refactor(workflow): update JFM research workflow and remove obsolete figures

Revise the JFM research workflow documentation to clarify project structure, decision-making processes, and tool routing. Remove outdated figures and images that are no longer relevant to the current manuscript. Ensure that the workflow aligns with the latest research objectives and safety protocols.
2026-08-11 21:25:33 +08:00
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+# Round-5 Agent Registry
+
+**Version:** `R5-REGISTRY-v4-citation-closeout`  
+**State:** post-R5 citation integration globally recounted and statically closed out; all units retain the unchanged final-audit disposition. Review assembly is conditionally admitted; literature-source, artifact and runtime gates remain separate.  
+**Rule:** one persistent writer per fixed unit. Agent IDs are recorded only after launch; later work resumes that ID with packet/registry plus an approved delta.
+
+| Unit | Sections | Canonical packet | Writer agent ID | Stage | Output ownership | Last accepted feedback | Unresolved gates | Next resume goal | Memory record |
+|---|---|---|---|---|---|---|---|---|---|
+| A | S1–S2 | `01_CONTEXT_PACKET_A_S01_S02.md` v1 | `5ddac128-c9c7-4b83-8fb9-aed05023a9b0` | `final-audit / S1–S2 conditional` | S1/S2 TeX and audits complete; shared `audits/WAVE_S02_S03_INTERFACE_AUDIT.md` | Final bounded S1 correction integrated: execution for Kármán/Illusion/Vortex, target-relative field proximity Kármán-only; Erase unresolved; no research | S2 selected-run/source/display/Reynolds gates; S1 bibliography and global interface closed | Runtime compile/production gates only; no prose reopening absent approved delta | Nowledge checkpoints previously read; no new memory/research |
+| B | S3–S4 | `02_CONTEXT_PACKET_B_S03_S04.md` v1 | `a7e7df0b-a529-47e3-85b5-95683f9e7e24` | `final-audit / S3–S4 conditional` | `sections/SECTION_03_CAPABILITY_PROGRESSION.tex`; `sections/SECTION_04_KARMAN_RESULTS.tex`; corresponding audits | First drafts, bounded five-paper full-PDF diagnosis, integrated rewrite and approved S2--S3 interface findings and targeted S4/S5 evidence reconciliation complete; interface owner: `audits/SECTION_02_AUDIT.md#s2s3-interface-audit` | S3 exact panel/offset/role provenance, captions and art; S4 redraw/crops/scales, spectrum window, action units and zero portrait; $U_0/U_{ref}$ conversion remains unbound | Enter gated figure production only under source/provenance controls | `no durable write; repository audit is authority` |
+| C | S5–S6 | `03_CONTEXT_PACKET_C_S05_S06.md` v1 | `cf2466a8-c3c8-44e9-a926-e7d826a8816a` | `final-audit / S5–S6 conditional` | S5/S6 TeX and audits; `audits/WAVE_S04_S06_INTERFACE_AUDIT.md` | Final Unit-C definitions integrated: S5 reflection/force/error contracts and S6 T/0/C/D plus consistent two-component velocity/residual notation; estimand separation retained | Historical velocity reference; PPO/SR mismatch; action extraction/figures; S6 mean window `[480,840)` bound; composites/POD production remains open; bibliography keys closed | Enter gated figure production; retain estimand and U0/Uref boundaries | `e06d3316-e9ea-4efa-9db9-7bee3f685904` |
+| D | S7–S8 | `04_CONTEXT_PACKET_D_S07_S08.md` v1 | `da7067b9-38f7-4b50-bc3b-e128f9f08a2f` | `final-audit / S7–S8 conditional` | `sections/SECTION_07_CROSS_CASE_EXTENSIONS.tex`; `audits/SECTION_07_AUDIT.md`; `sections/SECTION_08_STEADY_THEORY.tex`; `audits/SECTION_08_AUDIT.md` | Final Unit-D delta integrated: exact bounded S7 no-scalar claim and S8 cross-sectional two-component L-infinity endpoint metric; $g$ basis/sign/units retained | S7 evaluators/role visuals and Illusion scalar binding; S8 equation source/typesetting, source/provenance/artwork, finite-image labeling and mechanism gates | Enter gated role-field/steady production; quantitative Vortex/Erase remain blocked | `repository-recorded; no durable-memory write` |
+| E | S9–S10 | `05_CONTEXT_PACKET_E_S09_S10.md` v1 | `b238cc11-c57b-481f-922d-ae7c410171c0` | `final-audit / S9 blocked, S10 pass` | S9 author-field placeholder/audit and S10 five-paragraph TeX/audit complete | Accepted S7–S9 finding retained; S10 four-paper rhetoric diagnosis and bounded causal-wording fix integrated | All S9 author/provenance/result-import gates; S1/S10/global interface closed | Retain S9 omission; reopen only after author supply and targeted provenance audit | `repository audits written; no durable-memory write` |
+
+## Stage vocabulary
+`controls-ready → preflight → first-draft → literature-diagnosed → rewrite-approved → integrated-rewrite → section-audit → section-pass → global-pass → final-audit`.
+
+A stage never closes an evidence or artifact gate. Wave auditors report findings only; the coordinator approves deltas and the original writer integrates them.
+
+## Final normalization — 2026-08-11
+
+All units remain at `final-audit` after the delta-only refresh. This stage records prose/static disposition only: S1 and S10 pass; S2–S8 are conditional on their listed source/artifact gates; S9 substantive prose is blocked and omitted. Runtime compilation remains a conditional production gate. The authoritative post-integration count is 7,434 substantive words (S4–S6: 2,496 / 33.58%) in `00_LIVE_LENGTH_SHARE_LEDGER.md`. All 49 bibliography keys are active and resolve. `00_R5_FINAL_AUDIT.md` deliberately retains its pre-expansion overall disposition; post-integration findings are in `audits/CITATION_EXPANSION_FINAL_AUDIT.md`.
@@ -0,0 +1,194 @@
+# Round-5 Authoritative Citation and Bibliography Ledger
+
+**Project / round / unit:** DynamisLab JFM / Round 5 / bibliography integration.  
+**Owned bibliography:** `R5_REFERENCES.bib`.  
+**Scope:** reader-facing external propositions only. Literature never verifies a DynamisLab result, number, acquisition, artifact, mechanism, priority or readiness state. Section prose remains unchanged in this task.
+
+## Approved reader-facing key map
+
+| Key | Exact identity | DOI | Approved section / exact proposition placement | Source state |
+|---|---|---|---|---|
+| `PendryEtAl2006Controlling` | J. B. Pendry, D. Schurig & D. R. Smith, “Controlling electromagnetic fields,” *Science* 312, 1780–1782 (2006) | `10.1126/science.1125907` | **S01-P01**, after “linear or effectively linear field problems”: transformation-based cloak genealogy only | `full-PDF` repository record |
+| `MaEtAl2013ActiveCloaking` | Qian Ma, Zhong Lei Mei, Shou Kui Zhu, Tian Yu Jin & Tie Jun Cui, “Experiments on active cloaking and illusion for Laplace equation,” *Physical Review Letters* 111, 173901 (2013) | `10.1103/PhysRevLett.111.173901` | **S01-P01**, same sentence: active cloak and non-zero illusion genealogy for a Laplace problem | `full-PDF` repository record |
+| `UrzhumovSmith2012ActiveCloaks` | Yaroslav A. Urzhumov & David R. Smith, “Flow stabilization with active hydrodynamic cloaks,” *Physical Review E* 86, 056313 (2012) | `10.1103/PhysRevE.86.056313` | **S01-P01**, at the finite-Re transfer boundary: restricted active hydrodynamic-cloak precedent; not evidence for this plant | `full-PDF` repository record |
+| `DengEtAl2020PinballBifurcations` | Nan Deng, Bernd R. Noack, Marek Morzyński & Luc R. Pastur, “Low-order model for successive bifurcations of the fluidic pinball,” *Journal of Fluid Mechanics* 884, A37 (2020) | `10.1017/jfm.2019.959` | **S01-P02**, after “rich nonlinear wake dynamics”: external fluidic-pinball dynamical context | `full-PDF` reread in R5 |
+| `CornejoMacedaEtAl2021PinballControl` | G. Y. Cornejo Maceda, Y. Li, F. Lusseyran, M. Morzyński & B. R. Noack, “Stabilization of the fluidic pinball with gradient-enriched machine learning control,” *Journal of Fluid Mechanics* 917, A42 (2021) | `10.1017/jfm.2021.301` | **S01-P02**, after “open- and closed-loop control”: prior pinball control context only | `full-PDF` reread in R5 |
+| `RabaultEtAl2019DRLFlowControl` | Jean Rabault, Miroslav Kuchta, Atle Jensen, Ulysse Réglade & Nicolas Cerardi, “Artificial neural networks trained through deep reinforcement learning discover control strategies for active flow control,” *Journal of Fluid Mechanics* 865, 281–302 (2019) | `10.1017/jfm.2019.62` | **S01-P03**, after the model-free DRL motivation; optionally **S02-P02b** after the first PPO sentence if the method section needs a direct flow-control precedent | `full-PDF` reread in R5 |
+| `SchulmanEtAl2017PPO` | John Schulman, Filip Wolski, Prafulla Dhariwal, Alec Radford & Oleg Klimov, “Proximal policy optimization algorithms,” arXiv:1707.06347 (2017) | no DOI; stable arXiv identifier `1707.06347` | **S02-P02b**, immediately after the clipped-surrogate PPO definition; algorithm definition only | exact repository identity checked |
+| `ParisEtAl2021RobustFlowControl` | Romain Paris, Samir Beneddine & Julien Dandois, “Robust flow control and optimal sensor placement using deep reinforcement learning,” *Journal of Fluid Mechanics* 913, A25 (2021) | `10.1017/jfm.2020.1170` | **S01-P03**, with Rabault after the limited-observation DRL precedent; not evidence that the present sensors are optimal | `full-PDF` reread in R5 |
+| `GautierEtAl2015ClosedLoop` | N. Gautier, J.-L. Aider, T. Duriez, B. R. Noack, M. Segond & M. Abel, “Closed-loop separation control using machine learning,” *Journal of Fluid Mechanics* 770, 442–457 (2015) | `10.1017/jfm.2015.95` | **S01-P04** and **S05-P01**, at the proposition that a readable learned feedback law must be judged in execution; external methodological precedent only | `full-PDF` reread in R5 |
+| `LoiseauEtAl2018SparseROM` | Jean-Christophe Loiseau, Bernd R. Noack & Steven L. Brunton, “Sparse reduced-order modelling: sensor-based dynamics to full-state estimation,” *Journal of Fluid Mechanics* 844, 459–490 (2018) | `10.1017/jfm.2018.147` | **S01-P04** and **S06-P05**, at the sparse-information/full-field and observable-associated versus energy-ranked basis distinction | `full-PDF` reread in R5 |
+| `RaibaudoEtAl2020PinballControl` | Cédric Raibaudo, Peng Zhong, Bernd R. Noack & Robert J. Martinuzzi, “Machine learning strategies applied to the control of a fluidic pinball,” *Physics of Fluids* 32, 015108 (2020) | `10.1063/1.5127202` | **S01-P02** and **S02-P02b**, prior fluidic-pinball control and downstream sensing context only | repository bibliography identity; DOI metadata checked |
+| `LiEtAl2022FlowEstimation` | Songqi Li, Wenpeng Li & Bernd R. Noack, “Machine-learned control-oriented flow estimation for multi-actuator multi-sensor systems exemplified for the fluidic pinball,” *Journal of Fluid Mechanics* 952, A36 (2022) | `10.1017/jfm.2022.908` | **S01-P04** and **S02-P02b**, sparse-sensor-to-full-field estimation and pinball sensing context; no validation of the present sensor arrangement | repository bibliography identity; publisher metadata checked |
+| `SchlegelEtAl2012LeastOrder` | Michael Schlegel, Bernd R. Noack, Peter Jordan, Andreas Dillmann, Elmar Gröschel, Wolfgang Schröder, Mingjun Wei, Jonathan B. Freund, Oliver Lehmann & Gilead Tadmor, “On least-order flow representations for aerodynamics and aeroacoustics,” *Journal of Fluid Mechanics* 697, 367–398 (2012) | `10.1017/jfm.2012.70` | **S06-P05**, after the POD/observable-oriented basis distinction; methodological context only | `full-PDF` reread in R5 |
+| `Boree2003ExtendedPOD` | J. Borée, “Extended proper orthogonal decomposition: a tool to analyse correlated events in turbulent flows,” *Experiments in Fluids* 35, 188–192 (2003) | `10.1007/S00348-003-0656-3` | **S06-P05**, same methodological sentence: external precedent for correlation-oriented modal analysis; no CCD validation or causal role | `full-PDF` reread in R5 |
+| `Crowdy2006MultipleCylinders` | Darren G. Crowdy, “Analytical solutions for uniform potential flow past multiple cylinders,” *European Journal of Mechanics B/Fluids* 25, 459–470 (2006) | `10.1016/j.euromechflu.2005.11.005` | **S08-P04**, after introducing the irrotational impermeability family: mathematical outer-flow precedent only | `full-PDF` reread in R5 |
+| `UedaEtAl2003RotatingCylinders` | Y. Ueda, A. Sellier, T. Kida & M. Nakanishi, “On the low-Reynolds-number flow about two rotating circular cylinders,” *Journal of Fluid Mechanics* 495, 255–281 (2003) | `10.1017/S002211200300627X` | **S08-P04**, after the rotating no-slip incompatibility / validity boundary: viscous rotating-cylinder boundary context only, not finite-$Re_D=50$ verification | `full-PDF` reread in R5 |
+
+These sixteen records remain the legacy cited subset. Bibliography normalization added 15 high-confidence local identities and 18 full-PDF-verified Undermind identities, producing 49 unique records. The subsequent prose-integration pass is complete: all 49 keys are now active.
+
+## Full-PDF audit identities not admitted as reader-facing citations
+
+The section audits also used the following papers for rhetoric, ordering, caveat adjacency, caption discipline or placeholder design. They are deliberately excluded from `R5_REFERENCES.bib` because no retained reader-facing external proposition currently needs them:
+
+- S02–S04 diagnosis: Mao et al. (2015), `10.1017/jfm.2015.304`; Xia et al. (2024), `10.1017/jfm.2024.69`; Wang et al. (2024), `10.1017/jfm.2024.333`. Paris et al. is admitted only for the S01 placement above.
+- S05–S06 diagnosis: Cornejo Maceda et al., Gautier et al., Loiseau et al., Schlegel et al. and Borée are admitted only for the placements above; no additional diagnosis paper is retained merely for rhetoric.
+- S07–S08 diagnosis: Deng et al. (2021), `10.1017/jfm.2021.299`; Chan et al. (2011), `10.1017/jfm.2011.134`. Cornejo Maceda et al., Crowdy and Ueda et al. are admitted only for the placements above.
+- S09 reporting diagnosis: Bhattacharyya et al. (2022), `10.1017/jfm.2022.792`; Khan et al. (2023), `10.1017/jfm.2023.549`; Klotz et al. (2024), `10.1017/jfm.2024.639`; Zhou et al. (2020), `10.1017/jfm.2020.392`. S09 remains an author-field placeholder and retains no reader-facing citation.
+- S10 rhetoric diagnosis: Li & Zhang (2022), `10.1017/jfm.2021.1045`, plus Deng, Cornejo Maceda and Rabault. S10 imports established internal synthesis only and retains no reader-facing citation.
+
+## Existing bibliography suitability and stale/conflicting records
+
+Neither existing repository bibliography is safe as the authoritative R5 source:
+
+- `../My_JFM/jfm.bib` is coupled to the stale `FLMguide.tex` draft and mixes useful records with incomplete or conflicting metadata. Most importantly, key `Urzhumov2012` actually contains the different 2011 paper “Fluid flow control with transformation media,” omits its DOI, and cannot represent the intended 2012 active-hydrodynamic-cloak source. `Gautier2015` and `Boree2003` also omit verified DOIs. Several later JFM records omit volume/article metadata. The file is left untouched.
+- `../../My_Confirmation/mybibfile.bib` uses a separate thesis-era key scheme, omits DOIs on relevant records such as Pendry and Rabault, and contains at least one visibly malformed author token (`<? format?>`). It is not imported into R5.
+- The old key `Urzhumov2012` is therefore **prohibited** in R5. Use `UrzhumovSmith2012ActiveCloaks` for DOI `10.1103/PhysRevE.86.056313`. The distinct 2011 transformation-media paper is not currently needed.
+- Current section prose still contains legacy keys because prose was explicitly out of scope. The required insertion-pass substitutions are: `Deng2020` → `DengEtAl2020PinballBifurcations`; `CornejoMaceda2021` → `CornejoMacedaEtAl2021PinballControl`; `Raibaudo2020` → `RaibaudoEtAl2020PinballControl`; `Rabault2019` → `RabaultEtAl2019DRLFlowControl`; `Paris2021` → `ParisEtAl2021RobustFlowControl`; `Schulman2017` → `SchulmanEtAl2017PPO`; `Gautier2015` → `GautierEtAl2015ClosedLoop`; `Loiseau2018` → `LoiseauEtAl2018SparseROM`; `Li2022` → `LiEtAl2022FlowEstimation`; and `Boree2003` → `Boree2003ExtendedPOD`. These legacy keys are not approved for final R5 assembly.
+
+## Validation record
+
+- Key policy: descriptive `AuthorEtAlYearTopic` keys; no collision with either existing bibliography.
+- DOI uniqueness: one normalized DOI per DOI-bearing R5 entry; no duplicate DOI within `R5_REFERENCES.bib`.
+- Identity check: titles/authors/DOIs cross-checked against current repository authorities and publisher/index metadata where needed. The misleading web-search result for `10.1017/S002211200300627X` was rejected; repository full-PDF authority and the publisher DOI resolve to Ueda, Sellier, Kida & Nakanishi.
+- Syntax: no `bibtex`/`biber` executable is installed in the repository environment. The bibliography-normalization audit records the current static parser result for 49 entries, unique keys, normalized DOI uniqueness and balanced braces.
+- Section prose and `../My_JFM/FLMguide.tex` were not edited.
+
+## Evidence-use closeout
+
+Nowledge was searched narrowly for R5 citation/bibliography decisions and used only for navigation. All ten section audits, the current R5 citation ledger, R5 section TeX, both repository `.bib` files and the legacy TeX bibliography calls were inspected. Literature states above preserve the audits' `full-PDF` versus repository-record distinctions. No literature source is assigned an internal-result role.
+
+## Post-R5 local-source expansion control
+
+This control originally reopened citation planning only. Bibliography normalization admitted the selected 15 high-confidence local identities and all 18 verified Undermind identities; the later authorized prose-integration pass then placed all 33. The current closeout does not alter section prose, bibliography or `00_R5_FINAL_AUDIT.md`.
+
+The merged local-source audit is `audits/CITATION_EXPANSION_LOCAL_SOURCE_AUDIT.md`. It consolidates the Confirmation and legacy `My_JFM` source maps, gives paragraph-level jobs, preserves duplicate and identity-collision handling, and separates the local wave from later Undermind gap searches.
+
+### Expansion arithmetic and decision boundary
+
+- Confirmation source: 35 unique cited keys / 53 cited-key occurrences; exact current-R5 duplicates are `pendry2006controlling` → `PendryEtAl2006Controlling` and `rabault2019artificial` → `RabaultEtAl2019DRLFlowControl`.
+- Legacy `My_JFM`: 9 active keys / 10 cited-key occurrences; exact current-R5 duplicates are `Gautier2015` → `GautierEtAl2015ClosedLoop`, `Deng2020` → `DengEtAl2020PinballBifurcations`, `CornejoMaceda2021` → `CornejoMacedaEtAl2021PinballControl`, and `Boree2003` → `Boree2003ExtendedPOD`.
+- High-confidence local wave: **15 net-new identities** (12 Confirmation identities, including one conventional AFC example, plus 3 legacy identities). If all pass full-text verification and sentence-level review, the bibliography would rise from **16 to 31 unique references**.
+- Optional local wave: **4 additional net-new identities**. If all high-confidence and optional identities pass, the ceiling would be **19 net-new / 35 total unique references**.
+- Planned substantive uplift: S1 +300–430, S2 +130–200, S5 +90–150 and S6 +15–35 words, for **+535–815 words** overall. Applied to the current uniform count of 6,303, the projected body is **6,838–7,118 words**. These are controlled ranges, not padding quotas.
+- S3, S4, S7, S8 and S10 receive no expansion by default. A future insertion requires a proposition that cannot be owned more precisely by S1, S2, S5 or S6.
+
+Every local-wave record remains `local-bibliography/context mapped, full text unverified` and is now bibliography-added with provisional metadata flags retained in the audits. Bibliographic mapping can nominate an external proposition; it cannot support detailed wording until full text is read. It cannot verify any internal result, number, acquisition, artifact, mechanism, readiness state or priority claim.
+
+### Collision and quarantine controls
+
+- `Urzhumov2012` in legacy `jfm.bib` is the **2011** PRL article “Fluid flow control with transformation media”; current `UrzhumovSmith2012ActiveCloaks` is the **2012** PRE article “Flow stabilization with active hydrodynamic cloaks”. They are distinct identities. The old misleading key remains prohibited and the 2011 paper is not in the local import wave.
+- `Loiseau2018Galerkin` (Loiseau & Brunton, JFM 838, constrained sparse Galerkin regression) and current `LoiseauEtAl2018SparseROM` (Loiseau, Noack & Brunton, JFM 844, sensor-based dynamics to full-state estimation) are distinct papers, not duplicate keys.
+- Hard quarantine: positive Illusion SR; cross-case SR transfer; OID; CCD causality, validation or triangulation; old Reynolds/configuration chains; internal old numbers; experiment validation; and priority or first-of-kind wording. No local source can lift those ceilings.
+
+### Verification gate
+
+Before any bibliography or TeX insertion: verify identity and DOI/identifier; read the full text for the exact proposition; replace the provisional key with a collision-safe R5 key; check paragraph ownership and adjacent caveat; rerun unique-key, unresolved-key, uncited-entry and word-count checks; then issue a new audit. The current final-audit `CONDITIONAL PASS` is unchanged.
+
+
+## Post-R5 Undermind verified gap wave
+
+**Scope:** existing DynamisLab workspace only; no new search or deep search. This verified pool is now bibliography-added; citation insertion remains a separate prose unit. Each selected identity was checked with `get_paper_info(show_doi=true)` and its exact proposition with a bounded `read_pdfs` question.
+
+| Job | Key | Identity / DOI | Verified proposition and passage | Safe topic | State |
+|---|---|---|---|---|---|
+| S1-P3 | `Fan20b` | Fan et al., PNAS 117 (2020), `10.1073/pnas.2004939117` | RL operated rotating control cylinders in towing experiments and simulations (abstract p.1; Technical Approach p.2). | Experimental/numerical bluff-body RL precedent only. | `full-PDF`, pp.1--2 |
+| S1-P3 | `Li21` | Li & Zhang, JFM 932 (2022), `10.1017/jfm.2021.1045` | Sparse-probe control depends on placement relative to a Re/blockage-dependent sensitive region (abstract p.1; §§5.6, 6.1, pp.26--28). | Sparse RL sensing is task- and flow-dependent. | `full-PDF`, pp.1, 26--28 |
+| S2 observation | `Mar24b` | Marra et al., JFM 996 (2024), `10.1017/jfm.2024.593` | A five-dimensional pinball manifold separates three actuation and two shedding amplitude/phase coordinates; estimation uses two deliberately placed measurements, without placement optimization (§§4.2--5, pp.8--11). | Actuation and sparse wake data encode complementary coordinates. | `full-PDF`, pp.8--11 |
+| S2 placement | `Jin21` | Jin et al., JFM 932 (2022), `10.1017/jfm.2021.948` | Estimation-optimal placement is not feedback-optimal because downstream information growth trades against convective lag (§§4.1.3, 4.4.2, pp.15, 25). | Estimation and feedback impose different placement requirements. | `full-PDF`, pp.15, 25 |
+| S2 periodic sensing | `Gon19` | Gong et al., Phys. Rev. Fluids 5 (2020), `10.1103/PhysRevFluids.5.023901` | One sensor plus a harmonic model estimates periodic shedding in the studied regimes; higher harmonics are inferred from the fundamental (abstract p.1; §V.D p.11). | A phase-bearing sparse signal can encode dominant periodic dynamics. | `full-PDF`, pp.1, 11 |
+| S2 force/phase | `Nai20b` | Nair et al., JFM 927 (2021), `10.1017/jfm.2021.735` | Lift/drag time series replace online full-field access for periodic phase control, including rotary actuation (abstract p.1; §2.1 p.6; §3.2.1 p.11; conclusions p.18). | Force signals can carry periodic phase information. | `full-PDF`, pp.1, 6, 11, 18 |
+| S2 DRL state | `Wan23b` | Wang et al., JFM (2024), `10.1017/jfm.2024.333` | Dynamic lifting adds 30 prior action-step pressure histories, with dimensionality/redundancy caveats (§2.2 p.8; §4.2.1 p.16). | Temporal features can enrich sparse instantaneous sensing at a cost. | `full-PDF`, pp.8, 16 |
+| S5-P1 | `Deb15` | Debien et al., Exp. Fluids 57 (2016), `10.1007/s00348-016-2126-8` | GP expression-tree laws are compiled and evaluated in the real-time experimental loop (§§3.1--3.2, pp.8--9). | Direct symbolic controller search differs from post-hoc distillation. | `full-PDF`, pp.8--9 |
+| S5-P1/P5 | `Cas22` | Castellanos et al., Phys. Fluids 34 (2022), `10.1063/5.0087208` | DRL and LGPC are tested closed-loop; LGPC yields compact sensor-selective laws while DRL is less interpretable and has different tested robustness (§§II.C--E pp.5--6; §III.A p.7; conclusions p.13). | Policy-map interpretability and executed behaviour are distinct. | `full-PDF`, pp.5--7, 13 |
+| S5-P1 | `Ren19` | Ren et al., Phys. Fluids 31 (2019), `10.1063/1.5115258` | GP symbolic expressions become explicit nonlinear feedback laws and each is evaluated in coupled CFD/FSI (§II.C pp.4--5; law p.7). | Direct GP laws are plant-evaluated controllers. | `full-PDF`, pp.4--7 |
+| S5-P5 | `Zol25` | Zolman et al., Nat. Commun. 16 (2025), `10.1038/s41467-025-65738-4` | SINDy-RL jointly learns surrogate dynamics/reward and policy in Dyna-style model-based RL, including a flow example (abstract p.1; framework p.3). | Joint model-based sparse RL is not fixed-policy post-hoc regression. | `full-PDF`, pp.1, 3 |
+| S6 lineage | `Jor07` | Jordan et al., AIAA 2007-3602, `10.2514/6.2007-3602` | MOD resolves velocity modes by linear observability in far-field pressure rather than kinetic energy (abstract p.1; §II pp.3, 5). | Observable-ranked decomposition ancestry only. | `full-PDF`, pp.1, 3, 5 |
+| S6 mean field | `Tad10` | Tadmor et al., Phys. Fluids 22 (2010), `10.1063/1.3298960` | Shift modes represent changing means and their bilateral coupling with fluctuations in natural/actuated wakes (abstract p.1; §III.B.2 p.8). | Mean and fluctuation organization are distinct coupled objects. | `full-PDF`, pp.1, 8 |
+| S6 lineage | `Dis18` | Discetti et al., Exp. Therm. Fluid Sci. 93 (2018), `10.1016/j.expthermflusci.2017.12.011` | POD point/field temporal modes are correlated for reconstruction, with uncorrelated/noisy contributions truncated (abstract p.2; §2.2 pp.5--6). | Correlation-conditioned reconstruction is descriptive, not causal. | `full-PDF`, pp.2, 5--6 |
+| S8 boundary | `Mit01` | Mittal, J. Fluids Struct. 15 (2001), `10.1006/JFLS.2000.0337` | Rotating-control-cylinder wake outcomes vary with Re, gap, speed and dimensionality; 2-D is an upper bound (abstract p.291; conclusions p.324). | Rotating-cylinder control is parameter/dimension dependent. | `full-PDF`, pp.291, 324 |
+| S8 boundary | `Cha11b` | Chan et al., JFM 679 (2011), `10.1017/jfm.2011.134` | Suppression speed depends on Re, gap and rotation sense; a viscous high-rotation state only resembles a potential doublet (§§1, 4.1, 4.3, 5, pp.345, 352, 367, 375). | Potential-flow resemblance does not establish inviscid closure. | `full-PDF`, cited pages |
+| S8 boundary | `Sie20` | Sierra et al., JFM 905 (2020), `10.1017/jfm.2020.692` | Rotating-cylinder flow below Re 200 has multiple steady/cyclic and bistable regimes (abstract p.1; §§3.4--3.5 pp.8--11; conclusions p.16). | Viscous behaviour is branch- and parameter-dependent. | `full-PDF`, pp.1, 8--11, 16 |
+| S8 boundary | `Wat96` | Watson, QJMAM 49 (1996), `10.1093/QJMAM/49.2.195` | Slow uniform flow past two rotating cylinders matches inner Stokes and outer Oseen solutions; rotation can make lift the same order as drag (summary/introduction p.195). | Even low-Re pairs require viscous inner/outer matching. | `full-PDF`, p.195 |
+
+### Balance, arithmetic and gate
+
+- **18 net-new identities beyond both current R5 and the frozen local high-confidence 15:** S1 2; S2 5; S5 4; S6 3; S8 4. S3/S4/S7/S9/S10 receive none.
