constant"]["passed"])
+        self.assertEqual((len(result["per_time"]), len(result["worst_post_initial"]),
+                          len(result["uniform256_bridge"])), (80, 16, 20))
+        row = next(r for r in result["per_time"] if r["role"] == "projected_linear"
+                   and r["metric"] == "velocity_l2" and r["tstar"] == .48)
+        self.assertEqual((row["signed_change"], row["new_to_old"], row["change_percent"]), (.0005, 1.5, 50.))
+        self.assertTrue(assess(new, diagnostic=run_case.SCALED_DIAGNOSTIC)["passed"])
+        self.assertIsNone(result["per_time"][0]["new_to_old"])  # zero denominator is explicit
+        self.assertEqual(result["per_time"][0]["ratio_unavailable_reason"], "zero historical error")
+        new[-1]["rows"][-1]["velocity_l2"] = .06  # retain raw errors even when absolute screen fails
+        self.assertTrue(assessor.resolution_trend(new, old, MOCK_REVISION)["valid"])
+        self.assertFalse(assess(new, diagnostic=run_case.SCALED_DIAGNOSTIC)["passed"])
+        new[-1]["rows"][-1]["velocity_l2"] = .0015
+        for sample in ("rows", "early_pressure"):
+            bad = deepcopy(new)
+            if sample == "rows":
+                bad[0]["rows"][-1]["velocity_l2"] = .0001
+            else:
+                bad[0]["early_pressure"]["rows"][1]["pressure_l2"] = .009
+            result = assessor.resolution_trend(bad, old, MOCK_REVISION)
+            self.assertTrue(result["valid"])
+            self.assertFalse(result["trend_interpretation_ready"])
+        for mutate in (lambda r: r["source"].update(revision=MOCK_REVISION),
+                       lambda r: r["source"].update(source_tree_sha256="wrong"),
+                       lambda r: r["source"]["harness_sha256"].update(**{"oracle.py": "wrong"}),
+                       lambda r: r.update(diagnostic=run_case.SCALED_DIAGNOSTIC),
+                       lambda r: r.update(refinements=[]), lambda r: r["rows"].pop()):
+            bad = deepcopy(old)
+            mutate(bad[-1])
+            self.assertFalse(assessor.resolution_trend(new, bad, MOCK_REVISION)["valid"])
+        with tempfile.TemporaryDirectory() as tmp:
+            paths = [Path(tmp) / f"{i}.json" for i in range(4)]
+            for path, receipt in zip(paths, old):
+                path.write_text(json.dumps(receipt))
+            with self.assertRaisesRegex(ValueError, "receipt hashes"):
+                assessor.load_reference(paths)
+            witnesses = {p.name: hashlib.sha256(p.read_bytes()).hexdigest() for p in paths}
+            with patch.object(assessor, "REFERENCE_RECEIPTS", witnesses):
+                self.assertEqual(assessor.load_reference(paths), json.loads(json.dumps(old)))
+                with self.assertRaises(ValueError):
+                    assessor.load_reference(paths[:-1] + paths[:1])
+                paths[-1].write_text(paths[-1].read_text() + " ")
+                with self.assertRaises(ValueError):
+                    assessor.load_reference(paths)
+
+    def test_scaled_runner_requires_explicit_bounded_diagnostic(self):
+        with tempfile.TemporaryDirectory() as tmp:
+            base = ["run_case.py", "--repo", str(REPO), "--expected-revision", MOCK_REVISION,
+                    "--output", str(Path(tmp) / "case.json"), "--dry-run"]
+            diagnostic = ["--diagnostic", run_case.SCALED_DIAGNOSTIC, "--early-pressure"]
+            for n, depth, re, extra, valid in (
+                    (512, 1, 100, [], False), (512, 1, 100, diagnostic, True),
+                    (256, 2, 100, diagnostic, True), (128, 2, 100, diagnostic, False),
+                    (256, 3, 100, diagnostic, False), (256, 2, 1000, diagnostic, False),
+                    (256, 2, 100, diagnostic[:2], False), (512, 2, 100, diagnostic, False)):
+                argv = base + ["--n", str(n), "--depth", str(depth), "--re", str(re)] + extra
+                with self.subTest(argv=argv), patch.object(sys, "argv", argv), \
+                     patch.object(run_case, "verify_source", return_value=source()) as verify, \
+                     redirect_stdout(io.StringIO()), patch("sys.stderr", io.StringIO()):
+                    if valid:
+                        self.assertEqual(run_case.main(), 0)
+                    else:
+                        with self.assertRaises(SystemExit) as caught:
+                            run_case.main()
+                        self.assertEqual(caught.exception.code, 2)
+                        verify.assert_not_called()
+
+    def test_source_preflight_requires_clean_exact_revision_and_tree(self):
+        import oracle
+        from tests.validation.multigrid import check_projected_pairs as gate
+
+        for module in (run_case, oracle):
+            with self.subTest(imported_module=module.__name__), \
+                 patch.object(module, "__file__", "/wrong/checkout/" + Path(module.__file__).name), \
+                 patch.object(gate, "preflight") as preflight:
+                with self.assertRaisesRegex(RuntimeError, "Wrong runner or oracle checkout"):
+                    run_case.verify_source(REPO, MOCK_REVISION)