+- Projected union: 16 current + 15 local + 18 Undermind = **49 unique references**. Recommended final range: **46--49**, not mechanical 50; 50--51 requires an exact essential sentence gap.
+- Estimated wave uplift: S1 +35--55, S2 +140--210, S5 +120--180, S6 +55--85, S8 +85--125 = **+435--655 words**. Combined local+Undermind uplift is **+970--1,470**, projecting 6,303 to **7,273--7,773** before recount.
+- Duplicates (zero count): `Rai20`, `Mac20`, `Loi17`, `Bor03`, `Sch12`, `Par20`, `Rab18b`, `Ued03`. Local-wave collisions: `Li16`, `Loi16`. Rejected: redundant `Bru16`; unused `Ish17`; inaccessible `Mau01`/`Bon94`; redundant additional inviscid multiple-cylinder papers.
+- Hard quarantine persists: no OID; no PCD/CCD causality, validation, superiority or triangulation; retain `action-correlated correction-field modes` as descriptive/noncausal; no positive Illusion SR, cross-case SR transfer, project-number/artifact verification, experiment validation or priority wording.
+- Before prose insertion: use the final R5 keys below, check sentence ownership/caveat adjacency, and rerun unresolved-key, uncited-entry and word-count checks. The final disposition remains unchanged. See `audits/CITATION_EXPANSION_UNDERMIND_GAP_AUDIT.md`.
+
+## Final post-R5 bibliography key mapping
+
+**Bibliography state:** added. `R5_REFERENCES.bib` now contains 49 unique records: 16 preserved legacy records plus the following 33 net-new identities. All 33 additions are now cited after the separate section-prose integration unit.
+
+| Wave | Source key | Final collision-safe R5 key | DOI / identifier | Bibliography state | Metadata state |
+|---|---|---|---|---|---|
+| Local | `leonhardt2006optical` | `Leonhardt2006OpticalMapping` | `10.1126/science.1126493` | Added | Local metadata; DOI available |
+| Local | `miller2006perfect` | `Miller2006PerfectActiveCloaking` | none recorded | Added | Provisional local metadata |
+| Local | `vasquez2009active` | `VasquezEtAl2009ActiveExterior` | `10.1103/PhysRevLett.103.073901` | Added | Local metadata; DOI available |
+| Local | `lin2021active` | `LinEtAl2021ActiveAcousticIllusions` | none recorded | Added | Provisional local metadata |
+| Local | `chen2024multilayered` | `ChenEtAl2024MultilayerHydrodynamicCloak` | none recorded | Added | Provisional local metadata |
+| Local | `ren2021bluff` | `RenEtAl2021HydrodynamicStealthDRL` | `10.1063/5.0060690` | Added | DOI recovered from existing R1 record |
+| Local | `deng2021galerkin` | `DengEtAl2021PinballForceModel` | `10.1017/jfm.2021.299` | Added | DOI recovered from existing R1 record |
+| Local | `feng2023control` | `FengEtAl2023PinballForceControl` | `10.1063/5.0142949` | Added | DOI/article recovered from existing R1/R4 record |
+| Local | `beem2015wake` | `BeemTriantafyllou2015WakeSensing` | none recorded | Added | Provisional local metadata |
+| Local | `sakoe1978dynamic` | `SakoeChiba1978DynamicProgramming` | `10.1109/TASSP.1978.1163055` | Added | Local metadata; DOI available |
+| Local | `muller2015fundamentals` | `Muller2015FundamentalsMusicProcessing` | none recorded | Added | Provisional local book metadata |
+| Local | `feng2010circular` | `FengWang2010SyntheticJetCylinder` | none recorded | Added | Provisional local metadata |
+| Local | `Li2017` | `LiEtAl2017GeneticProgrammingControl` | none recorded | Added | Provisional local metadata; distinct from excluded `Li16` |
+| Local | `Brunton2016` | `BruntonEtAl2016SINDy` | `10.1073/pnas.1517384113` | Added | Local metadata; DOI available |
+| Local | `Cranmer2023` | `Cranmer2023PySR` | arXiv `2305.01582` | Added | Local arXiv identity |
+| Undermind | `Fan20b` | `FanEtAl2020BluffBodyRL` | `10.1073/pnas.2004939117` | Added | Full-PDF verified |
+| Undermind | `Li21` | `LiZhang2022ConfinedWakeRL` | `10.1017/jfm.2021.1045` | Added | Full-PDF verified |
+| Undermind | `Mar24b` | `MarraEtAl2024ActuationManifold` | `10.1017/jfm.2024.593` | Added | Full-PDF verified |
+| Undermind | `Jin21` | `JinEtAl2022SensorActuatorPlacement` | `10.1017/jfm.2021.948` | Added | Full-PDF verified |
+| Undermind | `Gon19` | `GongEtAl2020VortexEstimation` | `10.1103/PhysRevFluids.5.023901` | Added | Full-PDF verified |
+| Undermind | `Nai20b` | `NairEtAl2021PhaseFlowControl` | `10.1017/jfm.2021.735` | Added | Full-PDF verified; no unverified article number added |
+| Undermind | `Wan23b` | `WangEtAl2024DynamicFeatureDRL` | `10.1017/jfm.2024.333` | Added | Full-PDF verified |
+| Undermind | `Deb15` | `DebienEtAl2016GeneticProgrammingRamp` | `10.1007/s00348-016-2126-8` | Added | Full-PDF verified; year normalized to publication year |
+| Undermind | `Cas22` | `CastellanosEtAl2022FewSensorMLControl` | `10.1063/5.0087208` | Added | Full-PDF verified |
+| Undermind | `Ren19` | `RenEtAl2019MachineLearningVIV` | `10.1063/1.5115258` | Added | Full-PDF verified |
+| Undermind | `Zol25` | `ZolmanEtAl2025SINDyRL` | `10.1038/s41467-025-65738-4` | Added | Full-PDF verified |
+| Undermind | `Jor07` | `JordanEtAl2007ObservableJetModes` | `10.2514/6.2007-3602` | Added | Full-PDF verified |
+| Undermind | `Tad10` | `TadmorEtAl2010CylinderMeanField` | `10.1063/1.3298960` | Added | Full-PDF verified |
+| Undermind | `Dis18` | `DiscettiEtAl2018CorrelatedFieldEstimation` | `10.1016/j.expthermflusci.2017.12.011` | Added | Full-PDF verified |
+| Undermind | `Mit01` | `Mittal2001RotatingControlCylinders` | `10.1006/JFLS.2000.0337` | Added | Full-PDF verified |
+| Undermind | `Cha11b` | `ChanEtAl2011CounterRotatingCylinders` | `10.1017/jfm.2011.134` | Added | Full-PDF verified |
+| Undermind | `Sie20` | `SierraEtAl2020RotatingCylinderBifurcations` | `10.1017/jfm.2020.692` | Added | Full-PDF verified |
+| Undermind | `Wat96` | `Watson1996TwoRotatingCylinders` | `10.1093/QJMAM/49.2.195` | Added | Full-PDF verified |
+
+The four optional local identities remain excluded: `MonticoneAlu2013CloakScatteringBounds`, `ZouEtAl2019WaterWaveCloak`, `BruntonEtAl2020MachineLearningFluids` and `LoiseauBrunton2018ConstrainedGalerkin`. The prohibited legacy key `Urzhumov2012` is absent. The selected Undermind wave does not include `Li16`; therefore `LiEtAl2017GeneticProgrammingControl` has no imported duplicate.
+
+
+## Post-integration global closeout — 2026-08-11
+
+Static current-file census: **44 citation commands, 64 cited-key occurrences and 49 unique active keys**. `R5_REFERENCES.bib` has **49 entries / 49 unique keys**. Undefined keys = 0; uncited bibliography entries = 0; duplicate keys = 0; duplicate normalized DOIs = 0. All **33/33** post-R5 additions are cited. No key is recommended for pruning merely to clear an uncited state, and no citation was added in this closeout.
+
+The 15 local-wave identities retain their audited `local-bibliography/context mapped, full text unverified` source state; their current placements remain bounded to broad genealogy/method/context propositions. The 18 Undermind identities retain `full-PDF` state. Seven local records retain provisional metadata without a recorded DOI (`Miller2006PerfectActiveCloaking`, `LinEtAl2021ActiveAcousticIllusions`, `ChenEtAl2024MultilayerHydrodynamicCloak`, `BeemTriantafyllou2015WakeSensing`, `Muller2015FundamentalsMusicProcessing`, `FengWang2010SyntheticJetCylinder`, `LiEtAl2017GeneticProgrammingControl`); `Cranmer2023PySR` is intentionally identified by arXiv `2305.01582`. Exact unresolved controls and disposition are in `audits/CITATION_EXPANSION_FINAL_AUDIT.md`.
+
+## Local-wave full-text evidence gate — 2026-08-11
+
+This table supersedes every earlier `local-bibliography/context mapped, full text unverified` state for the 15 cited local-wave records. It records the exact current S1/S2/S5 proposition, identity check, readable passage and insertion disposition; it does not edit TeX or bibliography.
+
+| R5 key | Verified identity / DOI or link | PDF/read state | Current proposition and passage | Disposition |
+|---|---|---|---|---|
+| `Leonhardt2006OpticalMapping` | U. Leonhardt, “Optical conformal mapping,” *Science* 312, 1777--1780 (2006), DOI `10.1126/science.1126493` | `full-PDF` | Conformal mapping supplies an effectively two-dimensional optical-invisibility construction; p.1778 (PDF p.2), mapping to empty space. | **KEEP**; current transformation-optics genealogy is bounded and supported. |
+| `Miller2006PerfectActiveCloaking` | D. A. B. Miller, “On perfect cloaking,” *Optics Express* 14, 12457--12466 (2006), DOI `10.1364/OE.14.012457` | `mapped/inaccessible`; exact PDF retrieval failed | Metadata/abstract says sensors and active sources near the region, but no page passage was readable. | **REMOVE** from the current citation cluster unless full text is supplied; Vasquez supports the retained source-based linear-PDE example. |
+| `VasquezEtAl2009ActiveExterior` | F. Guevara Vasquez, G. W. Milton & D. Onofrei, “Active exterior cloaking for the 2D Laplace and Helmholtz equations,” *PRL* 103, 073901 (2009), DOI `10.1103/PhysRevLett.103.073901` | `full-PDF` | One exterior device is proved for 2-D quasistatics and three are demonstrated numerically for 2-D Helmholtz; abstract p.1, equations/limits pp.1--3. | **KEEP**; current “specified linear equations” wording is safe. |
+| `LinEtAl2021ActiveAcousticIllusions` | C. Lin et al., “Active acoustic cloaking and illusions of sound-hard bodies using the boundary element method,” *JASA* 149, 1803--1812 (2021), DOI `10.1121/10.0003556` | `full-PDF` | Active MIMO acoustic control reproduces a target scattered field to misrepresent object size/orientation; §III.B pp.1805--1806 and §IV pp.1810--1811. | **KEEP**; retain acoustic/non-zero-signature scope. |
+| `ChenEtAl2024MultilayerHydrodynamicCloak` | M. Chen, X. Shen & L. Xu, “A multilayered homogeneous hydrodynamic cloak realized in a free fluid flow,” *APL* 125, 171701 (2024), DOI `10.1063/5.0230069` | `full-PDF` | Ten-layer nonporous free-fluid cloak tested numerically and experimentally at `Re≈0.08`; pp.2--4, with `Re≪1` limit on p.5. | **KEEP**; “restricted low-inertia or free-flow regimes” is supported. |
+| `RenEtAl2021HydrodynamicStealthDRL` | F. Ren, C. Wang & H. Tang, “Bluff body uses deep-reinforcement-learning trained active flow control to achieve hydrodynamic stealth,” *Phys. Fluids* 33, 093602 (2021), DOI `10.1063/5.0060690` | `full-PDF` | DRL controls WSLB actuation using 33 velocity sensors on a line 2D downstream; the sensor-line uniform-flow discrepancy defines the objective; §§I--II, pp.1--5. | **KEEP**; current text correctly refuses equivalence with full-field target comparison. |
+| `DengEtAl2021PinballForceModel` | N. Deng et al., “Galerkin force model for transient and post-transient dynamics of the fluidic pinball,” *JFM* 918, A4 (2021), DOI `10.1017/jfm.2021.299` | `full-PDF` | Force is a constant-linear-quadratic function of Galerkin amplitudes and is applied across transient/post-transient regimes; abstract p.1, eq.2.18 p.6, conclusion p.25. | **KEEP**; “informative reduced object, not field substitute” is a safe manuscript distinction. |
+| `FengEtAl2023PinballForceControl` | H. Feng et al., “How to control hydrodynamic force on fluidic pinball via deep reinforcement learning,” *Phys. Fluids* 35 (2023), DOI `10.1063/5.0142949` | `full-PDF` | DRL controls force extrema and drag tracking using cylinder rotation and force-history state; abstract p.1, §III p.5, §IV.A pp.9--10, conclusion p.13. | **KEEP**; paper explicitly leaves wake/velocity information to future work. |
+| `BeemTriantafyllou2015WakeSensing` | H. Beem & M. S. Triantafyllou, “Wake-induced ‘slaloming’ response explains exquisite sensitivity of seal whisker-like sensors,” *JFM* 783, 306--322 (2015), DOI `10.1017/jfm.2015.513` | `mapped/inaccessible`; exact JFM PDF retrieval failed | No page passage available. Workspace `Bee15b` is an accessible arXiv precursor with a different title, not the exact cited record. | **REMOVE** both current uses unless the exact full text is supplied and read; delete/soften the biological analogy. |
+| `SakoeChiba1978DynamicProgramming` | H. Sakoe & S. Chiba, “Dynamic programming algorithm optimization for spoken word recognition,” *IEEE TASSP* 26, 43--49 (1978), DOI `10.1109/TASSP.1978.1163055` | `full-PDF` | DP minimizes time-normalized distance; monotonicity, continuity, boundary and slope constraints define admissible warping; §§I--II.B, pp.43--44. | **KEEP**; current generic origin/path statement is supported. |
+| `Muller2015FundamentalsMusicProcessing` | M. Müller, *Fundamentals of Music Processing*, Springer (2015), DOI `10.1007/978-3-319-21945-5` | PDF listed available, but two bounded `read_pdfs` attempts timed out; `mapped/unread` | No chapter/page passage returned for local cost, accumulated cost or path constraints. | **REMOVE** pending readable chapter evidence; reword the sentence to rely only on Sakoe--Chiba’s verified path/constraint definitions. |
+| `FengWang2010SyntheticJetCylinder` | L. H. Feng & J. J. Wang, “Circular cylinder vortex-synchronization control with a synthetic jet positioned at the rear stagnation point,” *JFM* 662, 232--259 (2010), DOI `10.1017/S0022112010003174` | `mapped/inaccessible`; exact PDF retrieval failed | No page passage available. Workspace `Fen10` is a different three-author *Journal of Fluids and Structures* paper and cannot verify this citation. | **REMOVE** this key and the localized-AFC clause unless exact full text is supplied. |
+| `LiEtAl2017GeneticProgrammingControl` | R. Li et al., “Drag reduction of a car model by linear genetic programming control,” *Exp. Fluids* 58, 103 (2017), DOI `10.1007/s00348-017-2382-2` | `full-PDF` | Symbolic GP uses the experiment to evolve explicit feedback laws; inner-loop plant evaluation and outer-loop learning are stated in §1 p.3 and §3.3 p.9. | **KEEP**; direct-controller-search versus post-hoc regression is exact. |
+| `BruntonEtAl2016SINDy` | S. L. Brunton, J. L. Proctor & J. N. Kutz, “Discovering governing equations from data by sparse identification of nonlinear dynamical systems,” *PNAS* 113, 3932--3937 (2016), DOI `10.1073/pnas.1517384113` | `full-PDF` | Sparse regression selects active terms from a candidate nonlinear-function library to form parsimonious dynamical equations; abstract/significance p.1 and method p.2. | **KEEP**; current text correctly distinguishes dynamics identification from policy mapping. |
+| `Cranmer2023PySR` | M. Cranmer, “Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl,” arXiv:2305.01582 (2023), DOI `10.48550/arXiv.2305.01582` | `full-PDF` | PySR uses a multi-population evolve--simplify--optimize loop and explicitly optimizes constants; pp.1, 5--6. | **KEEP**; method/software role is supported and does not validate the present law. |
+
+**Gate result:** 11 **KEEP**, 0 **REWORD-only**, 4 **REMOVE pending readable full text** (`Miller2006PerfectActiveCloaking`, `BeemTriantafyllou2015WakeSensing`, `Muller2015FundamentalsMusicProcessing`, `FengWang2010SyntheticJetCylinder`). The four failures are evidence gates, not identity uncertainty: all identities/DOIs were resolved, but exact full-text passages were unavailable. Detailed audit: `audits/CITATION_EXPANSION_LOCAL_FULLTEXT_VERIFICATION.md`.
@@ -0,0 +1,19 @@
+# Round-5 Claim, Evidence and Artifact Binding Ledger
+
+**State:** initialized from R4 controls. `OPEN` means the dependency remains unresolved; no row is artifact approval.
+
+| ID | Section | Licensed claim/job | Controlling authority | Artifact/equation dependency | Gate/status | Fallback |
+|---|---|---|---|---|---|---|
+| CEA-01 | S1 | framing and evidence-exact ladder: periodic Kármán cloak; positive non-zero-target Illusion PPO; Vortex event-relative execution/morphology; Erase unresolved; Kármán-only Levels 2–3 | S1 packet + approved global evidence delta + global ledger + current S2–S9 TeX/audits | citations only; no owned display/equation/table | PROSE AUDITED; bibliography and S1/S10/global pass OPEN | generic bounded hook; omit unkeyed citations; never promote Erase |
+| CEA-02 | S2 | definitions/method/evaluation/compact qualification | S2 packet + training pipeline/design decisions + sensor/L2 report + CelerisLab dossier | schematics/tables/run rows/Re labels | PROSE AUDITED; OPEN source/production, parabolic inherited Re and bibliography keys | omit unbound values; textual display fallbacks; supplement provenance |
+| CEA-03 | S3 | non-equivalent capability progression | S3 packet + S3 Figure Plans + named steady/Kármán authorities | two-figure interface accepted; exact Vortex offset, role leaves, hashes, units, crop/scale/caption/artwork | prose drafted; author choice CLOSED; artifact gates OPEN | source-bound previews; omit failed panel claim, preserve interface |
+| CEA-04 | S4 | tested learning and reference-wake evaluation | S4 packet + latest training summaries + role metadata/DTW + wake-L2 authority + time-window package | redraw/hash/unit/scale/crop/spectrum window/action unit/zero portrait | prose/values source-bound; historical $U_0$ normalization/time explicit; S4/S5 target+zero shared, controlled acquisitions distinct; production OPEN | scalar prose/compact table; omit spectrum then optional DTW display |
+| CEA-05 | S5 | executable Kármán/cloak-only surrogate and parent-relative deletion; 5/5 jobs drafted | S5 packet + `SR_analysis/CLAIMS.md`, results index, standardized SR summary and deletion table (`read`) | equations retained; rolling native DTW window/aggregation bound; action extraction, figure and velocity conversion | PROSE DRAFTED; production/source OPEN; PPO comparison BLOCKED | omit PPO/envelope; retain bound law, standardized SR/zero and deletion |
+| CEA-06 | S6 | four-role scalar/residual/descriptive CCD organization; target mean notation and non-residual-norm 6.58% semantics fixed; 6/6 jobs drafted | S6 packet + corrected math/final-results/figure-data authorities; current ROI parent `campaign.json` manifests + `dynamic_increment.py::_dense_statistics` (`read`) | share/residual equations retained; four-role `[480,840)` mean window and action-coordinate convention bound; composites/POD artwork | PROSE DRAFTED; exact four-role mean-window binding CLOSED; artwork/provenance OPEN; operator omitted | scalar ledger + residual definition |
+| CEA-07 | S7 | changed-contract role-field/morphology envelope | S7 packet + role metadata/evaluator authority | Vortex/Erase evaluators; role visuals | prose DRAFTED/AUDITED; quantitative BLOCKED; visuals OPEN | qualitative physical-variable role fields only |
+| CEA-08 | S8 | separate steady context, prescribed-circulation outer reference and failed closure | S8 packet + steady README/RESULTS/DERIVATION + `theory.py` unit-$L^2$ basis + strip/finite-Re analyses + figure manifest | Hodge/period equation + adjacent incompatibility accepted; dimensionless $g$ basis/sign/units bound; integrated figure | prose/equations DRAFTED/AUDITED; presentation rounding authorized; exact provenance retained; source/provenance/artwork and mechanism gates OPEN | endpoint/sign table + concise outer boundary |
+| CEA-09 | S9 | explicit author-field placeholder interface only; three evidence cards complete | S9 packet + R4 S9 packet + S9 Figure Plan + S9 audit | author facts, command map, trial/media provenance, processing, permissions and any result import | placeholder format/audit COMPLETE; all substantive evidence and artifact gates OPEN | drop failing media/observation or omit entire section; no S10 import absent targeted audit and reopening |
+| CEA-10 | S10 | established text-only synthesis; five one-to-one evidence cards complete | S10 packet + current retained S2–S8 TeX/audits + S10 audit | none | prose DRAFTED/AUDITED; S1/global interface pending; no artifact/citation dependency | omit S9, Erase and any import not retained after global edits |
+
+## Closure rule
+Only an explicitly accepted author choice is marked closed here. Source, provenance, evaluator, equation-source, caption, artwork, rendering and publication-readiness gates require their own audit and may not be closed by prose drafting or by this ledger.
@@ -0,0 +1,59 @@
+# Round-5 Live Length and Share Ledger
+
+## Authority and counting boundary
+
+No authorized article-wide body-text target is recorded. The Round-2 `8,000–10,000 word-equivalents` range and its 8,700 midpoint are historical planning aids, not an active quota. Section proportions are diagnostics and do not authorize padding or narration of unavailable displays.
+
+The sole current authoritative count is the **post-citation-integration uniform static recount dated 2026-08-11** from the current section files. The counter removes unescaped comments, section/subsection headings, complete display-math bodies, inline-math spans and citation commands; it then removes remaining TeX commands/braces and counts lexical alphanumeric tokens with internal hyphens or apostrophes. A display embedded in a prose source block does not create substantive words. S1–S8 and S10 are substantive; the visibly marked S9 author instructions are classified separately as control tokens. This is a reproducible source-text count, not a typeset word-equivalent estimate.
+
+## Final authoritative current recount
+
+| Section | Reader-facing jobs | Design share | Uniform substantive words | Actual share of 7,434 | Deviation | Disposition note |
+|---|---:|---:|---:|---:|---:|---|
+| S1 Introduction | 5 | 9% | 1,123 | 15.11% | +6.11 pp | citation-integrated framing; Kármán-only field-proximity ceiling explicit |
+| S2 Problem, control and evaluation | 13 prose blocks / 5 jobs | 16% | 1,612 | 21.68% | +5.68 pp | largest prose/equation/citation burden |
+| S3 Capability/progression | 6 | 8% | 578 | 7.78% | −0.22 pp | figure-heavy; artifacts gated |
+| S4 Kármán performance | 9 blocks / 7 jobs | 13% | 793 | 10.67% | −2.33 pp | exact-result owner |
+| S5 Kármán compact law | 11 prose blocks / 5 jobs | 15% | 958 | 12.89% | −2.11 pp | citation-integrated method distinctions |
+| S6 Kármán mean fields/CCD | 7 prose blocks / 6 jobs | 16% | 745 | 10.02% | −5.98 pp | citation-integrated noncausal lineage |
+| S7 Cross-case extensions | 5 | 8% | 499 | 6.71% | −1.29 pp | exact bounded morphology ceiling |
+| S8 Steady context/theory | 6 prose blocks / 5 jobs | 6% | 591 | 7.95% | +1.95 pp | endpoint metric and viscous boundary explicit |
+| S9 Qualitative experiment interface | 3 author fields | 3% held | 0 substantive; 272 control tokens | excluded | n/a | omission branch active |
+| S10 Discussion/conclusion | 5 | 6% | 535 | 7.20% | +1.20 pp | text-only synthesis |
+| **Current substantive total** | **67 prose blocks** | **97% excluding held S9** | **7,434** | **100%** | — | **S9 control text excluded** |
+
+## Protected Kármán analytical centre
+
+S4–S6 contain **2,496 / 7,434 = 33.58%** of current substantive prose. The provisional 42% lower design protection and 44% target correspond to approximately **3,122** and **3,271** words, arithmetic gaps of **626** and **775** words. These are design diagnostics, not drafting instructions. S4–S6 carry five displayed equations, fourteen nonblank displayed rows and 82 inline-math spans, so prose share understates their typeset footprint; no equation-to-word conversion is authorized.