+                preflight.assert_not_called()
+        for expected, status, diff, fingerprint in (
+                (MOCK_REVISION, "", 0, SOURCE_SHA256),
+                (OLD_REVISION, "", 0, SOURCE_SHA256),
+                (MOCK_REVISION, " M tracked.py", 0, SOURCE_SHA256),
+                (MOCK_REVISION, "", 1, SOURCE_SHA256),
+                (MOCK_REVISION, "", 0, "wrong")):
+            provenance = dict(source(), source_tree_sha256=fingerprint)
+            with self.subTest(expected=expected, status=status, diff=diff, fingerprint=fingerprint), \
+                 patch.object(gate.subprocess, "check_output", side_effect=[MOCK_REVISION, status]), \
+                 patch.object(gate.subprocess, "call", return_value=diff), \
+                 patch.object(run_case, "provenance", return_value=provenance):
+                if expected != MOCK_REVISION or status or diff or fingerprint != SOURCE_SHA256:
+                    with self.assertRaises((ValueError, RuntimeError)):
+                        run_case.verify_source(REPO, expected)
+                else:
+                    self.assertEqual(run_case.verify_source(REPO, expected), source())
+
+    def test_explicit_opt_in_selector_and_dry_run_without_cuda(self):
+        with tempfile.TemporaryDirectory() as tmp:
+            output = Path(tmp) / "case.json"
+            base = ["run_case.py", "--repo", str(REPO), "--re", "100", "--n", "128",
+                    "--depth", "1", "--output", str(output)]
+            pinned = base + ["--expected-revision", MOCK_REVISION]
+            for argv, device in ((base + ["--run-gpu"], "0"), (pinned, "0"),
+                    (pinned + ["--run-gpu"], ""), (pinned + ["--run-gpu"], "0,1"),
+                    (pinned + ["--run-gpu"], "-1"),
+                    (pinned + ["--run-gpu", "--explosion", "projected"], "0"),
+                    (pinned + ["--run-gpu", "--explosion", "projected_linear"], "0")):
+                with self.subTest(argv=argv, device=device), patch.object(sys, "argv", argv), \
+                     patch.dict("os.environ", CUDA_VISIBLE_DEVICES=device), \
+                     patch.object(run_case, "verify_source") as verify, patch("sys.stderr", io.StringIO()):
+                    with self.assertRaises(SystemExit) as caught:
+                        run_case.main()
+                    self.assertEqual(caught.exception.code, 2)
+                    verify.assert_not_called()
+                    self.assertFalse(output.exists())
+            stdout = io.StringIO()
+            cuda_modules = {name: None for name in ("pycuda", "CelerisLab.cuda.context",
+                           "CelerisLab.lbm.block_stepper", "CelerisLab.lbm.refinement_stepper")}
+            with patch.object(sys, "argv", pinned + ["--dry-run"]), \
+                 patch.dict(sys.modules, cuda_modules), patch.dict("os.environ", CUDA_VISIBLE_DEVICES=""), \
+                 patch.object(run_case, "verify_source", return_value=source()) as verify, \
+                 patch.object(run_case, "runtime_identity", side_effect=AssertionError("CUDA reached")), \
+                 redirect_stdout(stdout):
+                self.assertEqual(run_case.main(), 0)
+            verify.assert_called_once_with(REPO, MOCK_REVISION, "taylor_green", probes=False)
+            self.assertTrue(json.loads(stdout.getvalue())["dry_run"])
+            self.assertFalse(output.exists())
+
+    def test_runtime_rejects_installed_kernel_tree(self):
+        from CelerisLab.cuda import compiler_v2
+        with patch.object(compiler_v2, "_KERNEL_DIR", "/other/CelerisLab/lbm/kernels"):
+            with self.assertRaisesRegex(RuntimeError, "CUDA source/include root"):
+                run_case.runtime_source(REPO)
+
+    def test_existing_output_is_never_overwritten(self):
+        with tempfile.TemporaryDirectory() as tmp:
+            output = Path(tmp) / "failed.json"
+            output.write_text('{"completed": false}\n')
+            argv = ["run_case.py", "--repo", str(REPO), "--re", "100", "--n", "128",
+                    "--depth", "1", "--output", str(output),
+                    "--expected-revision", MOCK_REVISION, "--run-gpu"]
+            with patch.object(sys, "argv", argv), patch("sys.stderr", io.StringIO()):
+                with self.assertRaises(SystemExit) as caught:
+                    run_case.main()
+            self.assertEqual(caught.exception.code, 2)
+            self.assertEqual(output.read_text(), '{"completed": false}\n')
+            result = subprocess.run([sys.executable, str(Path(__file__).with_name("assess_projected_pairs.py")),
+                                     "unused.json", "--expected-revision", MOCK_REVISION,
+                                     "--output", str(output)], capture_output=True)
+            self.assertEqual(result.returncode, 2)
+            self.assertEqual(output.read_text(), '{"completed": false}\n')
+
+    def test_mocked_runner_default_early_and_failure(self):
+        # Replace the GPU context and steppers before import. No CUDA module or flow is used.