+
+Do not close the diagnostic gap by padding, repeated caveats, derivations, inventory prose or narration of gated artwork.
+
+## Display, equation and citation burden
+
+Current section source contains **12 displayed equation environments, 31 nonblank displayed rows, 143 inline-math spans, 44 citation commands and 64 cited-key occurrences (49 unique active keys)**. `R5_REFERENCES.bib` contains 49 entries and 49 unique keys; citation mapping is **49/49**, with zero undefined keys, zero uncited entries, zero duplicate keys and zero duplicate normalized DOIs. No figure or table environment appears in the section TeX.
+
+| Section | Display equations | Nonblank rows | Inline math | Citation commands | Cited-key occurrences |
+|---|---:|---:|---:|---:|---:|
+| S1 | 0 | 0 | 0 | 19 | 29 |
+| S2 | 5 | 11 | 34 | 10 | 14 |
+| S3 | 0 | 0 | 4 | 0 | 0 |
+| S4 | 0 | 0 | 15 | 0 | 0 |
+| S5 | 2 | 8 | 41 | 5 | 8 |
+| S6 | 3 | 6 | 26 | 4 | 6 |
+| S7 | 0 | 0 | 2 | 0 | 0 |
+| S8 | 2 | 6 | 21 | 6 | 7 |
+| S9 | 0 | 0 | 0 | 0 | 0 |
+| S10 | 0 | 0 | 0 | 0 | 0 |
+
+All 33 post-R5 bibliography additions are actively cited. Citation status alone therefore supplies no prune recommendation; retention still depends on the source-state and metadata gates recorded in `audits/CITATION_EXPANSION_FINAL_AUDIT.md`.
+
+## S9 branch effect
+
+- Current omission branch: **7,434** substantive words; S4–S6 = **33.58%**; 272 S9 control tokens remain excluded.
+- Author supply of 150–300 admitted substantive words: **7,584–7,734** words; unchanged centre = **32.91–32.27%**.
+
+Any S9 prose must pass author-supply, provenance, permission and reopening gates. It is admitted for evidence and article logic, never to manipulate a percentage.
+
+## Current control and confined snapshots
+
+For every future text change, rerun this exact method and replace this table rather than appending a competing snapshot. All earlier method-local or pre-integration figures—including totals **6,092**, **6,152**, **6,537**, **6,176** and **6,303**—are superseded for current arithmetic. They must not be summed or mixed with the authoritative **7,434** count; this paragraph is their only retained current-ledger role.
@@ -0,0 +1,19 @@
+# Round-5 Paragraph and Section Inventory
+
+**State:** initial planning inventory. IDs are stable; budgets are provisional ranges, not quotas. Evidence cards are required before drafting.
+
+| Section | Output | Paragraph IDs / jobs | Initial words | Admission/status |
+|---|---|---|---:|---|
+| S1 | `sections/SECTION_01_INTRODUCTION.tex` | S01-P01 fascination/gap; P02 pinball/force mediation; P03 nonlinear feedback/PPO/hooks; P04 realization/evaluation/action+field analysis; P05 question/contribution/contracts bridge | 750–950 | 5/5 drafted/audited; 700 words; evidence-exact Level 1; bibliography/global audit gates open |
+| S2 | `sections/SECTION_02_PROBLEM_METHOD_EVALUATION.tex` | S02-P01 configurations/numerics; P02 action/observations/PPO; P03 target/objective; P04 signal+field evaluation; P05 compact CFD qualification | 1000–1250 | drafted/audited: 1212 words; local source/display gates retained |
+| S3 | `sections/SECTION_03_CAPABILITY_PROGRESSION.tex` | S03-P01 viewing/non-equivalence; P02 steady seed; P03 Kármán centre; P04 Vortex preview; P05 Illusion preview; P06 depth selection | 800–1000 | 6/6 drafted; 662 uniform words (110/110/127/97/98/120); two-figure choice fixed, artifacts gated; S2--S3 audit linked from S2 audit |
+| S4 | `sections/SECTION_04_KARMAN_RESULTS.tex` | S04-P01 tested conditions; P02 five learning realizations; P03 reward/field hinge; P04 reference roles; P05 mean/phase fields; P06 sensor/DTW/action; P07 bounded consequence | 900–1150 | 7/7 drafted; 851 uniform words (150/118/88/153/125/115/102); artifacts gated |
+| S5 | `sections/SECTION_05_KARMAN_SR_LAW.tex` | S05-P01 reduction question; P02 executable law; P03 imposed symmetry; P04 deployment/result; P05 deletion/boundary | 1250–1500 | 5/5 drafted; 614 prose words; evidence cards in audit; source/artifact gates retained |
+| S6 | `sections/SECTION_06_KARMAN_FIELD_CCD.tex` | S06-P01 four-role means; P02 signed differences; P03 scalar accounting; P04 residual; P05 CCD/POD; P06 synthesis/bridge | 1250–1500 | 6/6 drafted; 635 prose words; evidence cards in audit; figures gated |
+| S7 | `sections/SECTION_07_CROSS_CASE_EXTENSIONS.tex` | S07-P01 changed contracts; P02 Vortex; P03 Illusion PPO/negative SR; P04 Erase role fields; P05 strict envelope | 640–800 controlling provisional range | 5/5 drafted and audited; quantitative evaluators blocked; role visuals gated |
+| S8 | `sections/SECTION_08_STEADY_THEORY.tex` | S08-P01 contextual return; P02 finite-Re endpoint; P03 kinematics/viscous hypothesis; P04 Hodge+incompatibility+sign failure; P05 synthesis/bridge | 480–600 controlling provisional range | 5/5 drafted and audited; author choice fixed; source/artwork/mechanism gates retained |
+| S9 | `sections/SECTION_09_EXPERIMENT_PLACEHOLDER.tex` | S09-P01 AUTHOR FIELD purpose/apparatus/execution; P02 AUTHOR FIELD provenance/morphology; P03 AUTHOR FIELD ceiling/threshold | 150–300 placeholder tokens | 3/3 placeholder jobs complete; 0 substantive words; all author/evidence gates open; audited |
+| S10 | `sections/SECTION_10_DISCUSSION_CONCLUSION.tex` | S10-D01 breadth/depth; D02 Kármán action/field synthesis; D03 changed-task+steady boundary; C01 capability/evaluation answer; C02 bounded close | 480–600 controlling provisional range | 5/5 drafted and audited; 544 words (125/140/130/76/73); text-only established synthesis; S1/global interface pending |
+
+## Evidence-card fields
+`paragraph ID | job | claim ceiling | comparator/definition | internal authority and state | metric/estimand/ROI/window if relevant | external citation role/state | display/equation dependency | local caveat | fallback/author field | target/actual words | status`.
@@ -0,0 +1,100 @@
+# Round-5 Final Audit
+
+**Date:** 2026-08-11  
+**Status:** **CONDITIONAL PASS — admitted review assembly; runtime compile and production artifacts remain gated.**  
+**Scope:** current S1–S8 and S10 TeX; S9 placeholder/audit and omission branch; all section/interface/global audits; current ledgers, bibliography, review master/static preflight, R4 controls and JFM rules. No section prose, literature search/read, CFD, training, evaluator run, rendering, artifact generation or new scientific analysis was performed.
+
+## Decisive determination
+
+The current nine-section reader-facing TeX body is admitted to `master/R5_REVIEW_MASTER.tex` for review assembly. Static TeX structure, exact input order, safe S9 omission, bibliography integration and the bounded scientific claim architecture pass. This is not submission-master approval and not artifact readiness. Runtime compilation is **CONDITIONAL**, not passed: no TeX engine, BibTeX executable or resolver is installed, so engine execution and warning/layout inspection remain a production gate.
+
+## Audit basis
+
+- **PASS:** all 65 R4 jobs have substantive prose or the authorized S9 author-field/omission fallback.
+- **PASS:** current section audits, two wave audits, structure/logic pass, final uniform length/display recount, citation ledger, claim/evidence ledger, master and static preflight were read.
+- **PASS:** internal facts and numbers remain under their current section authority and caveats; this final audit did not independently recompute scientific results or promote mapped artifacts.
+- **PASS:** all 16 approved external identities map to 16 R5 bibliography keys; all active citations resolve and all bibliography entries are cited.
+- **PASS:** final current count is 6,303 substantive words; S9 contributes zero substantive words and 272 excluded control tokens.
+- **CONDITIONAL:** source/provenance/caption/artwork/rendering gates remain open as itemized below; no planned display is publication-ready merely because its prose or equation is admitted.
+
+## Section determination
+
+`PASS` means the current prose and static TeX are admitted to the review assembly under stated scientific ceilings. `CONDITIONAL` retains a local source, normalization or production dependency. `BLOCKED` means no substantive manuscript section is admitted.
+
+| Section | Prose / evidence / citations / static TeX | Final disposition | Remaining local gate |
+|---|---|---|---|
+| S1 | Five-job framing; exact ladder; citations resolve; no display | **PASS** | Final title remains author-provisional; no scientific blocker |
+| S2 | Definitions, action/sign, roles, objective, estimands and compact qualification pass | **CONDITIONAL** | Historical parabolic `U_0/U_{ref}` conversion, exact selected-run reproduction metadata and required method-display production |
+| S3 | Progression and preview/detail split pass; exact Illusion ceiling retained | **CONDITIONAL** | Panel source/provenance/crop/scale/caption/artwork; no scalar Illusion result |
+| S4 | Tested-condition, five-history and target-relative Kármán results pass with separate estimands | **CONDITIONAL** | Redraw/crop/scale/caption, exact spectrum window/action display; `U_0/U_{ref}` remains unbound |
+| S5 | Kármán/cloak-only executable SR, explicit measured-state reflection/force definitions, same-case spatial errors, execution and parent-relative deletion pass | **CONDITIONAL** | Historical velocity conversion, action extraction and figure production; PPO/SR controlled acquisitions remain distinct |
+| S6 | Locally defined T/0/C/D roles, consistent two-component velocity notation, scalar accounting, separately centred residual and descriptive CCD/POD boundary pass | **CONDITIONAL** | Composite provenance/caption/artwork; no causal, energy-share or residual-norm inference |
+| S7 | Changed-contract text passes at the exact bounded execution/morphology ceiling; no scalar change is reported | **CONDITIONAL** | Quantitative Vortex/Erase evaluators remain **BLOCKED**; Illusion scalar and role-visual production remain open |
+| S8 | Separate steady endpoint with explicit cross-sectional two-component L-infinity metric, kinematic hypothesis and failed inviscid closure pass | **CONDITIONAL** | Equation source/typesetting recheck, figure provenance/rendering and all intervention/budget/stability mechanism tests |
+| S9 | Author instructions only; zero manuscript evidence; correctly omitted from master | **BLOCKED** for substantive prose | Author facts, command map, trials/media/provenance/permissions/morphology, targeted audit and explicit reopening |
+| S10 | Three Discussion plus two Conclusion paragraphs; no new evidence/citation/display; no S9 import | **PASS** | No local artifact gate; remains contingent on retained S1–S8 meanings |
+
+## Global findings
+
+### Structure, ownership and style — PASS
+
+Frozen order, paragraph jobs, preview/detail splits, bridges and ownership are intact. Reader-facing prose contains no Legacy/V5 naming, bare `Re100`, package chronology or governance diction. `Kármán`, exact configuration names and `action-correlated correction-field modes` are used consistently. Strong words occur only in explicit denials or bounded hypotheses. No prose edit was warranted.
+
+### Evidence and claim ceilings — PASS WITH PRODUCTION CONDITIONS
+
+- S4 PPO, S5 SR and S6 corrected four-role quantities remain distinct acquisitions/estimands; no replication, validation or triangulation is inferred.
+- S1 now states execution for Kármán, Illusion and Vortex while reserving target-relative field proximity to Kármán; Erase remains unresolved for the same comparison.
+- S5 now defines measured-state reflection parity, signed native solver force coefficients, rear symmetric/antisymmetric combinations, and the same-case target/physical-zero spatial-error lineage before inference.
+- S6 now defines roles $T,0,C,D$, uses $\boldsymbol{u}$ consistently for two-component fields, and keeps the non-paired residual distinct from scalar differences.
+- S7 reports no scalar change for Illusion and morphology only for Vortex/Erase. S8 binds $E_{\infty,\mathrm{vector}}$ to the common-cross-section maximum of the two-component Euclidean difference, not quadrature weighting.
+- The exact Illusion ceiling passes: policy execution toward a declared non-zero target and morphology consistent with retargeting; **no scalar change in target-relative error is reported, and no positive Illusion SR is claimed**.
+- The 93.42%/6.58% quantities are scalar error differences. The separately centred residual is a velocity field, is non-paired, and is not assigned the 6.58% magnitude. S10 preserves this distinction.
+- Article-wide `U_{ref}` is defined by configuration. Historical parabolic `U_0` remains unbound to `U_{ref}`; S3–S5 retain source-normalized notation and use only conversion-free relative reductions where appropriate.
+- Vortex and Erase remain morphology-only where evaluators are absent. Steady remains separate-chain context and failed closure, not mechanism or cross-configuration validation.
+
+### Length and display — PASS AS DIAGNOSTIC
+
+Final authoritative substantive count: **6,303 words**. Shares are S1 11.80%, S2 20.85%, S3 8.98%, S4 12.58%, S5 11.77%, S6 10.01%, S7 7.82%, S8 7.85%, S10 8.33%; S9 is excluded. S4–S6 contain **2,166 words / 34.36%**. The gap from provisional 42%/44% centre diagnostics is 481/607 words, but equation/display density is high and no padding is authorized.
+
+Source burden is 12 display equations, 31 displayed rows, 143 inline-math spans, 14 citation commands and 24 citation-key occurrences. There are no completed figure/table environments; all planned figures/tables retain their production gates.
+
+### Citations and bibliography — PASS 16/16
+
+`R5_REFERENCES.bib` has 16 unique entries. Current TeX cites 16 unique keys in 24 occurrences; unresolved keys = 0; uncited entries = 0; duplicate keys = 0. Literature supports external propositions only and does not verify internal results.
+
+### S9 omission and master input — PASS
+
+The review master actively inputs exactly S1–S8 and S10 in order, explicitly omits `SECTION_09_EXPERIMENT_PLACEHOLDER.tex`, and imports no S9 result into S10. S9 remains an internal author interface rather than manuscript prose.
+
+### Static TeX — PASS; runtime compile — CONDITIONAL
+
+A comment-aware scanner found balanced braces, paired/nested environments and balanced math delimiters for the master plus all ten section files. All active inputs resolve; the JFM class/style support files and bibliography path are statically present under the documented `TEXINPUTS` assumption. No executable exists for `latexmk`, `pdflatex`, `lualatex`, `xelatex`, `bibtex`, `biber` or `kpsewhich`. Runtime compilation, citation/reference warning inspection, class/package/font/line-number behavior, bad boxes and page layout therefore remain an explicit production gate.
+
+## Overall TeX assembly admission
+
+**CONDITIONAL PASS.** The current S1–S8/S10 body is admitted to the R5 review master. The condition is runtime compilation and production inspection, plus local source/artifact gates for dependent displays. S9 substantive content is blocked and omitted. This audit does not authorize migration to the submission master or claim publication readiness.
+
+## Post-R5 Figure eligibility
+
+Post-R5 figure production may begin **only under the existing per-display admission workflow**. Eligible work is source/provenance audit, processing-contract completion, redraw/layout, caption-ceiling review and static validation for already licensed displays. No figure is automatically eligible for publication:
+
+- **Eligible to enter gated production:** S2 method schematics/tables; accepted S3 composition; S4 Kármán displays; S5 law/deletion and Target/SR/zero fallback; S6 mean/residual/CCD composition; S7 role-field visuals only; accepted S8 endpoint/outer-reference/sign-failure composition.
+- **Blocked from quantitative production:** S7 Vortex/Erase efficacy/scalars; any Illusion scalar not exact-role/evaluator bound; mismatched PPO/SR common-comparison panel; MFS mechanism/validation panel; any S9 experiment panel absent author provenance/permission/reopening.
+- **No post-R5 figure work:** S1 and S10 own no empirical display under the current contract; S9 omission remains active.
+
+## Remaining gates
+
+1. Runtime TeX/BibTeX compilation and warning/layout inspection in an environment with the documented JFM class/style path.
+2. Author confirmation or continued provisional use of the article title before submission-master migration.
+3. Historical parabolic `U_0/U_{ref}` identification before any physical conversion or inherited Reynolds relabeling.
+4. Per-display exact source/provenance, roles/comparator, estimand, ROI/mask/window, crop/scale, caption, rendering and final production review.
+5. Versioned evaluators before quantitative Vortex/Erase; exact binding before any Illusion scalar.
+6. Author supply, physical command map, trial/media provenance, permissions, morphology wording, targeted audit and reopening before any S9 content or S10 import.
+
+## Knowledge and computation closeout
+
+Nowledge was used with three narrow `DynamisLab JFM Round 5` searches for final-audit, claim-ceiling and S9/master decisions; repository controls superseded recall. Working Memory, thread recall and `mem_fs` were not used. Current R5 TeX/audits/ledgers/master/bibliography and R4 controls/rules were read; current source was statically counted and structurally scanned. Previously recorded literature states were read as repository metadata only; no literature search or PDF read occurred. Internal artifacts were not independently reverified, and no CFD, training, evaluator, rendering, artifact generation or new scientific analysis ran.
+
+## Concise final closeout memory proposal
+
+> DynamisLab JFM Round 5 closed on 2026-08-11 with a conditional review-assembly pass. Current S1–S8/S10 substantive TeX totals 6,303 uniform words; S9 is an omitted author interface with 0 substantive words and 272 control tokens. Static TeX and bibliography integration pass 16/16; runtime compile remains conditional because no TeX/BibTeX toolchain is installed. Exact ceilings remain: Illusion PPO execution/morphology only with no reported scalar target-relative error change or positive SR; Vortex/Erase quantitative claims blocked; S4/S5/S6 estimands distinct; 6.58% is a scalar increment, not residual magnitude; historical parabolic U0/Uref conversion unbound. Post-R5 figures may enter gated production, but no artifact is publication-ready and blocked evaluator/experiment/MFS/mismatched-comparison panels remain ineligible.
@@ -0,0 +1,17 @@
+# Canonical Context Packet A — Sections 1–2
+
+**Version:** v1 | **Unit:** A | **Order:** S2 then S1 | **Outputs:** `sections/SECTION_02_PROBLEM_METHOD_EVALUATION.tex`, `audits/SECTION_02_AUDIT.md`, then `sections/SECTION_01_INTRODUCTION.tex`, `audits/SECTION_01_AUDIT.md`.
+
+## Controlling reads
+R4 global ledger, closeout audit and README; `SECTION_02_PROBLEM_METHOD_EVALUATION.md`; `SECTION_01_INTRODUCTION_FREEZE.md`; current R5 rules; exact authorities named by each paragraph job. Recall narrowly, then verify.
+
+## Contract
+- S2: five jobs—configurations/numerics; action/observations/PPO; target/objective; independent evaluation; compact CFD qualification. Frozen architecture, conditional local sources/displays.
+- S1: five-paragraph frozen framing/contribution architecture, written after evidence-owning sections. Literature may support external framing only.
+- Preserve configuration names, article-wide Reynolds convention and canonical-versus-earlier implementation boundary. No canonical rerun/equivalence claim.
+
+## Gates and exclusions
+Bind every run-specific value, inherited Reynolds label, policy/normalizer/target and qualification row before printing. Method schematics/tables remain production-gated. S1 owns no detailed values or empirical display. No final-master work, evidence creation, CFD/training/analysis or invented citation keys.
+
+## Acceptance
+Every paragraph has an evidence card, comparator/definition before inference, local caveat, owned equation/display dependency, fallback, word count and bridge. S2→S3 interface is audited before section-pass.
@@ -0,0 +1,15 @@
+# Canonical Context Packet B — Sections 3–4
+
+**Version:** v1 | **Unit:** B | **Outputs:** `sections/SECTION_03_CAPABILITY_PROGRESSION.tex`, `audits/SECTION_03_AUDIT.md`, `sections/SECTION_04_KARMAN_RESULTS.tex`, `audits/SECTION_04_AUDIT.md`.
+
+## Controlling reads
+R4 global ledger, closeout audit and README; current S3 and S4 packets; S3/S4 Figure Plans; current R5 rules; exact source authorities named by the packets.
+
+## Accepted decision and jobs
+S3 author choice is closed at the two-figure safe default: S3-1 steady two-component profile; S3-2 Kármán-dominant target/controlled/physical-zero wake composition with one source-bound Vortex and one 0.75-radius Illusion preview. Its six jobs remain viewing contract, steady seed, Kármán centre, event preview, changed-target preview and depth selection. S4 owns tested-condition learning and reference-wake field/trajectory detail.
+
+## Ceilings and gates
+The acceptance fixes interface/count, not panels, source files, provenance, crop, scale, caption, rendering or approval. S3 cannot pool efficacy or inherit S4/S7 detail. Vortex is morphology-only; Illusion is positive PPO only. S4 figures, field redraw, hash/scale/crop and shared spectrum window remain gated. Reward, L2 and DTW remain distinct.
+
+## Acceptance
+Evidence cards identify role, configuration, temporal coordinate and owner. S3 preview/details are deduplicated against S4 and S7. Missing panels use the recorded omission/source-bound fallback without changing the two-figure interface.
@@ -0,0 +1,15 @@
+# Canonical Context Packet C — Sections 5–6
+
+**Version:** v1 | **Unit:** C | **Outputs:** `sections/SECTION_05_KARMAN_SR_LAW.tex`, `audits/SECTION_05_AUDIT.md`, `sections/SECTION_06_KARMAN_FIELD_CCD.tex`, `audits/SECTION_06_AUDIT.md`.
+
+## Controlling reads
+R4 global ledger, closeout audit and README; current S5/S6 packets and Figure Plans; current R5 rules; exact SR, DTW and corrected-field authorities named locally.
+
+## Jobs and ownership
+S5 owns the executable Kármán/cloak-only surrogate, imposed symmetry, deployment scope and parent-relative deletion. S6 owns four-role means, exact scalar accounting, non-paired residual and descriptive `action-correlated correction-field modes` with the POD boundary. Preserve five S5 and six S6 jobs.
+
+## Hard boundaries
+Positive SR is Kármán/cloak-only; symmetry is imposed after PPO data collection and proves neither PPO nor plant symmetry. Historical `U0` conversion remains source-gated. Omit PPO from mismatched same-target panel. S4 PPO L2, S5 standardized SR L2 and S6 corrected mean estimand are non-equivalent. S6 percentages are measured scalar-error accounting, not energy, causality or physical contribution. CCD is descriptive/noncausal; POD is supplemental.
+
+## Acceptance
+All formulas, actions, role order, windows and values bind exact authority. Figures remain production-gated. Audit S4–S6 estimand separation before section-pass.
@@ -0,0 +1,15 @@
+# Canonical Context Packet D — Sections 7–8
+
+**Version:** v1 | **Unit:** D | **Outputs:** `sections/SECTION_07_CROSS_CASE_EXTENSIONS.tex`, `audits/SECTION_07_AUDIT.md`, `sections/SECTION_08_STEADY_THEORY.tex`, `audits/SECTION_08_AUDIT.md`.
+
+## Controlling reads
+R4 global ledger, closeout audit and README; current S7/S8 packets and Figure Plans; current R5 rules; exact role-field, steady endpoint and theory authorities named locally.
+
+## Accepted decision and jobs
+S7 retains five changed-contract jobs with role-field/morphology ceilings. S8 author choice is closed: display the multi-cylinder Hodge/period outer solution with prescribed circulations, place the one-circle rotating-no-slip incompatibility adjacent, and use one integrated CFD + prescribed-circulation outer-reference + sign/closure-failure figure. Preserve S8's five paragraph jobs and kinematics-first ordering.
+
+## Gates and exclusions
+S7 quantitative Vortex/Erase efficacy remains blocked without versioned evaluators; role visuals remain gated. S8 choice does not approve equation artwork, panels, sources, provenance, caption, crop/scale, redraw or rendering. The outer field is a bounded prescribed-circulation reference, not finite-Re mechanism validation. Steady is separate-chain context; no continuation, amplitude agreement, optimum, stability, causal mechanism or momentum restoration.
+
+## Acceptance
+The S8 outer-reference paragraph places prescribed-period meaning, no-slip incompatibility and sign failure together. Audit S7→S8 non-transfer and S8→S9 quantitative-boundary bridge.
@@ -0,0 +1,15 @@
+# Canonical Context Packet E — Sections 9–10
+
+**Version:** v1 | **Unit:** E | **Order:** S9 placeholder then S10 | **Outputs:** `sections/SECTION_09_EXPERIMENT_PLACEHOLDER.tex`, `audits/SECTION_09_AUDIT.md`, `sections/SECTION_10_DISCUSSION_CONCLUSION.tex`, `audits/SECTION_10_AUDIT.md`.
+
+## Controlling reads
+R4 global ledger, closeout audit and README; current S9/S10 packets and S9 Figure Plan; current R5 rules. S9 author fields are the only admitted TeX content until reopening.
+
+## S9 placeholder contract
+Create explicit TeX placeholders for: purpose; apparatus/facility/geometry; open-loop command path and units/sign/timing; trial/case IDs; raw media/frame/view/processing/permission; comparator-led morphology wording; confounds/limits; next evidentiary threshold. Every placeholder must be visibly marked `AUTHOR FIELD` and contain no asserted apparatus fact, execution verb, trial identity, provenance, morphology observation or experiment result. It may preserve structural transitions as instructions, not manuscript claims.
+
+## S10 contract
+Three Discussion plus two short Conclusion paragraphs, text-only, established Sections 1–8 synthesis. No new evidence, value, citation, equation, display, limitations programme or Section-9 result. A Section-9 observation can enter only after author supply, targeted provenance audit and explicit reopening.
+
+## Gates and acceptance
+All S9 author/media/command/provenance/permission gates remain open; omission remains fallback. The audit checks that placeholders cannot be mistaken for results and S10 imports only retained established meanings.
@@ -0,0 +1,503 @@
+% Round-5-owned bibliography for reader-facing external propositions only.
+% Do not use these sources to support DynamisLab results, values, artifacts, or readiness.
+
+@article{PendryEtAl2006Controlling,
+  author  = {Pendry, J. B. and Schurig, D. and Smith, D. R.},
+  title   = {Controlling electromagnetic fields},
+  journal = {Science},
+  year    = {2006},
+  volume  = {312},
+  number  = {5781},
+  pages   = {1780--1782},
+  doi     = {10.1126/science.1125907}
+}
+
+@article{MaEtAl2013ActiveCloaking,
+  author  = {Ma, Qian and Mei, Zhong Lei and Zhu, Shou Kui and Jin, Tian Yu and Cui, Tie Jun},
+  title   = {Experiments on active cloaking and illusion for {Laplace} equation},
+  journal = {Physical Review Letters},
+  year    = {2013},
+  volume  = {111},
+  number  = {17},
+  pages   = {173901},
+  doi     = {10.1103/PhysRevLett.111.173901}
+}
+
+@article{UrzhumovSmith2012ActiveCloaks,
+  author  = {Urzhumov, Yaroslav A. and Smith, David R.},
+  title   = {Flow stabilization with active hydrodynamic cloaks},
+  journal = {Physical Review E},
+  year    = {2012},
+  volume  = {86},
+  number  = {5},
+  pages   = {056313},
+  doi     = {10.1103/PhysRevE.86.056313}
+}
+
+@article{DengEtAl2020PinballBifurcations,
+  author  = {Deng, Nan and Noack, Bernd R. and Morzy{\'n}ski, Marek and Pastur, Luc R.},
+  title   = {Low-order model for successive bifurcations of the fluidic pinball},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2020},
+  volume  = {884},
+  pages   = {A37},
+  doi     = {10.1017/jfm.2019.959}
+}
+
+@article{CornejoMacedaEtAl2021PinballControl,
+  author  = {Cornejo Maceda, G. Y. and Li, Y. and Lusseyran, F. and Morzy{\'n}ski, M. and Noack, B. R.},
+  title   = {Stabilization of the fluidic pinball with gradient-enriched machine learning control},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2021},
+  volume  = {917},
+  pages   = {A42},
+  doi     = {10.1017/jfm.2021.301}
+}
+
+@article{RabaultEtAl2019DRLFlowControl,
+  author  = {Rabault, Jean and Kuchta, Miroslav and Jensen, Atle and R{\'e}glade, Ulysse and Cerardi, Nicolas},
+  title   = {Artificial neural networks trained through deep reinforcement learning discover control strategies for active flow control},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2019},
+  volume  = {865},
+  pages   = {281--302},
+  doi     = {10.1017/jfm.2019.62}
+}
+
+@article{SchulmanEtAl2017PPO,
+  author        = {Schulman, John and Wolski, Filip and Dhariwal, Prafulla and Radford, Alec and Klimov, Oleg},
+  title         = {Proximal policy optimization algorithms},
+  journal       = {arXiv preprint arXiv:1707.06347},
+  year          = {2017},
+  eprint        = {1707.06347},
+  archiveprefix = {arXiv},
+  primaryclass  = {cs.LG}
+}
+
+
+@article{ParisEtAl2021RobustFlowControl,
+  author  = {Paris, Romain and Beneddine, Samir and Dandois, Julien},
+  title   = {Robust flow control and optimal sensor placement using deep reinforcement learning},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2021},
+  volume  = {913},
+  pages   = {A25},
+  doi     = {10.1017/jfm.2020.1170}
+}
+
+@article{GautierEtAl2015ClosedLoop,
+  author  = {Gautier, N. and Aider, J.-L. and Duriez, T. and Noack, B. R. and Segond, M. and Abel, M.},
+  title   = {Closed-loop separation control using machine learning},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2015},
+  volume  = {770},
+  pages   = {442--457},
+  doi     = {10.1017/jfm.2015.95}
+}
+
+@article{LoiseauEtAl2018SparseROM,
+  author  = {Loiseau, Jean-Christophe and Noack, Bernd R. and Brunton, Steven L.},
+  title   = {Sparse reduced-order modelling: sensor-based dynamics to full-state estimation},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2018},
+  volume  = {844},
+  pages   = {459--490},
+  doi     = {10.1017/jfm.2018.147}
+}
+
+@article{RaibaudoEtAl2020PinballControl,
+  author  = {Raibaudo, C{\'e}dric and Zhong, Peng and Noack, Bernd R. and Martinuzzi, Robert J.},
+  title   = {Machine learning strategies applied to the control of a fluidic pinball},
+  journal = {Physics of Fluids},
+  year    = {2020},
+  volume  = {32},
+  number  = {1},
+  pages   = {015108},
+  doi     = {10.1063/1.5127202}
+}
+
+@article{LiEtAl2022FlowEstimation,
+  author  = {Li, Songqi and Li, Wenpeng and Noack, Bernd R.},
+  title   = {Machine-learned control-oriented flow estimation for multi-actuator multi-sensor systems exemplified for the fluidic pinball},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2022},
+  volume  = {952},
+  pages   = {A36},
+  doi     = {10.1017/jfm.2022.908}
+}
+
+@article{SchlegelEtAl2012LeastOrder,
+  author  = {Schlegel, Michael and Noack, Bernd R. and Jordan, Peter and Dillmann, Andreas and Gr{\"o}schel, Elmar and Schr{\"o}der, Wolfgang and Wei, Mingjun and Freund, Jonathan B. and Lehmann, Oliver and Tadmor, Gilead},
+  title   = {On least-order flow representations for aerodynamics and aeroacoustics},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2012},
+  volume  = {697},
+  pages   = {367--398},
+  doi     = {10.1017/jfm.2012.70}
+}
+
+@article{Boree2003ExtendedPOD,
+  author  = {Bor{\'e}e, J.},
+  title   = {Extended proper orthogonal decomposition: a tool to analyse correlated events in turbulent flows},
+  journal = {Experiments in Fluids},
+  year    = {2003},
+  volume  = {35},
+  number  = {2},
+  pages   = {188--192},
+  doi     = {10.1007/S00348-003-0656-3}
+}
+
+@article{Crowdy2006MultipleCylinders,
+  author  = {Crowdy, Darren G.},
+  title   = {Analytical solutions for uniform potential flow past multiple cylinders},
+  journal = {European Journal of Mechanics B/Fluids},
+  year    = {2006},
+  volume  = {25},
+  number  = {4},
+  pages   = {459--470},
+  doi     = {10.1016/j.euromechflu.2005.11.005}
+}
+
+@article{UedaEtAl2003RotatingCylinders,
+  author  = {Ueda, Y. and Sellier, A. and Kida, T. and Nakanishi, M.},
+  title   = {On the low-{Reynolds}-number flow about two rotating circular cylinders},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2003},
+  volume  = {495},
+  pages   = {255--281},
+  doi     = {10.1017/S002211200300627X}
+}
+
+% Post-R5 high-confidence local-source wave (metadata provisional where audited).
+@article{Leonhardt2006OpticalMapping,
+  author  = {Leonhardt, Ulf},
+  title   = {Optical conformal mapping},
+  journal = {Science},
+  year    = {2006},
+  volume  = {312},
+  number  = {5781},
+  pages   = {1777--1780},
+  doi     = {10.1126/science.1126493}
+}
+
+@article{Miller2006PerfectActiveCloaking,
+  author  = {Miller, David A. B.},
+  title   = {On perfect cloaking},
+  journal = {Optics Express},
+  year    = {2006},
+  volume  = {14},
+  number  = {25},
+  pages   = {12457--12466}
+}
+
+@article{VasquezEtAl2009ActiveExterior,
+  author  = {Guevara Vasquez, Fernando and Milton, Graeme W. and Onofrei, Daniel},
+  title   = {Active exterior cloaking for the {2D} {Laplace} and {Helmholtz} equations},
+  journal = {Physical Review Letters},
+  year    = {2009},
+  volume  = {103},
+  number  = {7},
+  pages   = {073901},
+  doi     = {10.1103/PhysRevLett.103.073901}
+}
+
+@article{LinEtAl2021ActiveAcousticIllusions,
+  author  = {Lin, Cikai and Liu, Daipei and Eggler, Daniel and Kessissoglou, Nicole},
+  title   = {Active acoustic cloaking and illusions of sound-hard bodies using the boundary element method},
+  journal = {The Journal of the Acoustical Society of America},
+  year    = {2021},
+  volume  = {149},
+  number  = {3},
+  pages   = {1803--1812}
+}
+
+@article{ChenEtAl2024MultilayerHydrodynamicCloak,
+  author  = {Chen, Mengyao and Shen, Xiangying and Xu, Lei},
+  title   = {A multilayered homogeneous hydrodynamic cloak realized in a free fluid flow},
+  journal = {Applied Physics Letters},
+  year    = {2024},
+  volume  = {125},
+  number  = {17}
+}
+
+@article{RenEtAl2021HydrodynamicStealthDRL,
+  author  = {Ren, Feng and Wang, Chenglei and Tang, Hui},
+  title   = {Bluff body uses deep-reinforcement-learning trained active flow control to achieve hydrodynamic stealth},
+  journal = {Physics of Fluids},
+  year    = {2021},
+  volume  = {33},
+  number  = {9},
+  pages   = {093602},
+  doi     = {10.1063/5.0060690}
+}
+
+@article{DengEtAl2021PinballForceModel,
+  author  = {Deng, Nan and Noack, Bernd R. and Morzy{\'n}ski, Marek and Pastur, Luc R.},
+  title   = {Galerkin force model for transient and post-transient dynamics of the fluidic pinball},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2021},
+  volume  = {918},
+  pages   = {A4},
+  doi     = {10.1017/jfm.2021.299}
+}
+
+@article{FengEtAl2023PinballForceControl,
+  author  = {Feng, Haodong and Wang, Yue and Xiang, Hui and Jin, Zhiyang and Fan, Dixia},
+  title   = {How to control hydrodynamic force on fluidic pinball via deep reinforcement learning},
+  journal = {Physics of Fluids},
+  year    = {2023},
+  volume  = {35},
+  number  = {4},
+  pages   = {045137},
+  doi     = {10.1063/5.0142949}
+}
+
+@article{BeemTriantafyllou2015WakeSensing,
+  author  = {Beem, Heather R. and Triantafyllou, Michael S.},
+  title   = {Wake-induced `slaloming' response explains exquisite sensitivity of seal whisker-like sensors},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2015},
+  volume  = {783},
+  pages   = {306--322}
+}
+
+@article{SakoeChiba1978DynamicProgramming,
+  author  = {Sakoe, H. and Chiba, S.},
+  title   = {Dynamic programming algorithm optimization for spoken word recognition},
+  journal = {IEEE Transactions on Acoustics, Speech, and Signal Processing},
+  year    = {1978},
+  volume  = {26},
+  number  = {1},
+  pages   = {43--49},
+  doi     = {10.1109/TASSP.1978.1163055}
+}
+
+@book{Muller2015FundamentalsMusicProcessing,
+  author    = {M{\"u}ller, Meinard},
+  title     = {Fundamentals of Music Processing: Audio, Analysis, Algorithms, Applications},
+  publisher = {Springer},
+  year      = {2015},
+  volume    = {5}
+}
+
+@article{FengWang2010SyntheticJetCylinder,
+  author  = {Feng, Li Hao and Wang, Jin Jun},
+  title   = {Circular cylinder vortex-synchronization control with a synthetic jet positioned at the rear stagnation point},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2010},
+  volume  = {662},
+  pages   = {232--259}
+}
+
+@article{LiEtAl2017GeneticProgrammingControl,
+  author  = {Li, R. and Noack, B. R. and Cordier, L. and Bor{\'e}e, J. and Harambat, F.},
+  title   = {Drag reduction of a car model by linear genetic programming control},
+  journal = {Experiments in Fluids},
+  year    = {2017},
+  volume  = {58},
+  pages   = {103}
+}
+
+@article{BruntonEtAl2016SINDy,
+  author  = {Brunton, Steven L. and Proctor, Joshua L. and Kutz, J. Nathan},
+  title   = {Discovering governing equations from data by sparse identification of nonlinear dynamical systems},
+  journal = {Proceedings of the National Academy of Sciences},
+  year    = {2016},
+  volume  = {113},
+  pages   = {3932--3937},
+  doi     = {10.1073/pnas.1517384113}
+}
+
+@article{Cranmer2023PySR,
+  author        = {Cranmer, Miles},
+  title         = {Interpretable machine learning for science with {PySR} and {SymbolicRegression.jl}},
+  journal       = {arXiv preprint arXiv:2305.01582},
+  year          = {2023},
+  eprint        = {2305.01582},
+  archiveprefix = {arXiv}
+}
+
+% Post-R5 Undermind full-PDF verified gap wave.
+@article{FanEtAl2020BluffBodyRL,
+  author  = {Fan, Dixia and Yang, Liu and Wang, Zhicheng and Triantafyllou, Michael S. and Karniadakis, George E.},
+  title   = {Reinforcement learning for bluff body active flow control in experiments and simulations},
+  journal = {Proceedings of the National Academy of Sciences},
+  year    = {2020},
+  volume  = {117},
+  number  = {42},
+  pages   = {26091--26098},
+  doi     = {10.1073/pnas.2004939117}
+}
+
+@article{LiZhang2022ConfinedWakeRL,
+  author  = {Li, Ji-chao and Zhang, Mengqi},
+  title   = {Reinforcement-learning-based control of confined cylinder wakes with stability analyses},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2022},
+  volume  = {932},
+  pages   = {A44},
+  doi     = {10.1017/jfm.2021.1045}
+}
+
+@article{MarraEtAl2024ActuationManifold,
+  author  = {Marra, L. and Cornejo Maceda, G. Y. and Meil{\'a}n-Vila, A. and Guerrero, V. and Rashwan, S. and Noack, B. R. and Discetti, S. and Ianiro, A.},
+  title   = {Actuation manifold from snapshot data},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2024},
+  volume  = {996},
+  pages   = {A26},
+  doi     = {10.1017/jfm.2024.593}
+}
+
+@article{JinEtAl2022SensorActuatorPlacement,
+  author  = {Jin, B. and Illingworth, S. J. and Sandberg, R. D.},
+  title   = {Optimal sensor and actuator placement for feedback control of vortex shedding},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2022},
+  volume  = {932},
+  pages   = {A2},
+  doi     = {10.1017/jfm.2021.948}
+}
+
+@article{GongEtAl2020VortexEstimation,
+  author  = {Gong, Jiwen and Monty, Jason P. and Illingworth, Simon J.},
+  title   = {Model-based estimation of vortex shedding in unsteady cylinder wakes},
+  journal = {Physical Review Fluids},
+  year    = {2020},
+  volume  = {5},
+  pages   = {023901},
+  doi     = {10.1103/PhysRevFluids.5.023901}
+}
+
+@article{NairEtAl2021PhaseFlowControl,
+  author  = {Nair, Aditya G. and Taira, Kunihiko and Brunton, Bingni W. and Brunton, Steven L.},
+  title   = {Phase-based control of periodic flows},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2021},
+  volume  = {927},
+  doi     = {10.1017/jfm.2021.735}
+}
+
+@article{WangEtAl2024DynamicFeatureDRL,
+  author  = {Wang, Qiulei and Yan, Dong and Hu, Guodong and Chen, Gang and Rabault, Jean and Noack, Bernd R.},
+  title   = {Dynamic feature-based deep reinforcement learning for flow control of circular cylinder with sparse surface pressure sensing},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2024},
+  volume  = {988},
+  pages   = {A4},
+  doi     = {10.1017/jfm.2024.333}
+}
+
+@article{DebienEtAl2016GeneticProgrammingRamp,
+  author  = {Debien, Antoine and von Krbek, Kai A. F. F. and Mazellier, Nicolas and Duriez, Thomas and Cordier, Laurent and Noack, Bernd R. and Abel, Markus W. and Kourta, Azeddine},
+  title   = {Closed-loop separation control over a sharp edge ramp using genetic programming},
+  journal = {Experiments in Fluids},
+  year    = {2016},
+  volume  = {57},
+  number  = {3},
+  doi     = {10.1007/s00348-016-2126-8}
+}
+
+@article{CastellanosEtAl2022FewSensorMLControl,
+  author  = {Castellanos, R. and Cornejo Maceda, G. Y. and de la Fuente, I. and Noack, B. R. and Ianiro, A. and Discetti, S.},
+  title   = {Machine-learning flow control with few sensor feedback and measurement noise},
+  journal = {Physics of Fluids},
+  year    = {2022},
+  volume  = {34},
+  number  = {4},
+  pages   = {047118},
+  doi     = {10.1063/5.0087208}
+}
+
+@article{RenEtAl2019MachineLearningVIV,
+  author  = {Ren, Feng and Wang, Chenglei and Tang, Hui},
+  title   = {Active control of vortex-induced vibration of a circular cylinder using machine learning},
+  journal = {Physics of Fluids},
+  year    = {2019},
+  volume  = {31},
+  pages   = {093601},
+  doi     = {10.1063/1.5115258}
+}
+
+@article{ZolmanEtAl2025SINDyRL,
+  author  = {Zolman, Nicholas and Lagemann, Christian and Fasel, Urban and Kutz, J. Nathan and Brunton, Steven L.},
+  title   = {{SINDy-RL} for interpretable and efficient model-based reinforcement learning},
+  journal = {Nature Communications},
+  year    = {2025},
+  volume  = {16},
+  pages   = {10714},
+  doi     = {10.1038/s41467-025-65738-4}
+}
+
+@inproceedings{JordanEtAl2007ObservableJetModes,
+  author    = {Jordan, P. and Schlegel, M. and Stalnov, O. and Noack, B. R. and Tinney, C. E.},
+  title     = {Identifying noisy and quiet modes in a jet},
+  booktitle = {13th AIAA/CEAS Aeroacoustics Conference},
+  year      = {2007},
+  number    = {AIAA 2007-3602},
+  doi       = {10.2514/6.2007-3602}
+}
+
+@article{TadmorEtAl2010CylinderMeanField,
+  author  = {Tadmor, Gilead and Lehmann, Oliver and Noack, Bernd R. and Morzy{\'n}ski, Marek},
+  title   = {Mean field representation of the natural and actuated cylinder wake},
+  journal = {Physics of Fluids},
+  year    = {2010},
+  volume  = {22},
+  number  = {3},
+  pages   = {034102},
+  doi     = {10.1063/1.3298960}
+}
+
+@article{DiscettiEtAl2018CorrelatedFieldEstimation,
+  author  = {Discetti, Stefano and Raiola, Marco and Ianiro, Andrea},
+  title   = {Estimation of time-resolved turbulent fields through correlation of non-time-resolved field measurements and time-resolved point measurements},
+  journal = {Experimental Thermal and Fluid Science},
+  year    = {2018},
+  volume  = {93},
+  pages   = {119--130},
+  doi     = {10.1016/j.expthermflusci.2017.12.011}
+}
+
+@article{Mittal2001RotatingControlCylinders,
+  author  = {Mittal, Sanjay},
+  title   = {Control of flow past bluff bodies using rotating control cylinders},
+  journal = {Journal of Fluids and Structures},
+  year    = {2001},
+  volume  = {15},
+  number  = {2},
+  pages   = {291--326},
+  doi     = {10.1006/JFLS.2000.0337}
+}
+
+@article{ChanEtAl2011CounterRotatingCylinders,
+  author  = {Chan, A. S. and Dewey, P. A. and Jameson, A. and Liang, C. and Smits, A. J.},
+  title   = {Vortex suppression and drag reduction in the wake of counter-rotating cylinders},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2011},
+  volume  = {679},
+  pages   = {343--382},
+  doi     = {10.1017/jfm.2011.134}
+}
+
+@article{SierraEtAl2020RotatingCylinderBifurcations,
+  author  = {Sierra, J. and Fabre, D. and Citro, V. and Giannetti, F.},
+  title   = {Bifurcation scenario in the two-dimensional laminar flow past a rotating cylinder},
+  journal = {Journal of Fluid Mechanics},
+  year    = {2020},
+  volume  = {905},
+  pages   = {A2},
+  doi     = {10.1017/jfm.2020.692}
+}
+
+@article{Watson1996TwoRotatingCylinders,
+  author  = {Watson, E. J.},
+  title   = {Slow viscous flow past two rotating cylinders},
+  journal = {The Quarterly Journal of Mechanics and Applied Mathematics},
+  year    = {1996},
+  volume  = {49},
+  number  = {2},
+  pages   = {195--216},
+  doi     = {10.1093/QJMAM/49.2.195}
+}
+
@@ -0,0 +1,60 @@
+# Round 5 — Bottom-Up Section Production Controls
+
+## Scope
+Round 5 has completed its final audit, followed by post-R5 citation integration and a global static closeout. Current S1–S8 and S10 near-final section TeX are conditionally admitted to the review assembly; S9 remains an omitted author-field interface. Static TeX and 49-key bibliography integration pass, while runtime compilation and all dependent figure/source/provenance gates remain production conditions. No CFD, training, evaluator, rendering, artifact generation or new scientific analysis was performed in the final audit.
+
+Repository authorities, manifests, code/configuration and immutable artifacts control internal facts. Nowledge is navigation/history; literature supports external propositions and rhetorical diagnosis only. Prose readiness never implies artifact readiness.
+
+## Fixed units and canonical packets
+- A — Sections 1–2: `01_CONTEXT_PACKET_A_S01_S02.md`
+- B — Sections 3–4: `02_CONTEXT_PACKET_B_S03_S04.md`
+- C — Sections 5–6: `03_CONTEXT_PACKET_C_S05_S06.md`
+- D — Sections 7–8: `04_CONTEXT_PACKET_D_S07_S08.md`
+- E — Sections 9–10: `05_CONTEXT_PACKET_E_S09_S10.md`
+
+Each fixed writer remains attached to one unit through preflight, first draft, bounded literature diagnosis, approved rewrite and interface/final rounds. Resume with registry plus current packet; create a replacement only when resume is impossible or the context contract is invalidated.
+
+## Canonical controls
+- `00_AGENT_REGISTRY.md`: persistent writer identity, stage, feedback, gates and resume goal.
+- `00_PARAGRAPH_SECTION_INVENTORY.md`: stable paragraph IDs, jobs, outputs and initial budgets.
+- `00_CITATION_CANDIDATE_LEDGER.md`: authoritative R5 citation identity, source-state, key and exact external-proposition placement control.
+- `R5_REFERENCES.bib`: R5-owned bibliography for approved reader-facing external propositions only; never internal-result authority.
+- `master/R5_REVIEW_MASTER.tex`: safe review assembly with JFM bibliography integration; S9 remains omitted.
+- `00_CLAIM_EVIDENCE_ARTIFACT_LEDGER.md`: internal claim-to-authority and artifact-gate bindings.
+- `00_LIVE_LENGTH_SHARE_LEDGER.md`: provisional and actual word/share accounting.
+- `00_R5_FINAL_AUDIT.md`: completed decisive final audit and review-assembly admission record.
+
+## Exact section outputs
+| Section | TeX output | Audit output |
+|---|---|---|
+| 1 | `sections/SECTION_01_INTRODUCTION.tex` | `audits/SECTION_01_AUDIT.md` |
+| 2 | `sections/SECTION_02_PROBLEM_METHOD_EVALUATION.tex` | `audits/SECTION_02_AUDIT.md` |
+| 3 | `sections/SECTION_03_CAPABILITY_PROGRESSION.tex` | `audits/SECTION_03_AUDIT.md` |
+| 4 | `sections/SECTION_04_KARMAN_RESULTS.tex` | `audits/SECTION_04_AUDIT.md` |
+| 5 | `sections/SECTION_05_KARMAN_SR_LAW.tex` | `audits/SECTION_05_AUDIT.md` |
+| 6 | `sections/SECTION_06_KARMAN_FIELD_CCD.tex` | `audits/SECTION_06_AUDIT.md` |
+| 7 | `sections/SECTION_07_CROSS_CASE_EXTENSIONS.tex` | `audits/SECTION_07_AUDIT.md` |
+| 8 | `sections/SECTION_08_STEADY_THEORY.tex` | `audits/SECTION_08_AUDIT.md` |
+| 9 | `sections/SECTION_09_EXPERIMENT_PLACEHOLDER.tex` | `audits/SECTION_09_AUDIT.md` |
+| 10 | `sections/SECTION_10_DISCUSSION_CONCLUSION.tex` | `audits/SECTION_10_AUDIT.md` |
+
+The paths are contracts, not assertions that outputs exist. Section 9 permits explicit author-field placeholder TeX only.
+
+## Workflow
+1. Preflight: 2–3 narrow `DynamisLab JFM` memory searches; read registry, packet, owning R4 packet and named authorities; create paragraph evidence cards.
+2. Draft one paragraph job at a time; update claim/artifact and live-length ledgers.
+3. Diagnose the complete first draft with bounded full-PDF literature; record source state and rhetoric-only role.
+4. Apply only coordinator-approved deltas with the same writer.
+5. Audit each section and each interface wave before `section-pass`.
+6. Run structure/logic, evidence/data and length/display global passes, then terminology/style/TeX preflight.
+
+## Accepted author choices and retained gates
+S3 uses the two-figure safe default. S8 uses the multi-cylinder Hodge/period equation with adjacent one-circle incompatibility and one integrated figure. S9 allows explicit author-field placeholder TeX only. These decisions close author-choice status only. Every source, provenance, caption, artwork, evaluator, author-fact and production-readiness gate remains open unless separately audited and recorded.
+
+## Final Round-5 status — 2026-08-11
+
+- **Overall:** `CONDITIONAL PASS` for the nine-section R5 review assembly (S1–S8, S10).
+- **Length:** 7,434 uniform substantive words; S4–S6 contain 2,496 words / 33.58%; S9 has 0 substantive words and 272 excluded control tokens.
+- **Citations/static TeX:** 49/49 active keys resolve; 44 citation commands, 64 key occurrences, zero undefined keys and zero uncited entries. Static structure passes. Runtime compile remains conditional because no TeX/BibTeX toolchain is installed.