+        cases = [(early, depth, fail, 128, None, "projected_linear" if early else "constant")
+                 for early, depth, fail in
+                 ((False, 1, None), (False, 2, None), (True, 2, None),
+                                   (True, 2, "resource"), (True, 2, "nonfinite"),
+                                   (True, 2, "probe_nonfinite"))]
+        cases += [(True, depth, None, n, run_case.SCALED_DIAGNOSTIC, scheme)
+                  for n, depth, scheme in ((256, 1, "constant"), (512, 1, "constant"),
+                                          (256, 2, "constant"), (256, 2, "projected_linear"))]
+        for early, depth, fail, n, diagnostic, scheme in cases:
+            calls, selectors = [], []
+
+            class FakeRun:
+                def __init__(self, *args, **kwargs):
+                    self.step_count = 0
+                    if "coarse_boundary" in kwargs:
+                        selectors.append(kwargs["explosion"])
+
+                def __enter__(self):
+                    return self
+
+                def __exit__(self, *args):
+                    pass
+
+                def initialize(self, *arrays):
+                    pass
+
+                def step(self, count):
+                    self.assertion = count >= 0
+                    if not self.assertion:
+                        raise AssertionError("backward step")
+                    if fail == "resource" and self.step_count >= 16:
+                        raise MemoryError("mock resource failure")
+                    self.step_count += count
+                    calls.append(self.step_count)
+
+                def download(self):
+                    return None
+
+            modules = {
+                "CelerisLab.cuda.context": SimpleNamespace(CudaContext=FakeRun),
+                "CelerisLab.lbm.block_stepper": SimpleNamespace(PeriodicBlockStepper=FakeRun),
+                "CelerisLab.lbm.refinement_stepper": SimpleNamespace(FixedPatchStepper=FakeRun),
+            }
+
+            def metric(arrays, masks, step, n, nu, mass):
+                return dict(step=step, tstar=step*U/n, mass=16384.,
+                            **{k: float("nan") if ((fail == "nonfinite" and step == 16)
+                               or (fail == "probe_nonfinite" and step == 1))
+                               and k == "energy_relative" else 0.0 for k in LIMITS})
+
+            with tempfile.TemporaryDirectory() as tmp:
+                output = Path(tmp) / "case.json"
+                argv = ["run_case.py", "--repo", str(REPO), "--re", "100", "--n", str(n),
+                        "--depth", str(depth), "--output", str(output),
+                        "--expected-revision", MOCK_REVISION, "--run-gpu"]
+                argv += ["--explosion", scheme]
+                if early:
+                    argv += ["--early-pressure"]
+                if diagnostic:
+                    argv += ["--diagnostic", diagnostic]
+                with patch.dict(sys.modules, modules), patch.object(sys, "argv", argv), \
+                     patch.dict("os.environ", CUDA_VISIBLE_DEVICES="mock"), \
+                     patch.object(run_case, "verify_source", return_value=source()) as verify, \
+                     patch.object(run_case, "runtime_identity", return_value=deepcopy(RUNTIME)), \
+                     patch.object(run_case, "build_capture", return_value=nullcontext()), \
+                     patch.object(run_case, "metrics", side_effect=metric), redirect_stdout(io.StringIO()):
+                    if fail:
+                        with self.assertRaises(MemoryError if fail == "resource" else FloatingPointError):
+                            run_case.main()
+                    else:
+                        self.assertEqual(run_case.main(), 0)
+                receipt = json.loads(output.read_text())
+                verify.assert_called_once_with(REPO, MOCK_REVISION, "taylor_green", probes=False)
+                self.assertEqual(selectors, [scheme] if depth == 2 else [])
+                self.assertEqual(receipt["source"], source())
+                self.assertEqual(receipt["runtime_identity"], RUNTIME)
+                self.assertEqual(receipt["completed"], not fail)
+                self.assertEqual(receipt.get("diagnostic"), diagnostic)
+                self.assertEqual(calls[:2], [0, 1])  # READY probe is part of this trajectory
+                if not fail:
+                    self.assertEqual([r["tstar"] for r in receipt["rows"]], TIMES)
+                    self.assertEqual(len(receipt["early_pressure"]["rows"]), 65 if early else 0)
+                    self.assertEqual(calls[-1], 16*n)
+                else:
+                    self.assertEqual(len(receipt["rows"]), 1)
+                    self.assertEqual(len(receipt["early_pressure"]["rows"]),
+                                     {"resource": 3, "nonfinite": 2, "probe_nonfinite": 1}[fail])
+                    if fail == "probe_nonfinite":
+                        self.assertNotIn("ready_after_step", receipt)
+
+
+if __name__ == "__main__":
+    unittest.main()