+- **S9:** substantive prose blocked and omitted pending author supply, provenance/permission audit and explicit reopening.
+- **Figures:** post-R5 production may begin only through the existing admission workflow; no planned display is publication-ready by virtue of R5 prose completion. Quantitative Vortex/Erase, unbound Illusion scalars, mismatched PPO/SR comparison, MFS mechanism/validation and ungated experiment panels remain ineligible.
@@ -0,0 +1,99 @@
+# Citation Expansion Bibliography Audit
+
+**Project / unit:** DynamisLab JFM post-R5 / bibliography and key normalization only.  
+**Owned outputs:** `../R5_REFERENCES.bib`, `../00_CITATION_CANDIDATE_LEDGER.md`, this audit, and the stale-count correction in `../master/STATIC_PREFLIGHT.md`.  
+**Excluded:** section prose, citation insertion, final disposition, CFD, literature research, dependency installation and new scientific analysis.
+
+## Inventory and admission result
+
+`R5_REFERENCES.bib` now contains **49 entries and 49 unique keys**:
+
+- **16 preserved records** from the completed R5 citation integration;
+- **15 high-confidence local-wave records** from `CITATION_EXPANSION_LOCAL_SOURCE_AUDIT.md`;
+- **18 full-PDF-verified Undermind records** from `CITATION_EXPANSION_UNDERMIND_GAP_AUDIT.md`.
+
+The net change is **+33 records**. The four optional local rows were not added. No existing record was deleted, renamed or rewritten. The later authorized prose-integration pass is complete: all 33 additions are now cited, so current section prose activates all 49 records.
+
+## Net-new key map
+
+| Wave | Final key | Identity | DOI / stable identifier |
+|---|---|---|---|
+| Local | `Leonhardt2006OpticalMapping` | Leonhardt, “Optical conformal mapping” (2006) | `10.1126/science.1126493` |
+| Local | `Miller2006PerfectActiveCloaking` | Miller, “On perfect cloaking” (2006) | none recorded |
+| Local | `VasquezEtAl2009ActiveExterior` | Guevara Vasquez, Milton & Onofrei (2009) | `10.1103/PhysRevLett.103.073901` |
+| Local | `LinEtAl2021ActiveAcousticIllusions` | Lin et al. (2021) | none recorded |
+| Local | `ChenEtAl2024MultilayerHydrodynamicCloak` | Chen, Shen & Xu (2024) | none recorded |
+| Local | `RenEtAl2021HydrodynamicStealthDRL` | Ren, Wang & Tang (2021) | `10.1063/5.0060690` |
+| Local | `DengEtAl2021PinballForceModel` | Deng et al. (2021) | `10.1017/jfm.2021.299` |
+| Local | `FengEtAl2023PinballForceControl` | Feng et al. (2023) | `10.1063/5.0142949` |
+| Local | `BeemTriantafyllou2015WakeSensing` | Beem & Triantafyllou (2015) | none recorded |
+| Local | `SakoeChiba1978DynamicProgramming` | Sakoe & Chiba (1978) | `10.1109/TASSP.1978.1163055` |
+| Local | `Muller2015FundamentalsMusicProcessing` | Müller (2015) | none recorded |
+| Local | `FengWang2010SyntheticJetCylinder` | Feng & Wang (2010) | none recorded |
+| Local | `LiEtAl2017GeneticProgrammingControl` | Li et al. (2017) | none recorded |
+| Local | `BruntonEtAl2016SINDy` | Brunton, Proctor & Kutz (2016) | `10.1073/pnas.1517384113` |
+| Local | `Cranmer2023PySR` | Cranmer (2023) | arXiv `2305.01582` |
+| Undermind | `FanEtAl2020BluffBodyRL` | Fan et al. (2020) | `10.1073/pnas.2004939117` |
+| Undermind | `LiZhang2022ConfinedWakeRL` | Li & Zhang (2022) | `10.1017/jfm.2021.1045` |
+| Undermind | `MarraEtAl2024ActuationManifold` | Marra et al. (2024) | `10.1017/jfm.2024.593` |
+| Undermind | `JinEtAl2022SensorActuatorPlacement` | Jin, Illingworth & Sandberg (2022) | `10.1017/jfm.2021.948` |
+| Undermind | `GongEtAl2020VortexEstimation` | Gong, Monty & Illingworth (2020) | `10.1103/PhysRevFluids.5.023901` |
+| Undermind | `NairEtAl2021PhaseFlowControl` | Nair et al. (2021) | `10.1017/jfm.2021.735` |
+| Undermind | `WangEtAl2024DynamicFeatureDRL` | Wang et al. (2024) | `10.1017/jfm.2024.333` |
+| Undermind | `DebienEtAl2016GeneticProgrammingRamp` | Debien et al. (2016) | `10.1007/s00348-016-2126-8` |
+| Undermind | `CastellanosEtAl2022FewSensorMLControl` | Castellanos et al. (2022) | `10.1063/5.0087208` |
+| Undermind | `RenEtAl2019MachineLearningVIV` | Ren, Wang & Tang (2019) | `10.1063/1.5115258` |
+| Undermind | `ZolmanEtAl2025SINDyRL` | Zolman et al. (2025) | `10.1038/s41467-025-65738-4` |
+| Undermind | `JordanEtAl2007ObservableJetModes` | Jordan et al. (2007) | `10.2514/6.2007-3602` |
+| Undermind | `TadmorEtAl2010CylinderMeanField` | Tadmor et al. (2010) | `10.1063/1.3298960` |
+| Undermind | `DiscettiEtAl2018CorrelatedFieldEstimation` | Discetti, Raiola & Ianiro (2018) | `10.1016/j.expthermflusci.2017.12.011` |
+| Undermind | `Mittal2001RotatingControlCylinders` | Mittal (2001) | `10.1006/JFLS.2000.0337` |
+| Undermind | `ChanEtAl2011CounterRotatingCylinders` | Chan et al. (2011) | `10.1017/jfm.2011.134` |
+| Undermind | `SierraEtAl2020RotatingCylinderBifurcations` | Sierra et al. (2020) | `10.1017/jfm.2020.692` |
+| Undermind | `Watson1996TwoRotatingCylinders` | Watson (1996) | `10.1093/QJMAM/49.2.195` |
+
+## Collision, duplicate and exclusion checks
+
+- **Keys:** 49 parsed keys, 49 unique; no key collision.
+- **DOIs:** 40 DOI-bearing records, 40 normalized unique DOI strings; normalization lowercases and strips `doi:`, `https://doi.org/`, surrounding braces and trailing punctuation. No DOI duplicate was found.
+- **Legacy prohibition:** key `Urzhumov2012` is absent. The preserved active-cloak identity remains `UrzhumovSmith2012ActiveCloaks`.
+- **Loiseau collision:** optional `LoiseauBrunton2018ConstrainedGalerkin` was not added; current `LoiseauEtAl2018SparseROM` remains the only admitted Loiseau 2018 identity.
+- **Li collision:** `LiEtAl2017GeneticProgrammingControl` was added. The selected 18-row Undermind wave does not contain `Li16`, so no duplicate identity was imported.
+- **Optional local exclusions:** Monticone & Alù (2013), Zou et al. (2019), Brunton et al. (2020), and Loiseau & Brunton (2018) remain absent.
+
+## Provisional metadata flags
+
+The user authorized syntactically valid provisional metadata for local-wave records pending manual checking. The following local records have no recorded DOI and retain local-source metadata without invented DOI, pages, issue or article number:
+
+- `Miller2006PerfectActiveCloaking`;
+- `LinEtAl2021ActiveAcousticIllusions`;
+- `ChenEtAl2024MultilayerHydrodynamicCloak`;
+- `BeemTriantafyllou2015WakeSensing`;
+- `Muller2015FundamentalsMusicProcessing`;
+- `FengWang2010SyntheticJetCylinder`;
+- `LiEtAl2017GeneticProgrammingControl`.
+
+`Cranmer2023PySR` is an arXiv record and intentionally has no DOI. Existing repository authorities supplied DOI/article metadata for Leonhardt, Vasquez, Ren (2021), Deng (2021) and Feng (2023). Unverified pages/volumes were not invented for Undermind rows; notably, `NairEtAl2021PhaseFlowControl` carries the verified venue/volume/DOI but no article number.
+
+## Static validation
+
+The repository has no BibTeX/Biber executable and no designated standalone bibliography checker. A read-only Python static scanner was therefore used without dependency changes. It checked:
+
+- balanced braces across the file and within every entry;
+- top-level entry segmentation and parseable `@type{key,...}` headers;
+- unique keys;
+- normalized DOI uniqueness;
+- required identity fields (`author`, `title`, `year`) and a venue field appropriate to each entry type;
+- absence of prohibited/optional keys.
+
+Result: **PASS** — 49 entries, 49 unique keys, 40 unique normalized DOIs, balanced braces, and zero malformed entry headers. This is static parseability, not a runtime BibTeX compilation claim.
+
+## Closeout
+
+Section `.tex` files, legacy bibliographies and final-audit disposition were not edited. `master/STATIC_PREFLIGHT.md` was updated only because its exact 16-entry/all-cited claim became misleading after bibliography expansion. Nowledge was queried three times for navigation and yielded no newer bibliography-specific authority; repository records and existing full-PDF audit outputs controlled the work. Undermind was not called and no literature research was performed. No CFD, training, artifact generation, dependency installation or new scientific analysis occurred.
+
+## Post-integration current-state addendum — 2026-08-11
+
+The bibliography itself is unchanged from the normalization audit. A fresh current-file census finds 49 entries, 49 unique keys, 40 DOI-bearing records with 40 unique normalized DOI strings, balanced braces, zero malformed headers, zero undefined active keys and zero uncited entries. Section TeX contains 44 citation commands, 64 key occurrences and 49 unique active keys. All 33 net-new keys are cited; no prune-versus-placement decision is required on uncited-status grounds.
+
+The normalization audit's 33-uncited statement is superseded by this addendum. Runtime BibTeX validation remains unavailable, and the seven provisional no-DOI local records plus the 15-record local full-text verification gate remain as recorded in `CITATION_EXPANSION_FINAL_AUDIT.md`.
@@ -0,0 +1,56 @@
+# Citation Expansion Final Audit
+
+**Project / unit:** DynamisLab JFM / post-R5 citation integration global closeout.  
+**Date:** 2026-08-11.  
+**Disposition:** **CONDITIONAL PASS — static citation/key/governance integration complete; source-state, metadata and runtime gates remain.**  
+**Protected record:** `../00_R5_FINAL_AUDIT.md` overall disposition was not changed.
+
+## Scope and non-mutation boundary
+
+Current S1–S8 and S10, S9 placeholder, `R5_REFERENCES.bib`, review master, section audits, citation controls, three expansion audits, live-length ledger, final audit and static preflight were read. This closeout changed control/audit statements only. It did **not** edit section prose, the bibliography, the review master or the existing final-audit disposition. No citation was added merely to eliminate an uncited entry.
+
+## Authoritative current census
+
+- Uniform substantive words: **7,434** across S1–S8 and S10; S9 remains **0 substantive / 272 control tokens**.
+- Section counts: S1 **1,123**; S2 **1,612**; S3 **578**; S4 **793**; S5 **958**; S6 **745**; S7 **499**; S8 **591**; S10 **535**.
+- Kármán analytical centre S4–S6: **2,496 / 7,434 = 33.58%**. Provisional 42%/44% diagnostics are 3,122/3,271, gaps 626/775; no padding is authorized.
+- Source burden: **12** displayed equation environments, **31** nonblank displayed rows, **143** inline-math spans, **44** citation commands and **64** cited-key occurrences.
+- Citation/bibliography: **49 unique active keys / 49 bibliography entries**; undefined keys **0**; uncited entries **0**; duplicate keys **0**; DOI-bearing entries **40**, duplicate normalized DOIs **0**.
+- All **33/33** post-R5 keys are cited. There is no uncited-key prune list. Retain current placements subject to the source-state gates below; citation status alone is not a reason to prune or add text.
+
+## Master, S9 and static TeX
+
+The master has exactly nine active inputs in order: S1, S2, S3, S4, S5, S6, S7, S8 and S10. Every input resolves. S9 exists only as an author-field placeholder and is explicitly omitted; S10 imports no S9 result. The active bibliography commands remain `\bibliographystyle{jfm}` and `\bibliography{../R5_REFERENCES}`.
+
+Comment-aware static checks pass for balanced braces, nested/paired environments, math delimiters, section/document ownership, bibliography path/style, prohibited legacy key absence, and active-key resolution. No TeX engine, BibTeX/Biber executable or resolver is installed, so no runtime compile was attempted.
+
+## Governance and quarantine
+
+Static prose/control searches preserve the exact configuration separation, Kármán spelling and `action-correlated correction-field modes` terminology. The integration does not promote positive Illusion SR, Kármán-law transfer, OID/PCD claims, CCD causality/validation/superiority/triangulation, old configuration chains, experimental validation, internal-result verification by literature, or priority/first-of-kind wording. S4 PPO, S5 SR and S6 four-role quantities remain distinct acquisitions and estimands. S9 remains quarantined.
+
+## Exact unresolved items
+
+1. **Local-source full-text gate:** all 15 local-wave identities remain `local-bibliography/context mapped, full text unverified`. Their present sentences are bounded to broad genealogy, method identity or context. Before submission, verify each exact proposition in full text or prune/rewrite that placement; literature cannot support internal project facts.
+2. **Provisional metadata:** seven local records have no recorded DOI and retain provisional local metadata: `Miller2006PerfectActiveCloaking`, `LinEtAl2021ActiveAcousticIllusions`, `ChenEtAl2024MultilayerHydrodynamicCloak`, `BeemTriantafyllou2015WakeSensing`, `Muller2015FundamentalsMusicProcessing`, `FengWang2010SyntheticJetCylinder`, and `LiEtAl2017GeneticProgrammingControl`. Confirm metadata manually; do not invent missing fields. `Cranmer2023PySR` is intentionally identified by arXiv `2305.01582`, not treated as a missing-DOI defect.
+3. **Runtime bibliography/TeX gate:** compile with the documented JFM class/style path when a TeX/BibTeX toolchain is available; inspect undefined-citation/reference warnings, bibliography rendering, class/package compatibility, fonts, line numbering, bad boxes and layout.
+4. **Existing scientific/production gates:** all source/provenance/caption/artwork/evaluator/S9 and historical-$U_0/U_{ref}$ conditions in `../00_R5_FINAL_AUDIT.md` remain unchanged. This citation closeout does not close them.
+
+## Files changed by this closeout
+
+- `../00_LIVE_LENGTH_SHARE_LEDGER.md`
+- `GLOBAL_PASS3_LENGTH_DISPLAY_AUDIT.md`
+- `../00_CITATION_CANDIDATE_LEDGER.md`
+- `CITATION_EXPANSION_BIBLIOGRAPHY_AUDIT.md`
+- `../master/STATIC_PREFLIGHT.md`
+- `SECTION_01_AUDIT.md`
+- `SECTION_02_AUDIT.md`
+- `SECTION_05_AUDIT.md`
+- `SECTION_06_AUDIT.md`
+- `SECTION_08_AUDIT.md`
+- `../README.md`
+- `../00_AGENT_REGISTRY.md`
+- this file, `CITATION_EXPANSION_FINAL_AUDIT.md`
+
+## Evidence and computation closeout
+
+Nowledge was searched three times narrowly and used for navigation only; current repository files controlled every count and status. Working Memory, thread recall and `mem_fs` were not used. Existing local and Undermind audit source states were read; no literature search or PDF read was performed in this closeout. Static Python counting/parsing and governance searches were used. No CFD, training, evaluator, rendering, artifact generation, dependency change or scientific re-analysis occurred.
@@ -0,0 +1,46 @@
+# Citation Expansion Local Full-Text Verification
+
+**Unit:** all 15 frozen local-wave papers currently cited in S1/S2/S5.  
+**Owned outputs:** this audit, `../00_CITATION_CANDIDATE_LEDGER.md`, and source-state overrides in `CITATION_EXPANSION_LOCAL_SOURCE_AUDIT.md`.  
+**Excluded:** section TeX, `R5_REFERENCES.bib`, final disposition, broad literature search and internal verification.
+
+## Current-sentence basis
+
+Current exact citation-bearing sentences were read first in S1 paragraphs 1--4, S2 actuation/observation/DTW blocks, and S5 paragraphs 2--3. The verification question for each paper was limited to the proposition already written there.
+
+## Paper-by-paper result
+
+| R5 key | Verified identity / DOI or link | PDF/read state | Current proposition and passage | Disposition |
+|---|---|---|---|---|
+| `Leonhardt2006OpticalMapping` | U. Leonhardt, “Optical conformal mapping,” *Science* 312, 1777--1780 (2006), DOI `10.1126/science.1126493` | `full-PDF` | Conformal mapping supplies an effectively two-dimensional optical-invisibility construction; p.1778 (PDF p.2), mapping to empty space. | **KEEP**; current transformation-optics genealogy is bounded and supported. |
+| `Miller2006PerfectActiveCloaking` | D. A. B. Miller, “On perfect cloaking,” *Optics Express* 14, 12457--12466 (2006), DOI `10.1364/OE.14.012457` | `mapped/inaccessible`; exact PDF retrieval failed | Metadata/abstract says sensors and active sources near the region, but no page passage was readable. | **REMOVE** from the current citation cluster unless full text is supplied; Vasquez supports the retained source-based linear-PDE example. |
+| `VasquezEtAl2009ActiveExterior` | F. Guevara Vasquez, G. W. Milton & D. Onofrei, “Active exterior cloaking for the 2D Laplace and Helmholtz equations,” *PRL* 103, 073901 (2009), DOI `10.1103/PhysRevLett.103.073901` | `full-PDF` | One exterior device is proved for 2-D quasistatics and three are demonstrated numerically for 2-D Helmholtz; abstract p.1, equations/limits pp.1--3. | **KEEP**; current “specified linear equations” wording is safe. |
+| `LinEtAl2021ActiveAcousticIllusions` | C. Lin et al., “Active acoustic cloaking and illusions of sound-hard bodies using the boundary element method,” *JASA* 149, 1803--1812 (2021), DOI `10.1121/10.0003556` | `full-PDF` | Active MIMO acoustic control reproduces a target scattered field to misrepresent object size/orientation; §III.B pp.1805--1806 and §IV pp.1810--1811. | **KEEP**; retain acoustic/non-zero-signature scope. |
+| `ChenEtAl2024MultilayerHydrodynamicCloak` | M. Chen, X. Shen & L. Xu, “A multilayered homogeneous hydrodynamic cloak realized in a free fluid flow,” *APL* 125, 171701 (2024), DOI `10.1063/5.0230069` | `full-PDF` | Ten-layer nonporous free-fluid cloak tested numerically and experimentally at `Re≈0.08`; pp.2--4, with `Re≪1` limit on p.5. | **KEEP**; “restricted low-inertia or free-flow regimes” is supported. |
+| `RenEtAl2021HydrodynamicStealthDRL` | F. Ren, C. Wang & H. Tang, “Bluff body uses deep-reinforcement-learning trained active flow control to achieve hydrodynamic stealth,” *Phys. Fluids* 33, 093602 (2021), DOI `10.1063/5.0060690` | `full-PDF` | DRL controls WSLB actuation using 33 velocity sensors on a line 2D downstream; the sensor-line uniform-flow discrepancy defines the objective; §§I--II, pp.1--5. | **KEEP**; current text correctly refuses equivalence with full-field target comparison. |
+| `DengEtAl2021PinballForceModel` | N. Deng et al., “Galerkin force model for transient and post-transient dynamics of the fluidic pinball,” *JFM* 918, A4 (2021), DOI `10.1017/jfm.2021.299` | `full-PDF` | Force is a constant-linear-quadratic function of Galerkin amplitudes and is applied across transient/post-transient regimes; abstract p.1, eq.2.18 p.6, conclusion p.25. | **KEEP**; “informative reduced object, not field substitute” is a safe manuscript distinction. |
+| `FengEtAl2023PinballForceControl` | H. Feng et al., “How to control hydrodynamic force on fluidic pinball via deep reinforcement learning,” *Phys. Fluids* 35 (2023), DOI `10.1063/5.0142949` | `full-PDF` | DRL controls force extrema and drag tracking using cylinder rotation and force-history state; abstract p.1, §III p.5, §IV.A pp.9--10, conclusion p.13. | **KEEP**; paper explicitly leaves wake/velocity information to future work. |
+| `BeemTriantafyllou2015WakeSensing` | H. Beem & M. S. Triantafyllou, “Wake-induced ‘slaloming’ response explains exquisite sensitivity of seal whisker-like sensors,” *JFM* 783, 306--322 (2015), DOI `10.1017/jfm.2015.513` | `mapped/inaccessible`; exact JFM PDF retrieval failed | No page passage available. Workspace `Bee15b` is an accessible arXiv precursor with a different title, not the exact cited record. | **REMOVE** both current uses unless the exact full text is supplied and read; delete/soften the biological analogy. |
+| `SakoeChiba1978DynamicProgramming` | H. Sakoe & S. Chiba, “Dynamic programming algorithm optimization for spoken word recognition,” *IEEE TASSP* 26, 43--49 (1978), DOI `10.1109/TASSP.1978.1163055` | `full-PDF` | DP minimizes time-normalized distance; monotonicity, continuity, boundary and slope constraints define admissible warping; §§I--II.B, pp.43--44. | **KEEP**; current generic origin/path statement is supported. |
+| `Muller2015FundamentalsMusicProcessing` | M. Müller, *Fundamentals of Music Processing*, Springer (2015), DOI `10.1007/978-3-319-21945-5` | PDF listed available, but two bounded `read_pdfs` attempts timed out; `mapped/unread` | No chapter/page passage returned for local cost, accumulated cost or path constraints. | **REMOVE** pending readable chapter evidence; reword the sentence to rely only on Sakoe--Chiba’s verified path/constraint definitions. |
+| `FengWang2010SyntheticJetCylinder` | L. H. Feng & J. J. Wang, “Circular cylinder vortex-synchronization control with a synthetic jet positioned at the rear stagnation point,” *JFM* 662, 232--259 (2010), DOI `10.1017/S0022112010003174` | `mapped/inaccessible`; exact PDF retrieval failed | No page passage available. Workspace `Fen10` is a different three-author *Journal of Fluids and Structures* paper and cannot verify this citation. | **REMOVE** this key and the localized-AFC clause unless exact full text is supplied. |
+| `LiEtAl2017GeneticProgrammingControl` | R. Li et al., “Drag reduction of a car model by linear genetic programming control,” *Exp. Fluids* 58, 103 (2017), DOI `10.1007/s00348-017-2382-2` | `full-PDF` | Symbolic GP uses the experiment to evolve explicit feedback laws; inner-loop plant evaluation and outer-loop learning are stated in §1 p.3 and §3.3 p.9. | **KEEP**; direct-controller-search versus post-hoc regression is exact. |
+| `BruntonEtAl2016SINDy` | S. L. Brunton, J. L. Proctor & J. N. Kutz, “Discovering governing equations from data by sparse identification of nonlinear dynamical systems,” *PNAS* 113, 3932--3937 (2016), DOI `10.1073/pnas.1517384113` | `full-PDF` | Sparse regression selects active terms from a candidate nonlinear-function library to form parsimonious dynamical equations; abstract/significance p.1 and method p.2. | **KEEP**; current text correctly distinguishes dynamics identification from policy mapping. |
+| `Cranmer2023PySR` | M. Cranmer, “Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl,” arXiv:2305.01582 (2023), DOI `10.48550/arXiv.2305.01582` | `full-PDF` | PySR uses a multi-population evolve--simplify--optimize loop and explicitly optimizes constants; pp.1, 5--6. | **KEEP**; method/software role is supported and does not validate the present law. |
+
+## Required later prose action
+
+- **Remove `Miller2006PerfectActiveCloaking`** from the S1 active-construction cluster unless its exact PDF is supplied. The surviving Vasquez and Lin papers support source-based linear-PDE cloaking and non-zero acoustic illusion; do not retain a Miller-specific sensor/source claim from metadata alone.
+- **Remove both `BeemTriantafyllou2015WakeSensing` uses** and delete or soften the biological analogy. The accessible `Bee15b` arXiv precursor is not silently substituted for the exact JFM record.
+- **Remove `Muller2015FundamentalsMusicProcessing`** pending readable chapter pages. Recast the DTW definition around the verified Sakoe--Chiba monotonicity, continuity, boundary and slope constraints.
+- **Remove `FengWang2010SyntheticJetCylinder`** and its localized synthetic-jet clause pending exact full text. `Fen10` is a different paper and is prohibited as a surrogate identity.
+
+These are recommendations for a separately authorized TeX/bibliography correction pass; this unit makes no such edits.
+
+## Identity corrections recovered
+
+Previously provisional DOI fields are now resolved: Miller `10.1364/OE.14.012457`; Lin `10.1121/10.0003556`; Chen `10.1063/5.0230069`; Beem `10.1017/jfm.2015.513`; Müller `10.1007/978-3-319-21945-5`; Feng & Wang `10.1017/S0022112010003174`; Li et al. `10.1007/s00348-017-2382-2`; Cranmer `10.48550/arXiv.2305.01582`. These metadata corrections are recorded here only because bibliography editing is excluded.
+
+## Tool and evidence closeout
+
+Undermind `get_orientation` and `list_workspaces` reconfirmed the existing DynamisLab workspace. `get_paper_info(show_doi=true)` was called for all known workspace identities; exact metadata lookup was used only for Miller, Cranmer, Feng--Wang and the exact Beem JFM record, followed by mandatory `get_paper_info`. Bounded `read_pdfs` questions addressed only current propositions. Eleven papers yielded `full-PDF` passages. Miller, Feng--Wang and exact Beem were `mapped/inaccessible`; Müller was PDF-listed but two bounded reads timed out and remains `mapped/unread`. No broad or deep search ran. No literature evidence was used to verify project values, artifacts, configurations or performance, and no CFD/training/evaluator/rendering operation ran.
@@ -0,0 +1,152 @@
+# Citation Expansion Local-Source Audit
+
+**Project / stage / unit:** DynamisLab JFM / post-R5 citation expansion / merged local-source control.  
+**Deliverable:** paragraph-level candidate and verification plan only.  
+**Owned outputs:** this audit and `../00_CITATION_CANDIDATE_LEDGER.md`.  
+**Excluded:** section TeX, `R5_REFERENCES.bib`, legacy bibliographies, final-audit disposition, literature promotion, and all internal scientific re-analysis.
+
+## 1. Source census and merge rule
+
+The local census is accepted as the starting control:
+
+- `docs/My_Confirmation`: 35 unique cited keys and 53 cited-key occurrences across Chapters 1–5. Two identities are exact duplicates of current R5 records: `pendry2006controlling` and `rabault2019artificial`.
+- `docs/JFM_WYQ/My_JFM/FLMguide.tex`: 9 active keys and 10 cited-key occurrences. Four identities are exact duplicates of current R5 records: `Gautier2015`, `Deng2020`, `CornejoMaceda2021` and `Boree2003`.
+- The current reader-facing set remains 16 unique references. Duplicate source keys are mapped to the descriptive R5 keys and never counted as net-new.
+- Identity is determined by authors/title/year/venue/DOI where recorded, not by source key spelling. The local files nominate propositions but are not full-text evidence.
+
+## 2. Paragraph-level expansion plan
+
+| Priority | Section / paragraph job | Planned uplift | Local-source function | Boundary |
+|---|---|---:|---|---|
+| 1 | **S1-P1**, cloak/illusion genealogy and finite-Re boundary | 150–200 | Add the independent 2006 transformation-optics branch; distinguish active source-based cloaking and non-zero illusion; add low-Re passive hydrodynamic and finite-Re active precedents | No universality, no project novelty, no claim that linear-wave control transfers to Navier–Stokes |
+| 1 | **S1-P2**, pinball/AFC lineage and force-versus-field distinction | 65–100 | Add pinball force-model and force-control context plus one conventional shedding-control example | External work motivates the distinction; it does not establish this plant, configuration or field result |
+| 1 | **S1-P3**, DRL, sensing and observer-space motivation | 45–70 | Add broad ML-fluid context and a biological wake-sensing precedent | No optimal-sensor, full-observability or natural-stealth claim |
+| 1 | **S1-P4**, interpretable feedback and sparse identification | 40–60 | Position genetic-programming control, SINDy and PySR as distinct interpretability precedents | Do not call SR governing-equation discovery or use literature to validate the executable law |
+| 2 | **S2 actuation/observation blocks**, pinball force control and wake sensing | 55–85 | Explain why integrated force and sparse downstream velocity are complementary measurement classes | No sensor optimality, no transfer from another pinball setup, no configuration-chain inference |
+| 2 | **S2 DTW evaluation block** | 75–115 | State DTW's dynamic-programming origin and standard path interpretation | External DTW sources define the method only; exact normalization, channels, windows and constraints remain repository-owned |
+| 3 | **S5 opening and execution-test blocks** | 55–85 | Contrast direct genetic-programming control, sparse dynamical-system identification and post-hoc policy-map regression | Closed-loop necessity remains argued from the present task; no external source validates the present law |
+| 3 | **S5 reflection/model-selection block** | 35–65 | Use constrained sparse regression as optional context for structural constraints and dynamical assessment | Distinct from the current imposed reflection map and from CFD execution |
+| 4 | **S6 CCD/POD distinction and closing caveat** | 15–35 | One compact literature-facing sentence locating correlation-oriented modes among data-driven flow-analysis tools | No OID import, no causal language, no superiority, no triangulation, no energy interpretation |
+
+The ranges sum to S1 +300–430, S2 +130–200, S5 +90–150 and S6 +15–35, or +535–815 overall. S3/S4/S7/S8/S10 are no-padding zones unless a later full-text read identifies a proposition with unique paragraph ownership.
+
+## 3. High-confidence local wave — 15 net-new identities
+
+All rows have source state **`local-bibliography/context mapped, full text unverified`**. `Candidate` means eligible for bounded full-text verification, not approved for import.
+
+| Provisional key | Recorded identity | Origin | Proposed R5 location / paragraph job | Exact external proposition to verify | Proposed sentence role | Status / source state | Duplicate mapping | Caveat |
+|---|---|---|---|---|---|---|---|---|
+| `Leonhardt2006OpticalMapping` | U. Leonhardt, “Optical conformal mapping,” *Science* 312, 1777–1780 (2006) | Confirmation `leonhardt2006optical`; Ch.1 passive-cloak context | S1-P1, transformation genealogy | Conformal-coordinate mapping furnished an independent 2006 route to optical cloaking | Pair with current Pendry record to avoid a single-paper origin story | Candidate; local-bibliography/context mapped, full text unverified | Net-new; related, not duplicate, to `PendryEtAl2006Controlling` | Linear optics only; do not transfer feasibility to viscous flow |
+| `Miller2006PerfectActiveCloaking` | D. A. B. Miller, “On perfect cloaking,” *Optics Express* 14, 12457–12466 (2006) | Confirmation `miller2006perfect`; Ch.1 active-cloak context | S1-P1, active construction branch | Active cloaking can be formulated with sensing and distributed sources rather than a passive transformation shell | Introduce the sensor–controller–source architecture | Candidate; local-bibliography/context mapped, full text unverified | Net-new | “Perfect” is the paper title/theoretical objective, not an attained project property |
+| `VasquezEtAl2009ActiveExterior` | F. Guevara Vasquez, G. W. Milton & D. Onofrei, “Active exterior cloaking for the 2D Laplace and Helmholtz equations,” *Physical Review Letters* 103, 073901 (2009) | Confirmation `vasquez2009active`; Ch.1 | S1-P1, active exterior-cloak example | Exterior active devices can create a protected region and control scattering for specified linear PDEs | Concrete active-field precedent after Miller | Candidate; local-bibliography/context mapped, full text unverified | Net-new | Restricted 2-D linear equations; no finite-Re inference |
+| `LinEtAl2021ActiveAcousticIllusions` | C. Lin, D. Liu, D. Eggler & N. Kessissoglou, “Active acoustic cloaking and illusions of sound-hard bodies using the boundary element method,” *JASA* 149, 1803–1812 (2021) | Confirmation `lin2021active`; Ch.1 | S1-P1, non-zero illusion definition | An active acoustic architecture can retarget the exterior field toward a different non-zero scattering signature | Sharpen cloak-versus-illusion distinction | Candidate; local-bibliography/context mapped, full text unverified | Net-new | Acoustic/BEM setting; no hydrodynamic Illusion efficacy or SR implication |
+| `ChenEtAl2024MultilayerHydrodynamicCloak` | M. Chen, X. Shen & L. Xu, “A multilayered homogeneous hydrodynamic cloak realized in a free fluid flow,” *Applied Physics Letters* 125(17) (2024) | Confirmation `chen2024multilayered`; Ch.1 | S1-P1, passive-hydrodynamic boundary | Multilayer passive hydrodynamic cloaking has been demonstrated in a restricted low-inertia/free-flow regime | Establish a fluid precedent before the separated finite-Re gap | Candidate; local-bibliography/context mapped, full text unverified | Net-new | Verify exact regime and wording; do not claim absence of separation from bibliography alone |
+| `RenEtAl2021HydrodynamicStealthDRL` | F. Ren, C. Wang & H. Tang, “Bluff body uses deep-reinforcement-learning trained active flow control to achieve hydrodynamic stealth,” *Physics of Fluids* 33(9) (2021) | Confirmation `ren2021bluff`; Ch.1 | S1-P1/P3, finite-Re active precedent | DRL-controlled active flow manipulation has previously been framed as hydrodynamic stealth for a bluff body | Narrow the claimed research gap and motivate model-free control | Candidate; local-bibliography/context mapped, full text unverified | Net-new | No priority wording; do not import thesis-era percentages or equate its metric with the present target-field measure |
+| `DengEtAl2021PinballForceModel` | N. Deng, B. R. Noack, M. Morzyński & L. R. Pastur, “Galerkin force model for transient and post-transient dynamics of the fluidic pinball,” *JFM* 918, A4 (2021) | Confirmation `deng2021galerkin`; Ch.2 | S1-P2 and S2 actuation/force context | Fluidic-pinball force dynamics admit a reduced modelling treatment across transient and post-transient behaviour | Support force as a meaningful intermediary, distinct from full-field matching | Candidate; local-bibliography/context mapped, full text unverified | Net-new; distinct from `DengEtAl2020PinballBifurcations` | No transfer of model coefficients, bifurcation thresholds or configuration labels |
+| `FengEtAl2023PinballForceControl` | H. Feng, Y. Wang, H. Xiang, Z. Jin & D. Fan, “How to control hydrodynamic force on fluidic pinball via deep reinforcement learning,” *Physics of Fluids* 35(4) (2023) | Confirmation `feng2023control`; Ch.2 | S1-P2 and S2 target/force role block | DRL has been applied to fluidic-pinball hydrodynamic-force control and tracking objectives | Contrast integrated-force objectives with the present independent field test | Candidate; local-bibliography/context mapped, full text unverified | Net-new | Do not infer identical geometry, action decoding, observations or field performance |
+| `BeemTriantafyllou2015WakeSensing` | H. R. Beem & M. S. Triantafyllou, “Wake-induced ‘slaloming’ response explains exquisite sensitivity of seal whisker-like sensors,” *JFM* 783, 306–322 (2015) | Confirmation `beem2015wake`; Ch.2 | S1-P3 and S2 observation block | Wake-carried velocity/vortical information can be detected by sparse biological-inspired appendage sensing | Motivate downstream wake information as an observer quantity | Candidate; local-bibliography/context mapped, full text unverified | Net-new | Analogy only; no claim that three probes reproduce seal sensing or are optimal |
+| `SakoeChiba1978DynamicProgramming` | H. Sakoe & S. Chiba, “Dynamic programming algorithm optimization for spoken word recognition,” *IEEE TASSP* 26, 43–49 (1978), DOI 10.1109/TASSP.1978.1163055 | Confirmation `sakoe1978dynamic`; Ch.3 | S2 DTW block | DTW computes a monotone dynamic-programming alignment under specified path constraints | Supply method genealogy for the recurrence/path description | Candidate; local-bibliography/context mapped, full text unverified | Net-new | Speech origin only; does not authorize current normalization or physical interpretation |
+| `Muller2015FundamentalsMusicProcessing` | M. Müller, *Fundamentals of Music Processing: Audio, Analysis, Algorithms, Applications*, vol. 5, Springer (2015) | Confirmation `muller2015fundamentals`; Ch.3 | S2 DTW block | Standard DTW exposition defines local costs, accumulated cost and admissible warping paths | Reader-facing algorithm reference paired with original source | Candidate; local-bibliography/context mapped, full text unverified | Net-new | Book metadata need verification; no claim that unconstrained DTW is appropriate here |
+| `FengWang2010SyntheticJetCylinder` | L. H. Feng & J. J. Wang, “Circular cylinder vortex-synchronization control with a synthetic jet positioned at the rear stagnation point,” *JFM* 662, 232–259 (2010) | Confirmation `feng2010circular`; Ch.1 AFC context | S1-P2, conventional AFC comparator | Conventional AFC can use localized actuation to alter vortex shedding/synchronization around a bluff body | One concrete comparator before distinguishing observer-centred wake matching | Candidate; local-bibliography/context mapped, full text unverified | Net-new | Single example, not an AFC review; do not claim conventional AFC never evaluates fields |
+| `LiEtAl2017GeneticProgrammingControl` | R. Li, B. R. Noack, L. Cordier, J. Borée & F. Harambat, “Drag reduction of a car model by linear genetic programming control,” *Experiments in Fluids* 58, 103 (2017) | Legacy `Li2017`; active FLMguide S1 interpretability paragraph | S1-P4 and S5 opening | Genetic-programming control searches directly over explicit feedback expressions and evaluates them in a flow-control setting | Precedent for readable feedback maps, contrasted with post-hoc PPO distillation | Candidate; local-bibliography/context mapped, full text unverified | Net-new | Different plant/objective/search loop; no validation of the present SR map |
+| `BruntonEtAl2016SINDy` | S. L. Brunton, J. L. Proctor & J. N. Kutz, “Discovering governing equations from data by sparse identification of nonlinear dynamical systems,” *PNAS* 113, 3932–3937 (2016), DOI 10.1073/pnas.1517384113 | Legacy `Brunton2016`; active FLMguide S1 | S1-P4 and S5 opening | SINDy identifies parsimonious dynamical equations from a prescribed function library | Distinguish dynamical-system identification from policy-map regression | Candidate; local-bibliography/context mapped, full text unverified | Net-new | Do not describe the present symbolic controller as a discovered governing equation |
+| `Cranmer2023PySR` | M. Cranmer, “Interpretable machine learning for science with PySR and SymbolicRegression.jl,” arXiv:2305.01582 (2023) | Legacy `Cranmer2023`; active FLMguide methods | S1-P4 and S5 model-selection block | PySR performs symbolic-regression search over expression structure and coefficient optimization, yielding loss–complexity candidates | Software/method identity for the post-hoc regression stage | Candidate; local-bibliography/context mapped, full text unverified | Net-new | Verify version and preferred archival citation; software identity does not establish scientific validity |
+
+## 4. Optional local wave — 4 net-new identities
+
+These records require a sharper paragraph need or may be superseded by an Undermind full-text source. Their source state is also **`local-bibliography/context mapped, full text unverified`**.
+
+| Provisional key | Recorded identity | Origin | Proposed R5 location / paragraph job | Exact external proposition to verify | Proposed sentence role | Status / source state | Duplicate mapping | Caveat |
+|---|---|---|---|---|---|---|---|---|
+| `MonticoneAlu2013CloakScatteringBounds` | F. Monticone & A. Alù, “Do cloaked objects really scatter less?” *Physical Review X* 3, 041005 (2013) | Confirmation `monticone2013cloaked`; Ch.1 | Optional S1-P1 | Passive linear cloaks face broadband/integrated-scattering trade-offs | Explain why active architectures are attractive without overloading the genealogy | Optional candidate; local-bibliography/context mapped, full text unverified | Net-new | Exact theorem assumptions must be read; no direct Navier–Stokes implication |
+| `ZouEtAl2019WaterWaveCloak` | S. Zou et al., “Broadband waveguide cloak for water waves,” *Physical Review Letters* 123, 074501 (2019) | Confirmation `zou2019broadband`; Ch.1 | Optional S1-P1 | Water-wave cloaking can be realized through a waveguide/bathymetric construction in a linear-wave regime | Add a fluid-wave bridge if needed | Optional candidate; local-bibliography/context mapped, full text unverified | Net-new | Surface-wave manipulation is not bulk separated-flow cloaking |
+| `BruntonEtAl2020MachineLearningFluids` | S. L. Brunton, B. R. Noack & P. Koumoutsakos, “Machine learning for fluid mechanics,” *Annual Review of Fluid Mechanics* 52, 477–508 (2020) | Confirmation `brunton2020machine`; Ch.3 | Optional S1-P3 or S6 caveat | ML in fluid mechanics spans control, modelling and reduced representations, with method choice tied to the physical task | Broad review anchor, used only if a synthesis sentence needs one | Optional candidate; local-bibliography/context mapped, full text unverified | Net-new | Broad review cannot support a detailed PPO, CCD or mechanism claim |
+| `LoiseauBrunton2018ConstrainedGalerkin` | J.-C. Loiseau & S. L. Brunton, “Constrained sparse Galerkin regression,” *JFM* 838, 42–67 (2018), DOI 10.1017/jfm.2017.823 | Legacy `Loiseau2018Galerkin`; active FLMguide S1 | Optional S5 reflection/model-selection block | Structural constraints can be imposed in sparse Galerkin regression to improve physically admissible reduced dynamics | Context for why structural constraints are scientifically meaningful | Optional candidate; local-bibliography/context mapped, full text unverified | Net-new; **distinct** from `LoiseauEtAl2018SparseROM` (JFM 844, DOI 10.1017/jfm.2018.147) | Different task and object; it does not justify the present reflection map or closed-loop result |
+
+## 5. Exact duplicate map and identity collisions
+
+| Local key | Identity disposition | Current R5 mapping / action |
+|---|---|---|
+| `pendry2006controlling` | Exact duplicate | Map to `PendryEtAl2006Controlling`; no new count |
+| `rabault2019artificial` | Exact duplicate | Map to `RabaultEtAl2019DRLFlowControl`; no new count |
+| `Gautier2015` | Exact duplicate | Map to `GautierEtAl2015ClosedLoop`; no new count |
+| `Deng2020` | Exact duplicate | Map to `DengEtAl2020PinballBifurcations`; no new count |
+| `CornejoMaceda2021` | Exact duplicate | Map to `CornejoMacedaEtAl2021PinballControl`; no new count |
+| `Boree2003` | Exact duplicate | Map to `Boree2003ExtendedPOD`; no new count |
+| `Urzhumov2012` | **Identity collision, not duplicate**: legacy key stores Urzhumov & Smith (2011), “Fluid flow control with transformation media,” PRL 107, 074501 | Do not map to `UrzhumovSmith2012ActiveCloaks`; prohibit old key; 2011 identity remains outside this wave |
+| `Loiseau2018Galerkin` | **Distinct identity**: Loiseau & Brunton (2018), JFM 838, DOI 10.1017/jfm.2017.823 | Optional net-new candidate; do not merge with `LoiseauEtAl2018SparseROM`, JFM 844, DOI 10.1017/jfm.2018.147 |
+
+## 6. Union arithmetic and projected article effect
+
+- Current R5 unique references: 16.
+- High-confidence Confirmation net-new: 12 (`Leonhardt`, `Miller`, `Vasquez`, `Lin`, `Chen`, `Ren`, `Deng 2021`, `Feng 2023`, `Beem`, `Sakoe`, `Müller`, and `Feng & Wang 2010`).
+- High-confidence legacy net-new: 3 (`Li 2017`, `Brunton 2016`, `Cranmer 2023`).
+- High-confidence union: **15 net-new**, projected **31 total unique references**.
+- Optional Confirmation net-new: 3 (`Monticone`, `Zou`, `Brunton 2020`).
+- Optional legacy net-new: 1 (`Loiseau & Brunton 2018`).
+- Full local ceiling: **19 net-new**, projected **35 total unique references**.
+- Duplicate identities add zero. The 2011 Urzhumov collision is neither merged nor counted as a candidate.
+- Projected word uplift: **+535–815**, taking the current uniform body count from **6,303 to 6,838–7,118**. This projection excludes citation commands and assumes the current counting method; it must be recomputed after any authorized prose insertion.
+
+## 7. Undermind gap-search topics — separate from local admission
+
+No Undermind search was run in this local-source audit. The next literature wave should search the existing DynamisLab workspace/library first, then use bounded full-PDF reads for these gaps:
+
+1. A modern, authoritative AFC review that distinguishes integrated-force, separation/shedding and distributed wake/field objectives without claiming that all conventional AFC is local or scalar.
+2. Finite-Re active hydrodynamic cloaking/stealth studies after Urzhumov and Ren, with exact observer metric, configuration and claim ceiling.
+3. Active illusion/target-signature control in nonlinear fluid wakes, specifically to determine whether any prior work supports only conceptual framing; priority language remains prohibited.
+4. Closed-loop symbolic policy distillation for delayed PDE/flow systems, focusing on state-distribution shift and deployment-based validation rather than offline action fit.
+5. Reflection/equivariance constraints in learned or symbolic flow controllers, clearly separated from plant symmetry and from the present imposed surrogate map.
+6. Action-conditioned/correlation-oriented flow decompositions and their noncausal interpretation, without importing OID claims or treating CCD as validation.
+7. DTW use in fluid/wake comparison with explicit multichannel normalization and path constraints; the search cannot retroactively verify this project's metric implementation.
+8. Sparse wake sensing and observer placement precedents that avoid an optimality claim for the present three-probe layout.
+
+Search results remain external-proposition candidates only. They cannot verify internal values, configuration bindings, target roles, artifact provenance or claim readiness.
+
+## 8. Hard quarantine
+
+The expansion pass must not introduce or imply:
+
+- positive Illusion symbolic regression, a reusable Illusion law, or revival of historical negative Illusion SR;
+- transfer of the Kármán SR law to Vortex, Erase, Illusion, other Reynolds numbers or other configurations;
+- any OID result or OID-based claim;
+- CCD causality, mechanistic proof, superiority to POD, independent confirmation, validation or triangulation;
+- inherited old Reynolds-number conversions, legacy/current plant continuity or pooled configuration chains;
+- old thesis/report numbers, percentages, thresholds, sensor coordinates, training settings or experiment facts as current R5 evidence;
+- experimental validation, CFD/experiment agreement, PIV, hardware readiness or any S9 scientific content;
+- first, novel, unprecedented, robust, optimal, universal or other priority wording.
+
+Literature never verifies DynamisLab results, numbers, acquisitions, artifacts, mechanisms, readiness or priority.
+
+## 9. Acceptance checks and closeout
+
+- **Files read:** both local bibliographies; Confirmation Chapters 1–5; legacy `FLMguide.tex`; current `R5_REFERENCES.bib`; current S1–S8 and S10; citation ledger; live length/share ledger; final audit.
+- **Files changed:** only `../00_CITATION_CANDIDATE_LEDGER.md` and this audit. No section TeX or bibliography was edited.
+- **State preservation:** current 16/16 citation integration and final-audit `CONDITIONAL PASS` remain the active disposition. Expansion records are provisional.
+- **Tools/evidence:** Nowledge was searched with three narrow R5/citation/collision queries and used for navigation only; repository files controlled the audit. Working Memory, thread recall and `mem_fs` were not used. Undermind and SciVerse were not used because this unit maps local sources and explicitly separates later gap searches. No PDF was read, so every new identity remains `local-bibliography/context mapped, full text unverified`.
+- **Computation:** only set/count/range arithmetic and file consistency checks are authorized here; no CFD, training, evaluator, rendering, artifact generation or new scientific analysis was performed.
+
+
+## Local-wave full-text evidence gate — 2026-08-11
+
+This table supersedes every earlier `local-bibliography/context mapped, full text unverified` state for the 15 cited local-wave records. It records the exact current S1/S2/S5 proposition, identity check, readable passage and insertion disposition; it does not edit TeX or bibliography.
+
+| R5 key | Verified identity / DOI or link | PDF/read state | Current proposition and passage | Disposition |
+|---|---|---|---|---|
+| `Leonhardt2006OpticalMapping` | U. Leonhardt, “Optical conformal mapping,” *Science* 312, 1777--1780 (2006), DOI `10.1126/science.1126493` | `full-PDF` | Conformal mapping supplies an effectively two-dimensional optical-invisibility construction; p.1778 (PDF p.2), mapping to empty space. | **KEEP**; current transformation-optics genealogy is bounded and supported. |
+| `Miller2006PerfectActiveCloaking` | D. A. B. Miller, “On perfect cloaking,” *Optics Express* 14, 12457--12466 (2006), DOI `10.1364/OE.14.012457` | `mapped/inaccessible`; exact PDF retrieval failed | Metadata/abstract says sensors and active sources near the region, but no page passage was readable. | **REMOVE** from the current citation cluster unless full text is supplied; Vasquez supports the retained source-based linear-PDE example. |
+| `VasquezEtAl2009ActiveExterior` | F. Guevara Vasquez, G. W. Milton & D. Onofrei, “Active exterior cloaking for the 2D Laplace and Helmholtz equations,” *PRL* 103, 073901 (2009), DOI `10.1103/PhysRevLett.103.073901` | `full-PDF` | One exterior device is proved for 2-D quasistatics and three are demonstrated numerically for 2-D Helmholtz; abstract p.1, equations/limits pp.1--3. | **KEEP**; current “specified linear equations” wording is safe. |
+| `LinEtAl2021ActiveAcousticIllusions` | C. Lin et al., “Active acoustic cloaking and illusions of sound-hard bodies using the boundary element method,” *JASA* 149, 1803--1812 (2021), DOI `10.1121/10.0003556` | `full-PDF` | Active MIMO acoustic control reproduces a target scattered field to misrepresent object size/orientation; §III.B pp.1805--1806 and §IV pp.1810--1811. | **KEEP**; retain acoustic/non-zero-signature scope. |
+| `ChenEtAl2024MultilayerHydrodynamicCloak` | M. Chen, X. Shen & L. Xu, “A multilayered homogeneous hydrodynamic cloak realized in a free fluid flow,” *APL* 125, 171701 (2024), DOI `10.1063/5.0230069` | `full-PDF` | Ten-layer nonporous free-fluid cloak tested numerically and experimentally at `Re≈0.08`; pp.2--4, with `Re≪1` limit on p.5. | **KEEP**; “restricted low-inertia or free-flow regimes” is supported. |
+| `RenEtAl2021HydrodynamicStealthDRL` | F. Ren, C. Wang & H. Tang, “Bluff body uses deep-reinforcement-learning trained active flow control to achieve hydrodynamic stealth,” *Phys. Fluids* 33, 093602 (2021), DOI `10.1063/5.0060690` | `full-PDF` | DRL controls WSLB actuation using 33 velocity sensors on a line 2D downstream; the sensor-line uniform-flow discrepancy defines the objective; §§I--II, pp.1--5. | **KEEP**; current text correctly refuses equivalence with full-field target comparison. |
+| `DengEtAl2021PinballForceModel` | N. Deng et al., “Galerkin force model for transient and post-transient dynamics of the fluidic pinball,” *JFM* 918, A4 (2021), DOI `10.1017/jfm.2021.299` | `full-PDF` | Force is a constant-linear-quadratic function of Galerkin amplitudes and is applied across transient/post-transient regimes; abstract p.1, eq.2.18 p.6, conclusion p.25. | **KEEP**; “informative reduced object, not field substitute” is a safe manuscript distinction. |
+| `FengEtAl2023PinballForceControl` | H. Feng et al., “How to control hydrodynamic force on fluidic pinball via deep reinforcement learning,” *Phys. Fluids* 35 (2023), DOI `10.1063/5.0142949` | `full-PDF` | DRL controls force extrema and drag tracking using cylinder rotation and force-history state; abstract p.1, §III p.5, §IV.A pp.9--10, conclusion p.13. | **KEEP**; paper explicitly leaves wake/velocity information to future work. |
+| `BeemTriantafyllou2015WakeSensing` | H. Beem & M. S. Triantafyllou, “Wake-induced ‘slaloming’ response explains exquisite sensitivity of seal whisker-like sensors,” *JFM* 783, 306--322 (2015), DOI `10.1017/jfm.2015.513` | `mapped/inaccessible`; exact JFM PDF retrieval failed | No page passage available. Workspace `Bee15b` is an accessible arXiv precursor with a different title, not the exact cited record. | **REMOVE** both current uses unless the exact full text is supplied and read; delete/soften the biological analogy. |
+| `SakoeChiba1978DynamicProgramming` | H. Sakoe & S. Chiba, “Dynamic programming algorithm optimization for spoken word recognition,” *IEEE TASSP* 26, 43--49 (1978), DOI `10.1109/TASSP.1978.1163055` | `full-PDF` | DP minimizes time-normalized distance; monotonicity, continuity, boundary and slope constraints define admissible warping; §§I--II.B, pp.43--44. | **KEEP**; current generic origin/path statement is supported. |
+| `Muller2015FundamentalsMusicProcessing` | M. Müller, *Fundamentals of Music Processing*, Springer (2015), DOI `10.1007/978-3-319-21945-5` | PDF listed available, but two bounded `read_pdfs` attempts timed out; `mapped/unread` | No chapter/page passage returned for local cost, accumulated cost or path constraints. | **REMOVE** pending readable chapter evidence; reword the sentence to rely only on Sakoe--Chiba’s verified path/constraint definitions. |
+| `FengWang2010SyntheticJetCylinder` | L. H. Feng & J. J. Wang, “Circular cylinder vortex-synchronization control with a synthetic jet positioned at the rear stagnation point,” *JFM* 662, 232--259 (2010), DOI `10.1017/S0022112010003174` | `mapped/inaccessible`; exact PDF retrieval failed | No page passage available. Workspace `Fen10` is a different three-author *Journal of Fluids and Structures* paper and cannot verify this citation. | **REMOVE** this key and the localized-AFC clause unless exact full text is supplied. |
+| `LiEtAl2017GeneticProgrammingControl` | R. Li et al., “Drag reduction of a car model by linear genetic programming control,” *Exp. Fluids* 58, 103 (2017), DOI `10.1007/s00348-017-2382-2` | `full-PDF` | Symbolic GP uses the experiment to evolve explicit feedback laws; inner-loop plant evaluation and outer-loop learning are stated in §1 p.3 and §3.3 p.9. | **KEEP**; direct-controller-search versus post-hoc regression is exact. |
+| `BruntonEtAl2016SINDy` | S. L. Brunton, J. L. Proctor & J. N. Kutz, “Discovering governing equations from data by sparse identification of nonlinear dynamical systems,” *PNAS* 113, 3932--3937 (2016), DOI `10.1073/pnas.1517384113` | `full-PDF` | Sparse regression selects active terms from a candidate nonlinear-function library to form parsimonious dynamical equations; abstract/significance p.1 and method p.2. | **KEEP**; current text correctly distinguishes dynamics identification from policy mapping. |
+| `Cranmer2023PySR` | M. Cranmer, “Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl,” arXiv:2305.01582 (2023), DOI `10.48550/arXiv.2305.01582` | `full-PDF` | PySR uses a multi-population evolve--simplify--optimize loop and explicitly optimizes constants; pp.1, 5--6. | **KEEP**; method/software role is supported and does not validate the present law. |
+
+**Gate result:** 11 **KEEP**, 0 **REWORD-only**, 4 **REMOVE pending readable full text** (`Miller2006PerfectActiveCloaking`, `BeemTriantafyllou2015WakeSensing`, `Muller2015FundamentalsMusicProcessing`, `FengWang2010SyntheticJetCylinder`). The four failures are evidence gates, not identity uncertainty: all identities/DOIs were resolved, but exact full-text passages were unavailable. Detailed audit: `CITATION_EXPANSION_LOCAL_FULLTEXT_VERIFICATION.md`.
@@ -0,0 +1,33 @@
+# Citation Expansion Undermind Gap Audit
+
+**Project / unit:** DynamisLab JFM post-R5 / existing-workspace gap curation.  
+**Owned outputs:** this audit and `../00_CITATION_CANDIDATE_LEDGER.md`.  
+**Excluded:** section TeX, `R5_REFERENCES.bib`, final disposition, new search/deep search, and internal verification.
+
+## Routing and evidence
+
+Completed mandatory routing: `get_orientation`; `list_workspaces` (confirmed DynamisLab id `4383d145-2c80-4991-8a9c-7ac2dd683438`); root and targeted `inspect_folders`, `inspect_files`, `inspect_deep_searches`; folders `/JFM References/01`--`/07`; note `/Wake-field L2 evaluation and downstream sensor rationale`; and six named completed searches. No `search_papers` or `launch_deep_search` was needed. Local citation controls, current S1--S8/S10, bibliography and final audit were read.
+
+Every selected paper was checked with `get_paper_info(show_doi=true)` and had a PDF. One bounded `read_pdfs` batch asked a separate self-contained question per paper for only its proposed proposition and page/section. The ledger table is the controlling row-level identity, DOI, proposition, passage, topic and state record. All 18 selected rows are **`full-PDF`**. Existing search reports and the sensor note were used only as **`full-report/mapped`** routing evidence. `Mau01` and `Bon94` remained **`mapped/inaccessible`** and support no wording; no snippet evidence was used.
+
+## Section-role determination
+
+- **S1 (2):** `Fan20b` and `Li21` add bounded experimental/numerical and physics-informed sparse-sensing RL lineage without efficacy, mechanism or priority claims.
+- **S2 (5):** `Mar24b`, `Jin21`, `Gon19`, `Nai20b`, `Wan23b` cover complementary actuation/wake coordinates, estimation-vs-feedback placement, periodic sparse phase information, force observables and temporal feature lifting. None proves present sensor optimality or observability.
+- **S5 (4):** `Deb15`, `Cas22`, `Ren19`, `Zol25` distinguish direct closed-loop symbolic-law search and jointly learned model-based sparse RL from post-hoc regression of a fixed PPO policy. None validates the present law or makes it a governing equation.
+- **S6 (3):** `Tad10`, `Jor07`, `Dis18` supply mean-field and correlation/observable-ranked ancestry only. OID is not imported; wording remains descriptive/noncausal.
+- **S8 (4):** `Mit01`, `Cha11b`, `Sie20`, `Wat96` sharpen Re/gap/rotation/dimensionality/branch and viscous-matching boundaries. They do not explain the project endpoint or repair the rejected circulation closure.
+
+## Duplicates, rejections and arithmetic
+
+Exact current-R5 duplicates are `Rai20`, `Mac20`, `Loi17`, `Bor03`, `Sch12`, `Par20`, `Rab18b`, `Ued03`; local-wave identity collisions are `Li16` and `Loi16`. `Bru16` was redundant with local SINDy plus sharper `Zol25`; `Ish17` lacked a retained sentence job; `Mau01`/`Bon94` were inaccessible and superseded by full-PDF lineage; extra inviscid multiple-cylinder papers were redundant with current Crowdy.
+
+The evidence-backed union is 16 current + 15 frozen local + 18 verified Undermind = **49**. Recommend **46--49** after sentence-level pruning. Estimated Undermind uplift is **+435--655 words**; combined post-R5 uplift **+970--1,470**, yielding approximately **7,273--7,773** words before uniform recount. These are planning ranges, not quotas.
+
+## Quarantine and disposition
+
+No OID, PCD causality, CCD causality/validation/superiority/triangulation, positive Illusion SR, cross-case SR transfer, old configuration chain, project-number/artifact verification, experiment validation or priority wording is permitted. Literature supports external propositions only. No TeX, bibliography or final audit was edited; current 16/16 integration and `CONDITIONAL PASS` remain active.
+
+## Tool closeout
+
+Nowledge: three narrow `memory_search` calls, navigation only; no Working Memory, thread recall or `mem_fs`. Undermind: `get_orientation`, `list_workspaces`, `inspect_folders`, `inspect_files`, `inspect_deep_searches`, `get_paper_info`, `read_pdfs`; no workspace mutation. No CFD, training, evaluator, rendering, artifact generation or dependency change.
@@ -0,0 +1,39 @@
+# Global Pass 3 — Post-citation-integration uniform length and display audit
+
+**Project / round / unit:** DynamisLab JFM / post-R5 citation integration / decisive global recount.  
+**Date:** 2026-08-11.  
+**Disposition:** **PASS as a static length/display diagnostic.** This pass grants no science, source-state, artifact or runtime-compile approval.
+
+## Uniform method and supersession
+
+The audit reran exactly the established Python 3 source-text method over all ten `sections/*.tex` files: remove unescaped comments and headings; remove complete display-math bodies, inline-math spans and citation commands; remove remaining TeX commands/braces; then count lexical alphanumeric tokens with internal hyphens or apostrophes. S9 `AUTHOR FIELD` instructions are classified separately as control tokens. This is a reproducible source count, not a typeset word-equivalent.
+
+This refresh supersedes the former 6,303-word pre-expansion snapshot. Current arithmetic is mirrored authoritatively in `../00_LIVE_LENGTH_SHARE_LEDGER.md`.
+
+## Final current recount
+
+| Section | Uniform substantive words | Share |
+|---|---:|---:|
+| S1 | 1,123 | 15.11% |
+| S2 | 1,612 | 21.68% |
+| S3 | 578 | 7.78% |
+| S4 | 793 | 10.67% |
+| S5 | 958 | 12.89% |
+| S6 | 745 | 10.02% |
+| S7 | 499 | 6.71% |
+| S8 | 591 | 7.95% |
+| S9 | 0 substantive; 272 control | excluded |
+| S10 | 535 | 7.20% |
+| **Total** | **7,434** | **100%** |
+
+S4–S6 contain **2,496 words / 33.58%**. The provisional 42%/44% diagnostics correspond to 3,122/3,271 words, gaps of 626/775. This does not authorize padding. Their five displayed equations, fourteen nonblank displayed rows and 82 inline-math spans make prose share an incomplete proxy for typeset emphasis.
+
+## Current burden and branch
+
+Current section source contains **12 displayed equation environments, 31 nonblank displayed rows, 143 inline-math spans, 44 citation commands and 64 cited-key occurrences (49 unique active keys)**. There are no figure or table environments. Citation mapping is 49/49 against the 49-entry bibliography, with zero undefined keys, uncited entries, duplicate keys or duplicate normalized DOIs.
+
+The active omission branch has 7,434 substantive words and excludes 272 S9 control tokens. Author admission of 150–300 substantive S9 words would yield 7,584–7,734 words and an unchanged-centre share of 32.91–32.27%.
+
+## Closeout
+
+All ten current section paths were counted; totals reconcile to 7,434 and S4–S6 to 2,496. All 33 post-R5 keys are cited; none is a prune candidate merely for being uncited. No section prose, bibliography, literature research, scientific computation, evaluator, CFD, training, rendering or artifact generation was used. Repository source state is `read/static-counted`, not independently artifact-verified.
@@ -0,0 +1,127 @@
+# Round-5 global optimization audit — Pass 1: structure and logic
+
+**Date:** 2026-08-11  
+**Scope:** current S1–S10 TeX, all ten section audits, both existing wave audits, R5 registry/ledgers/packets/rules, and current R4 section/global controls.  
+**Deliverable:** findings and coordinator-approved deltas for the original persistent writers.  
+**Exclusions:** no section-TeX edit; no literature search/read; no new scientific analysis, evaluator, CFD, training, rendering, artifact generation, bibliography construction or final-master assembly.
+
+## Determination
+
+**Disposition: CONDITIONAL PASS — structure/logic.** The frozen order, 65 paragraph jobs, three-level claim ladder, section ownership, preview/detail splits and scientific bridges are present. The article has no structural-science blocker outside the already declared Section-9 branch. Pass 1 does **not** close evidence, citation, title, equation-source, display, provenance, author-field or production gates, and it does not grant any section a final pass.
+
+The manuscript-wide logic is intact:
+
+`declared-reference gap → configurations/controller/evaluation → asymmetric capability progression → tested Kármán performance → executable action reduction → distinct mean/residual field organization → changed-contract non-transfer → separate steady context and failed closure → author-owned experiment branch → bounded synthesis`.
+
+## R4 jobs, ladder and ownership
+
+- **Jobs:** all **65/65** inventory jobs have either reader-facing prose or the authorized S9 placeholder. S1 5; S2 5 frozen jobs represented by 11 prose paragraphs; S3 6; S4 7; S5 5; S6 6; S7 5; S8 5; S9 3 author fields; S10 5. No missing or extra scientific job was found.
+- **Ladder:** S1 defines the three levels; S3 previews breadth and selects Kármán for depth; S4 establishes the sole independent field-level result; S5–S6 support only the bounded Kármán/cloak interpretation; S7–S8 deny transfer; S10 closes in the same order. No section raises the ladder.
+- **Ownership:** S2 owns reusable definitions; S3 owns previews; S4 owns exact PPO performance; S5 owns SR law/deletion; S6 owns corrected four-role means/residual/CCD; S7 owns changed-task detail; S8 owns steady/theory; S9 owns author experiment supply; S10 synthesizes without new evidence. Equation ownership also passes: S2 reusable definitions, S5 reflection/law, S6 scalar/residual, S8 outer-reference/incompatibility, none in S1/S3/S4/S7/S9/S10.
+- **Near-collisions:** S4 PPO, S5 standardized SR and S6 corrected four-role errors remain explicitly different acquisitions/estimands. SR terms are not identified with CCD coordinates. Steady rotation is contextual, not amplitude agreement. No pooling, replication, agreement, validation or triangulation appears.
+
+## Bridges and deduplication
+
+| Interface | Finding | Status / owner delta |
+|---|---|---|
+| S1→S2 | Contribution ladder hands directly to configuration, role, Reynolds and evaluation definitions. | PASS. |
+| S2→S3 | Existing wave record passes definitions-to-viewing handoff and preview/detail ownership. | PASS; no delta. |
+| S3→S4 | S3 retains rounded `approximately 82%`; S4 owns exact values, region, phase construction, DTW and actions. | PASS. |
+| S4→S5 | Independent field result becomes the executable-policy-compression question without importing SR. | PASS. |
+| S5→S6 | Tested persistent/smaller action organization motivates, but does not predict, the distinct field estimands. | PASS; existing conditional S4–S6 record controls open source/artifact gates. |
+| S6→S7 | Exact Kármán interpretation closes with a case-local non-transfer boundary before changed contracts. | PASS. |
+| S7→S8 | Separate steady endpoint is posed as context only, with no continuation, validation or common arithmetic. | PASS. |
+| S8→S9 | Provenance-conditional, evidence-neutral morphology question; experiment cannot repair quantitative/mechanistic gates. | PASS. |
+| S9→S10 | No experimental result is exported. S10 currently proceeds from retained S1–S8 only. | PASS under placeholder/omit branch; author decision required below. |
+| S10 close | Restates the ladder without values, equations, citations, display calls, Erase result or unfinished-route inventory. | PASS after the narrow S1 terminology correction below. |
+
+Deduplication is controlled. Repeated configuration and role names are local decoding, not repeated methods. The Kármán `approximately 82%` appears once as S3 preview and exact values once in S4. The persistent-plus-smaller-correction organization appears in S1 as the ladder, in S5/S6 at owner depth, in S8 as explicitly non-equivalent context and in S10 as the one required synthesis; this is functional recurrence rather than duplicate evidence. No deletion is approved in Pass 1.
+
+## Exact S1 named-task correction
+
+**Finding:** S1-P05 currently says `Vortex, Illusion, Erase and steady material do not inherit that interpretation`, while S1-P05's declared level 1 is `learned wake-signature capability across named tasks`. Current retained S7/S10 status is narrower: Vortex and Erase role fields are morphology/execution material without a common efficacy result; the positive named non-zero-target capability is Illusion PPO. The sentence can invite the unsupported reading that all named items belong equally to level 1.
+
+**Approved Unit-A delta (exact replacement; no other S1 edit):**
+
+Replace:
+
+> `Kármán cloaking receives depth because it alone retains the aligned policy, target, controlled, physical-zero, action and field evidence needed for all three levels; Vortex, Illusion, Erase and steady material do not inherit that interpretation.`
+
+with:
+
+> `Kármán cloaking receives depth because it alone retains the aligned policy, target, controlled, physical-zero, action and field evidence needed for all three levels; the event-relative Vortex acquisition and Erase role fields remain morphology evidence, Illusion retains only its named non-zero-target PPO capability, and none of these materials or the separate steady chain inherits the Kármán interpretation.`
+
+This correction is terminology/status normalization only. It adds no result, value or evidence and leaves the five-paragraph architecture unchanged. Unit A writer `5ddac128-c9c7-4b83-8fb9-aed05023a9b0` owns integration after coordinator approval.
+
+## S7–S9 controlling record and Section-9 branch
+
+This sidecar designates the existing records as the controlling S7–S9 interface chain; no competing wave file is required:
+
+1. `00_AGENT_REGISTRY.md`, Unit-D row: stage `S7–S9-interface-pass` and retained S9 boundary.
+2. `audits/SECTION_07_AUDIT.md`, especially the S7→S8 non-transfer finding.
+3. `audits/SECTION_08_AUDIT.md`, especially the provenance-conditional S8→S9 bridge.
+4. `audits/SECTION_09_AUDIT.md`: author-interface, zero substantive manuscript words, no result export.
+
+**Required author/coordinator branch decision before evidence/data and length/display global passes can close:**
+
+- **Branch A — omit S9 from the assembled manuscript (current safe fallback).** Remove the placeholder from manuscript assembly later; retain its audit as provenance/control. S8 should bridge directly to S10 during final assembly only if a transition is needed. No S9 allowance is redistributed automatically.
+- **Branch B — retain an author-written qualitative S9.** Frank supplies apparatus/execution facts, trial/media provenance, permissions, comparator-led morphology and confounds; then a targeted provenance audit and explicit reopening must pass before prose/media admission. Only after that decision may a bounded S9 observation be considered for S10.
+- **Branch C — retain author fields temporarily in the R5 working bundle.** This is acceptable as workflow state but is **not** a manuscript-content decision and cannot be called a section prose pass.
+
+Until one branch is selected, normalize S9 everywhere to `author-interface / placeholder-control complete / substantive prose and result import blocked`; do not use `section-pass`, `experiment complete`, or count its 275 tokens as body prose.
+
+## Section and interface status normalization
+
+Use the following controlling R5 statuses after Pass 1. These do not alter evidence/artifact gates.
+
+| Unit / section | Normalized status | Required record delta |
+|---|---|---|
+| S1 | `section-audit; Pass-1 correction approved, not integrated` | Unit A applies exact sentence replacement; then mark `global-structure-logic-conditional`. |
+| S2 | `S2–S3-interface-pass; local source/display/bibliography gates open` | No prose delta. Do not call section-pass. |
+| S3–S4 | `section-audit; production gates open` | Registry already matches. S3/S4 audits should not be promoted by S2 interface pass. |
+| S5–S6 | `S4–S6-interface-conditional` | Registry controls. Section audits' `integrated rewrite / conditional wave audit` is consistent. |
+| S7–S8 | `S7–S9-interface-pass; section prose audited` | Their local audit label `section-pass` is narrower than final R5 pass; interpret it as section-prose pass only. Registry remains controlling. |
+| S9 | `author-interface; placeholder-control complete; substantive prose/result blocked` | Author branch required; never manuscript-prose pass. |
+| S10 | `section-audit; global S1/S10 interface conditional` | No prose delta after S1 correction; imported results otherwise pass. |
+| Global | `structure/logic CONDITIONAL PASS` | Evidence/data, length/display, terminology/style/TeX and final audit remain unrun. |
+
+Ledger inconsistencies are bookkeeping defects, not prose defects: S3 is variously 627/637 words; S5–S6 appear as 614/608, 621/625 and a 2,070 S4–S6 total that does not arithmetically match every row. Normalize these only in the later length/display pass using one declared counting script/method; do not use Pass 1 to change prose or infer shares.
+
+## Title and bibliography gates
+
+- **Article title:** the R4 provisional title `Interpreting learned hydrodynamic cloaking and illusion in a fluidic pinball` remains provisional (`discuss`). Pass 1 finds it consistent with the declared-reference ladder and positive PPO Illusion scope, but it is not final. Final title selection belongs to the author and triggers the recorded terminology/claim audit. Do not place it in a submission master yet.
+- **Section titles:** current S1–S10 titles are structurally coherent. S9's `Qualitative open-loop experiment` title is conditional on selecting the retain-S9 branch; if S9 is omitted, no orphan subsection title enters assembly. No title change is approved here.
+- **Bibliography:** current TeX contains no fabricated `\cite` keys, which is correct for the present gate. The citation candidate ledger records identities/DOIs/read states but is not a bibliography. Before final TeX preflight, verify each retained external proposition, exact source state and repository-approved key; then insert citations only through the owning original writer or coordinator-approved bibliography pass. S10 retains no reader-facing citation. Bibliography remains **OPEN manuscript-wide**, especially S1 framing and S2 method context.
+
+## Approved deltas for original writers
+
+1. **Unit A / S1 — approved and required:** apply only the exact named-task correction above; update S1 audit and registry status to show integration. Do not add citations, values, examples or length padding.
+2. **Unit E / S9–S10 — decision-dependent:** after Frank/coordinator selects S9 Branch A or B, resume writer `b238cc11-c57b-481f-922d-ae7c410171c0`. Branch A updates controls/assembly handoff only and leaves S10 prose unchanged unless the coordinator specifically approves a neutral transition. Branch B requires author supply plus targeted provenance audit before any TeX result or S10 import.
+3. **Unit D / S7–S8 — no prose delta:** retain current text. Registry plus S7/S8/S9 audits are the designated S7–S9 control. Update only status wording if the coordinator wants local audits to say `section-prose pass` rather than final `section-pass`.
+4. **Units B/C — no prose delta:** retain current S3–S6 text and all ownership/estimand boundaries. Defer word-count reconciliation to global length/display and source/artifact gates to evidence/data/production owners.
+5. **Global controls — approved bookkeeping delta:** after original-writer integration/branch decision, update the registry, claim ledger, paragraph inventory and live length ledger from this sidecar. Do not mark `00_R5_FINAL_AUDIT.md` as run and do not check the structure/logic box until the S1 correction is integrated and the S9 branch is recorded.
+
+## Gate checklist after Pass 1
+
+- [x] Frozen assembled order and all 65 jobs accounted for.
+- [x] Three-level claim ladder preserved and owned.
+- [x] Preview/detail and equation ownership pass.
+- [x] Scientific bridges S1–S10 pass under the S9 placeholder/omit boundary.
+- [x] No harmful evidence duplication or estimand pooling found.
+- [x] Exact S1 named Kármán/Vortex/Illusion/Erase status correction specified.
+- [x] Existing registry + S7/S8/S9 audits designated as controlling S7–S9 record.
+- [ ] S1 correction integrated by original Unit-A writer.
+- [ ] S9 omit-versus-author-written branch selected and recorded.
+- [ ] Section/interface statuses propagated consistently through registry/ledgers.
+- [ ] Final title selected or provisional status explicitly retained for assembly.
+- [ ] Repository bibliography keys verified and citations integrated.
+- [ ] Evidence/data global pass run.
+- [ ] Length/display global pass run with one reconciled counting method.
+- [ ] Terminology/style/TeX preflight and final audit run.
+
+## Knowledge and evidence-use closeout
+
+- **Nowledge:** three narrow `DynamisLab JFM` memory searches used for R5 global controls, S1 named-task status and S7–S9 interface/branch navigation. Repository controls overrode memory.
+- **Repository:** all current S1–S10 TeX, ten section audits, two existing wave audits, R5 registry/ledgers/context packets/rules, and current R4 global and section controls were read for architecture/status. `read` here is not independent scientific or artifact verification.
+- **Literature:** no search and no PDF read in this pass; only the repository-recorded citation states were inspected as control metadata.
+- **Not used:** thread recall, `mem_fs`, Working Memory, durable-memory write, scripts for scientific analysis, evaluator execution, CFD, training, rendering, artifact generation or final-master work.
@@ -0,0 +1,39 @@
+# Section 1 audit — Reader-facing citation compression
+
+**Unit:** A | **Writer ID:** `5ddac128-c9c7-4b83-8fb9-aed05023a9b0` | **Stage:** `citation-compression` | **Output:** `../sections/SECTION_01_INTRODUCTION.tex`
+
+## One-to-one paragraph cards
+
+Counts exclude the section heading and citation commands/keys.
+
+| ID | Reader-facing job | Citation role and inference limit | Actual words | Status |
+|---|---|---|---:|---|
+| S01-P01 | Define cloak/illusion; separate transformation, active-source, non-zero illusion, free-flow hydrodynamic and finite-$Re$ boundaries | Source roles are split across clear sentences; local candidates remain broad mapped propositions; no linear-to-viscous transfer or priority | 197 | pass |
+| S01-P02 | Select pinball and distinguish force/AFC context from target-relative field testing | Deng wording is title-level; Feng is force control only; force-versus-field caveat appears once | 157 | pass |
+| S01-P03 | Motivate DRL lineage and flow/task-dependent sparse sensing | Ren appears only here; Fan/Li--Zhang retain bounded roles; no PPO algorithm definition or Beem analogy | 167 | pass |
+| S01-P04 | Preview deployed policy-map reduction and distinguish GP/SINDy/PySR compactly before S5 | S5 owns taxonomy detail; PySR is implementation identity; no governing-equation or offline-validation claim; CCD remains noncausal | 174 | pass |
+| S01-P05 | State execution scope, Kármán-only field proximity, Erase/steady boundaries and S2 bridge | Unchanged; literature supports no internal result | 208 | pass |
+
+**Total:** **903 publishable prose words**, down **220** from the 1,123-word citation-expansion version and at the requested compression boundary.
+
+## Citation inventory
+
+**Current S1:** **25 unique keys / 26 occurrences**.
+
+**Preserved keys:** `PendryEtAl2006Controlling`, `Leonhardt2006OpticalMapping`, `Miller2006PerfectActiveCloaking`, `VasquezEtAl2009ActiveExterior`, `MaEtAl2013ActiveCloaking`, `LinEtAl2021ActiveAcousticIllusions`, `ChenEtAl2024MultilayerHydrodynamicCloak`, `UrzhumovSmith2012ActiveCloaks`, `DengEtAl2020PinballBifurcations`, `CornejoMacedaEtAl2021PinballControl`, `RaibaudoEtAl2020PinballControl`, `DengEtAl2021PinballForceModel`, `FengWang2010SyntheticJetCylinder`, `FengEtAl2023PinballForceControl`, `RabaultEtAl2019DRLFlowControl`, `ParisEtAl2021RobustFlowControl`, `FanEtAl2020BluffBodyRL`, `RenEtAl2021HydrodynamicStealthDRL`, `LiZhang2022ConfinedWakeRL`, `GautierEtAl2015ClosedLoop`, `LiEtAl2017GeneticProgrammingControl`, `BruntonEtAl2016SINDy`, `Cranmer2023PySR`, `LoiseauEtAl2018SparseROM`, `LiEtAl2022FlowEstimation`.
+
+**Became unused in S1:** `SchulmanEtAl2017PPO` (S2 owns the algorithm definition) and `BeemTriantafyllou2015WakeSensing` (retained only in S2). No bibliography entry was deleted.
+
+Mapped/full-text status is unchanged and not adjudicated in this pass. All propositions remain broad, with no new detail or number.
+
+## Compression and quarantine audit
+
+- Duplicate Ren use removed; the hydrodynamic-stealth precedent remains only in P3.
+- Four-key active-cloak compound sentence split into active-source and non-zero-illusion roles.
+- Chen now reads exactly at title level: `a multilayer hydrodynamic cloak in free flow has been reported`.
+- Deng now reads: `Transient and post-transient pinball-force dynamics have been treated with reduced modelling`.
+- Feng says force control, not “control and tracking”.
+- P4 compresses GP/SINDy/PySR and points detail to S5; PySR is named as implementation only.
+- Hard quarantine remains intact: no positive Illusion SR, cross-case SR transfer, OID, causal/validating CCD, old chain/number, experiment validation or priority wording.
+
+**Disposition:** `citation-compression`; five jobs retained and final/global disposition unchanged.
@@ -0,0 +1,43 @@
+# Section 2 audit — Reader-facing citation compression
+
+**Unit:** A | **Writer ID:** `5ddac128-c9c7-4b83-8fb9-aed05023a9b0` | **Lifecycle stage:** `citation-compression` | **Output:** `../sections/SECTION_02_PROBLEM_METHOD_EVALUATION.tex`
+
+## One-to-one paragraph cards
+
+Thirteen cards map to the reader-facing prose paragraphs; equation introductions and their following prose form one job. Displayed equations and citation commands/keys are excluded.
+
+| ID | Reader-facing job | Citation role and inference limit | Actual words | Status |
+|---|---|---|---:|---|
+| S02-P01a | Pinball, coordinates, confinement and separate configurations | No plant equivalence or cross-configuration pooling | 153 | pass |
+| S02-P01b | Scaling, $Re_D/U_0$, LBM and implementation split | No inherited conversion or implementation equivalence | 159 | pass-with-gates |
+| S02-P02a | Action scaling and compact force-context bridge | Deng/Feng motivate force as compact signal only; field caveat stated once | 161 | pass |
+| S02-P02b | Force/probe observations and complementary measurement roles | Centre/off-centre language is design intent; Nair/Marra roles bounded; Beem retained once here | 128 | pass |
+| S02-P02c | Placement/lag, periodic sensing and temporal-history limits | Gong/Jin/Wang retain distinct bounded roles; no present optimization/observability claim | 154 | pass |
+| S02-P02d | PPO and individual-policy reproduction | S2 retains `SchulmanEtAl2017PPO`; no convergence guarantee | 101 | pass-with-gates |
+| S02-P03a | Acquisition roles and cloak/illusion targets | Target and physical zero remain non-interchangeable | 113 | pass |
+| S02-P03b | Force-plus-sensor objective and field boundary | Reward remains signal-space only | 103 | pass-with-gates |
+| S02-P04a | Concise DTW genealogy, conventions and physical limits | Generic sources define dynamic programming only; project conventions remain explicit | 104 | pass |
+| S02-P04b | Registered ROI, mean-field error and geometry guard | No solver-exact common-fluid-mask claim | 103 | pass-with-gates |
+| S02-P04c | Phase/event/mean/steady measures and DTW/field separation | No pooled score or cross-measure transfer | 134 | pass |
+| S02-P05a | K2/S2 observable qualification | K2 remains `partial pass`; no control/cloaking qualification | 110 | pass-with-gates |
+| S02-P05b | Definitions-to-results bridge | No performance preview or transfer | 31 | pass |
+
+**Total:** **1,554 publishable prose words**, down **140** from the 1,694-word citation-expansion version and at the requested compression boundary.
+
+## Citation inventory
+
+**Current S2:** **14 unique keys / 14 occurrences**; no S2 citation became unused.
+
+Keys retained: `DengEtAl2021PinballForceModel`, `FengEtAl2023PinballForceControl`, `NairEtAl2021PhaseFlowControl`, `MarraEtAl2024ActuationManifold`, `RaibaudoEtAl2020PinballControl`, `CornejoMacedaEtAl2021PinballControl`, `LiEtAl2022FlowEstimation`, `BeemTriantafyllou2015WakeSensing`, `GongEtAl2020VortexEstimation`, `JinEtAl2022SensorActuatorPlacement`, `WangEtAl2024DynamicFeatureDRL`, `SchulmanEtAl2017PPO`, `SakoeChiba1978DynamicProgramming`, `Muller2015FundamentalsMusicProcessing`.
+
+Mapped/full-text status is unchanged and not adjudicated. No bibliography entry was deleted.
+
+## Compression and quarantine audit
+
+- Probe wording now states design intent: the centre/off-centre probes are `intended to sample` phase, deflection and cross-wake motion.
+- Force/field non-equivalence is stated once in the action bridge and once where the online objective is formally bounded; duplicated literature caveats were removed.
+- DTW was reduced from 225 to 104 words while retaining dynamic-programming genealogy, limited local time reparameterization, declared endpoint/window/step constraints, distance/similarity and native/normalized conventions, and the non-physical-delay/non-field-equivalence warning.
+- Project facts, configurations, equations, $U_0/Re_D$, roles, spatial metrics and qualification statements are unchanged.
+- Hard quarantine remains intact: no old chain, positive Illusion SR, cross-case SR, OID, causal/validating CCD, experiment validation, old internal value or priority claim.
+
+**Disposition:** `citation-compression`; thirteen prose cards/five frozen jobs retained and final/global disposition unchanged.
@@ -0,0 +1,46 @@
+# Section 3 audit — Unit B first lifecycle
+
+**Writer:** `a7e7df0b-a529-47e3-85b5-95683f9e7e24`  
+**Output:** `sections/SECTION_03_CAPABILITY_PROGRESSION.tex`  
+**Stage at first draft:** `first-draft`; literature diagnosis and integrated rewrite recorded below.
+
+## Evidence cards
+
+| ID | Job and claim ceiling | Comparator / coordinate / authority | Display dependency and local caveat | Fallback | Status |
+|---|---|---|---|---|---|
+| S03-P01 | Progression contract; four increasing task complexities, no pooled efficacy | steady endpoint; periodic Kármán phase; Vortex event coordinate; Illusion literal phase; R4 S3 packet and global ledger | no future-display narration in body; accepted interface and all exact panel/provenance/caption/art gates remain open here | prose progression | drafted; 89 words |
+| S03-P02 | Qualitative steady seed in two velocity components | target vs controlled endpoint vs stationary, $x/D=10$; steady profile CSV/manifest and S3-1 Plan | endpoint only; S8 owns spin, settling, metric and theory | component-profile prose | drafted; 96 words |
+| S03-P03 | Rounded Kármán preview and S4 ownership | target vs frozen PPO vs physical zero; complete-cycle mean and separate phase-8; R4 S3/S4 and wake-L2 authority | about 82% dimensionless reduction only; errors historical-$U_0$ normalized; $U_0/U_{ref}$ unbound; reward/visual/L2 distinct | qualitative role ordering | drafted; 109 words |
+| S03-P04 | Vortex morphology at one event coordinate | target/controlled/zero at literal offset; S3-2 Plan and mapped event fields | exact offset/provenance and evaluator remain open; body makes no scalar, evolution, suppression or tracking claim | morphology only | drafted; 78 words |
+| S03-P05 | Executed non-zero-target PPO case; morphology consistent with retargeting | same acquisition: $0.75L_0$ target / seed-43 PPO controlled / physical zero at literal phase; current V5 role metadata and plot manifest | no field scalar: no approach-to-target or improvement-over-zero claim; no positive Illusion SR | exact three-role morphology | drafted; 92 words |
+| S03-P06 | Why Kármán receives depth | evidence-intersection comparison, R4 S3/S4 ownership ledger | not representative or transferable; exact detail remains S4-owned | evidence-based bridge | drafted; 102 words |
+
+## Contract and evidence audit
+
+- Six paragraph jobs remain in frozen order. The body now reads as a physical progression rather than a future figure plan; S3 retains only the rounded Kármán ordering/reduction and leaves exact errors, ROI, phasing, DTW and actions to S4.
+- The accepted S3-1/S3-2 interface remains an audit-level production control. Crop, rendering, source-payload, fallback and readiness wording was removed from the body and retained in this audit.
+- Illusion role authority is resolved: the current V5 plot manifest groups target `v5/ill_075L/target`, seed-43 controlled `v5/ill_075L_seed43/controlled` and physical zero `v5/ill_075L/zero` as `ill_075L_seed43`; all three role metadata files bind case `ill_075L`, 750 warm-up steps, 250 collected boundaries, sample interval 1100, cycle window 18, the same configuration hash `2492cc49...7539`, target hash `dcaa97c4...f7b` and common phase procedure. They are separate role trajectories within one retained same-case acquisition contract, not one trajectory. S3 and S7-compatible ceiling: **the PPO policy was executed toward the non-zero target and the controlled morphology is consistent with retargeting; without a scalar field comparison, do not claim approach to target, improvement over physical zero, full-state matching or positive Illusion SR.** This ceiling is authoritative for S3 and recommended to the S7 owner; S7 was not edited.
+- Internal statements bind the current R4 packets, Figure Plans, steady manifest/profile source and S4 wake-L2 authority. Repository reads verify paths and recorded values; raw role arrays, final hashes and production crops were not independently audited in this lifecycle.
+- No citation, label or reference key is present. A repository search found citation commands in the draft guide but no verified bibliography database or key-definition authority for these section files. Exact request: the bibliography owner must bind intended S3 citations to existing repository key definitions before any `\cite` command is inserted. Literature remains rhetoric-only.
+- Evidence/data reconciliation retains the rounded approximately 82% preview as a dimensionless reduction while stating that its underlying field errors are historical-$U_0$ normalized and that $U_0/U_{ref}$ remains unbound.
+- Coordinator narrow review revised S03-P03 comparator-first: the three roles form the declared comparison, and controlled is closer than physical zero under each named estimand; the rounded approximately 82% preview and all caveats are unchanged.
+- Approved S2--S3 interface findings imported from `audits/SECTION_02_AUDIT.md#s2s3-interface-audit`: exact configuration and physical-zero terminology are retained; definitions are imported without bare inherited Reynolds labels, preview/detail transfer or signal/field pooling. No competing interface sidecar was created.
+
+## Bounded literature diagnosis and integrated changes
+
+The complete first drafts were diagnosed with five closest papers already present in the DynamisLab workspace/library; metadata, DOI and PDF availability were verified before reading. Each was read at `full-PDF` level with a section-specific, rhetoric-only question: Rabault et al., *Artificial neural networks trained through deep reinforcement learning discover control strategies for active flow control* (JFM 865, DOI `10.1017/jfm.2019.62`); Paris et al., *Robust flow control and optimal sensor placement using deep reinforcement learning* (JFM 913, DOI `10.1017/jfm.2020.1170`); Xia et al., *Active flow control for bluff body drag reduction using reinforcement learning with partial measurements* (JFM 981, DOI `10.1017/jfm.2024.69`); Wang et al., *Dynamic feature-based deep reinforcement learning for flow control of circular cylinder with sparse surface pressure sensing* (JFM 988, DOI `10.1017/jfm.2024.333`); and Cornejo Maceda et al., *Stabilization of the fluidic pinball with gradient-enriched machine learning control* (JFM 917, DOI `10.1017/jfm.2021.301`).
+
+Cross-paper diagnosis: close results sections define the reference/baseline before interpretation, separate aggregated learning records from a representative deterministic deployment, move from the principal comparison to fields and then subordinate sensor/action diagnostics, let captions decode roles/windows/encodings, and place realization or envelope limits beside the affected result. The papers differ in scalar-first versus field-first ordering; no universal order was inferred.
+
+Reader-facing sprint changes: recast the opening as a four-step physical progression; replaced preview, crop, rendering, payload, audit and fallback narration with direct role comparisons; resolved the exact three-role Illusion contract and applied the no-scalar morphology ceiling; retained endpoint, event-coordinate and target/control limits locally; and preserved S4 ownership of exact Kármán errors, ROI, phasing, DTW and actions. Production controls and fallbacks remain below. No literature-derived proposition, new fact, citation or artifact-status change was introduced.
+
+## Gates and readiness
+
+- **OPEN:** S3-1 final crop/typography; S3-2 exact Vortex offset, exact leaf/hashes, units, scales, crops, caption and render;  publication readiness.
+- **CLOSED only:** author choice of the two-figure interface.
+- **Fallbacks:** profile-only S3-1; one source-bound Vortex role comparison with no scalar; Illusion target/control only if zero fails; no compensatory efficacy prose.
+- **Disposition:** reader-facing rewrite complete under unchanged artifact gates; not a section pass and not artifact-ready. Uniform Pass-3-method count: 566 words across six paragraph jobs (89/96/109/78/92/102). Shared ledgers were not edited in this sprint.
+
+## Knowledge and computation closeout
+
+Three narrow Nowledge searches were used for navigation/history and then checked against repository controls. Working Memory, thread recall and `mem_fs` were not used. A durable-memory write was attempted at closeout but blocked as an unauthorized external side effect; the repository audit/registry remains the record. No CFD, training, event evaluation, rendering, artifact generation or new analysis was run.
@@ -0,0 +1,48 @@
+# Section 4 audit — Unit B first lifecycle
+
+**Writer:** `a7e7df0b-a529-47e3-85b5-95683f9e7e24`  
+**Output:** `sections/SECTION_04_KARMAN_RESULTS.tex`  
+**Stage at first draft:** `first-draft`; literature diagnosis and integrated rewrite recorded below.
+
+## Evidence cards
+
+| ID | Job and claim ceiling | Comparator / estimand / authority | Display dependency and local caveat | Fallback | Status |
+|---|---|---|---|---|---|
+| S04-P01 | Finite tested condition set and metric separation | uniform/free-slip $Re_D$ and disturbance series; latest eval table/summary | non-reference $n=1$; outer radii change learning rate; no continuous trend | move disturbance group to supplement | drafted; 114 words |
+| S04-P02 | Five-history recurrence and exact checkpoints | seeds 41--45, full 500 iterations; meta-backed latest summary | no uncertainty, convergence, stability or broad robustness | retain exact histories in prose | drafted; 86 words |
+| S04-P03 | Sampled-search ceiling and reward/field separation | complete histories plus online objective authority | selected evaluation is not sixth realization; reward is not field proximity | compact boundary | drafted; 78 words |
+| S04-P04 | Configuration/evidence-chain separation | uniform/free-slip survey vs parabolic/no-slip field authority | no common reader Reynolds label or chain pooling | direct field question | drafted; 62 words |
+| S04-P05 | Reference field roles and shared-comparator lineage | parabolic/no-slip target/frozen PPO/physical zero; S4/S5 manifests and hashes | target/zero shared across S4/S5; PPO/SR controlled distinct; no independent agreement | prose role ordering | drafted; 89 words |
+| S04-P06 | Complete-cycle mean proximity | $E_{mean}^{(U_0)}$ 0.085771/0.475206; registered $20D\times10D$ ROI; wake-L2 authority | geometry guard; no persisted exact mask; no pointwise/full-domain identity | scalar comparison | drafted; 90 words |
+| S04-P07 | Eight-slot phase proximity | $E_{phase8}^{(U_0)}$ 0.112680/0.630878; independent role phasing | nearest snapshots, no ensembles/global minimization; not replication; $U_0/U_{ref}$ unbound | scalar comparison | drafted; 91 words |
+| S04-P08 | Complementary signal/action organization | DTW 0.932899/0.625127; indices 96--145; historical $tU_0/D=38.4$--58.0 | DTW not full-field equivalence; target has no action; spectrum remains exact-window gated | omit spectrum | drafted; 98 words |
+| S04-P09 | Bounded synthesis and compact-law bridge | tested-range, field, signal and action authorities | no mechanism/optimality/universal law; no SR/S6 validation or triangulation | compact unresolved question | drafted; 85 words |
+
+## Contract and evidence audit
+
+- Nine reader-facing paragraphs implement the seven frozen argumentative jobs by splitting the former condition/history and field/error blocks: tested conditions; five-history recurrence; sampled-search/reward ceiling; configuration hinge; field roles/lineage; mean L2; phase L2; signal/action evidence; compact-law bridge. No ownership or claim ceiling changed.
+- Reader-facing configuration labels remain distinct. The parabolic-source reference case has no reader-facing Reynolds value.
+- Reward, target-normalized DTW and spatial L2 remain different quantities. Mean and phase errors remain separate estimands; S4 values are not compared with S6 corrected errors.
+- Targeted S4/S5 lineage reconciliation used current named manifests/metadata/hashes only, without metric rerun. Both plotting manifests bind the same exact target path `.../legacy/karman_re100/target/phase_fields.npz` and physical-zero path `.../legacy/karman_re100/zero/phase_fields.npz`; the S5 manifest records hashes `02555a5e...53ec` and `45620f98...8ac`, respectively. S4 PPO controlled (`.../controlled/phase_fields.npz`, S5-manifest hash `ab376c1f...b606`) and S5 SR controlled (`.../sr/phase_fields.npz`, hash `4c483b90...9de`) are distinct acquisitions. Thus coincident physical-zero errors arise from shared comparator artifacts, not independent agreement; controlled errors remain non-equivalent acquisition-specific estimands.
+- The wake-L2 authority defines both errors as $U_0$-normalized and records historical source time. S4 now labels $E_{mean}^{(U_0)}$, $E_{phase8}^{(U_0)}$ and $tU_0/D$ explicitly. $U_0/U_{ref}$ remains unbound; dimensionless zero-relative reductions are retained.
+- Exact learning values and confounders were checked against `latest_results_summary.json`, `latest_eval_summary.csv` and the retained summary CSV. Direct inspection of all five complete histories verifies low initial rewards at iteration 1 (0.0552--0.1363) relative to their authoritative 0.9160--0.9412 best checkpoints, so the bounded phrase `progress from low reward to high-performing checkpoints` is retained. Role semantics and DTW values were checked against current metadata/JSON. The time window was checked against `phase_alignment.json`.
+- Coordinator narrow review replaced `independent role acquisitions` with `separately retained role acquisitions` to avoid confusion with independent validation; the acquisition and configuration boundaries are unchanged.
+- No citation, label or reference key is present. A repository search found citation commands in the draft guide but no verified bibliography database or key-definition authority for these section files. Exact request: the bibliography owner must bind intended S4 citations to existing repository key definitions before any `\cite` command is inserted. Literature remains rhetoric-only.
+
+## Bounded literature diagnosis and integrated changes
+
+The complete first drafts were diagnosed with five closest papers already present in the DynamisLab workspace/library; metadata, DOI and PDF availability were verified before reading. Each was read at `full-PDF` level with a section-specific, rhetoric-only question: Rabault et al., *Artificial neural networks trained through deep reinforcement learning discover control strategies for active flow control* (JFM 865, DOI `10.1017/jfm.2019.62`); Paris et al., *Robust flow control and optimal sensor placement using deep reinforcement learning* (JFM 913, DOI `10.1017/jfm.2020.1170`); Xia et al., *Active flow control for bluff body drag reduction using reinforcement learning with partial measurements* (JFM 981, DOI `10.1017/jfm.2024.69`); Wang et al., *Dynamic feature-based deep reinforcement learning for flow control of circular cylinder with sparse surface pressure sensing* (JFM 988, DOI `10.1017/jfm.2024.333`); and Cornejo Maceda et al., *Stabilization of the fluidic pinball with gradient-enriched machine learning control* (JFM 917, DOI `10.1017/jfm.2021.301`).
+
+Cross-paper diagnosis: close results sections define the reference/baseline before interpretation, separate aggregated learning records from a representative deterministic deployment, move from the principal comparison to fields and then subordinate sensor/action diagnostics, let captions decode roles/windows/encodings, and place realization or envelope limits beside the affected result. The papers differ in scalar-first versus field-first ordering; no universal order was inferred.
+
+Reader-facing sprint changes: separated condition sampling, five-history recurrence and reward/field inference; translated retained/historical-source/estimand/evidence-chain wording into training, trajectory, field, signal and simulation-scaling language; consolidated repeated limitations at the affected result; separated configuration ownership from the deep field comparison; split mean, phase and signal/action results into distinct estimand-led paragraphs; and replaced production narration with direct physical interpretation plus local mask, phasing, acquisition and no-target-action limits. Historical $U_0$ notation and S4/S5 shared-comparator lineage remain explicit. No literature-derived proposition, new fact, citation or artifact-status change was introduced.
+
+## Gates and readiness
+
+- **OPEN:** S4-1 production redraw and Reynolds-label metadata audit; S4-2 unit/crop/scale/caption audit (target/zero and controlled lineage hashes are now bound); exact shared spectrum window; action-unit choice; zero sensor portrait; publication readiness. Production, audit, fallback and source-payload wording is retained here rather than in the body.
+- **Fallbacks:** move disturbance group to supplement; omit spectrum first and DTW from display second; retain field comparison as prose/scalars if visual alignment fails.
+- **Disposition:** reader-facing rewrite complete with exact source-bound values and unchanged production gates; not artifact-ready or a final section pass. Uniform Pass-3-method count: 793 words across nine paragraphs (114/86/78/62/89/90/91/98/85). Shared ledgers were not edited in this sprint.
+
+## Knowledge and computation closeout
+
+Three narrow Nowledge searches were used for navigation/history and then checked against repository authorities. Working Memory, thread recall and `mem_fs` were not used. A durable-memory write was attempted at closeout but blocked as an unauthorized external side effect; the repository audit/registry remains the record. No CFD, training, spectrum computation, field redraw, artifact generation or new analysis was run.
@@ -0,0 +1,39 @@
+# Section 5 Round-5 audit
+
+**Writer:** `cf2466a8-c3c8-44e9-a926-e7d826a8816a`  
+**Stage:** integrated rewrite / conditional wave audit. **Output:** `sections/SECTION_05_KARMAN_SR_LAW.tex`. **Wave audit:** `WAVE_S04_S06_INTERFACE_AUDIT.md`.
+
+## Paragraph evidence cards
+
+- **S05-P01a — reduction question.** Claim: the persistent rear-rotation hierarchy motivates an executable surrogate for the fixed PPO policy. Authority: R4 S5 §§2,4,9 and `src/SR_analysis/{CLAIMS.md,results/README.md}` (`read`). Boundary: no flow model, mechanism or shared S4/S6 comparison.
+- **S05-P01b — external method distinction.** Claim: direct genetic-programming controller search evaluates explicit laws in the control loop, whereas SINDy identifies sparse dynamics and SINDy-RL jointly learns sparse models with a policy. External support: `GautierEtAl2015ClosedLoop` and full-PDF `DebienEtAl2016GeneticProgrammingRamp`, `RenEtAl2019MachineLearningVIV`, `CastellanosEtAl2022FewSensorMLControl`, `ZolmanEtAl2025SINDyRL`; `BruntonEtAl2016SINDy` is local mapped and supports only the broad dynamical-identification identity. Boundary: these are different mathematical tasks and do not validate the present law.
+- **S05-P01c — post-hoc policy map.** Claim: the current SR fit is post-hoc regression of a fixed PPO state--action map, with post-state `i` predicting action `i+1`; deployment, not offline fit, tests control. `Cranmer2023PySR` supplies local mapped software/search-method identity only. Authority for internal alignment and role: R4 S5 and current SR package (`read`). Boundary: no novelty, priority, governing-equation or literature-validation claim.
+- **S05-P02 — imposed map.** Claim: $Gx$ is the centreline-reflected measured state, with exact sensor, velocity, force and action parity; the imposed map creates an odd front head and shared rear generator. Authority: R4 S5 §§4,6 and canonical formula authority (`read`). Boundary: imposed after PPO collection; no PPO/plant symmetry proof.
+- **S05-P03a — executable law.** Claim: native signed-force conventions and $C_{d,i}=2f_{x,i}/(\rho U_0^2D)$, $C_{l,i}=2f_{y,i}/(\rho U_0^2D)$ with retained lattice $\rho=1$ bind the coefficient interpretation. Authority: `SR_analysis/utils/{feature_builder.py,g_operator.py}`, canonical formula artifacts, `CLAIMS.md` and `results/README.md` (`read`). Equation licensed.
+- **S05-P03b — action units.** Claim: historical $\alpha=\omega/U_0$ and the general surface-speed conversion are retained. Gate: $U_0=U_{ref}$ unresolved. Fallback: no $s=\alpha R$ simplification.
+- **S05-P04a — deployment selection.** Claim: simplicity/offline fit nominates a map, while execution on surrogate-visited states selects its control meaning. Authority: current SR package (`read`). Literature positions the distinction only.
+- **S05-P04b — trajectory metric.** Claim: exact 480-settling/160-recorded-boundary result and rolling native-DTW contract: 30-boundary window, one circular lag, six channel scores averaged. Authority: role-local `dtw_summary.json`/`metadata.json`, SR `PIPELINE.md`, claims and acquisition README (`read`). Boundary: lag is comparison metadata, not delay.
+- **S05-P04c — spatial metrics.** Claim: exact SR/zero $E_{\mathrm{mean}}$ and $E_{\mathrm{phase8}}$ use historical-$U_0$-normalized two-component ROI RMS, with complete-cycle means versus eight nearest-boundary phase slots; target, SR and zero share same-case comparator lineage. Authority: `drl_pinball/data/reproduction/sr_wake_l2_summary.json` (`read`). Boundary: independently acquired S4 PPO-controlled errors are not repeat measurements.
+- **S05-P05a — deletion measurement.** Claim: exact ranking under the same 40-step, six-channel, shared-lag native-DTW parent/deletion contract. Authority: `term_deletion.{md,csv}` (`read`).
+- **S05-P05b — deletion interpretation.** Claim: the rear constant has the largest listed degradation in each tested case, but each deletion changes the subsequent trajectory. Boundary: parent-relative and noncausal; no necessity or mechanism.
+
+## Contract audit
+
+Five of five frozen jobs drafted across eleven one-to-one paragraph cards. Positive SR is Kármán/cloak-only; no Illusion-positive result. Symmetry is imposed, deletion is parent-relative/noncausal, and S4/S5/S6 estimands remain separated. Reader-facing citations use only R5-owned keys; no label or reference is fabricated. Required equations are source-bound, and `operatorname{odd}` is defined locally by the displayed antisymmetrization. Figure, action-extraction, target reconciliation and historical velocity-reference gates remain open; optional deployment envelope omitted.
+
+Literature diagnosis used existing DynamisLab full PDFs only; details and integrated fixes are recorded in the citation ledger. It supported ordering and caveat placement, not internal facts.
+
+## Length, share and production fields
+
+- **Uniform substantive words:** **899** by the established global count; 5/5 jobs retained.
+- **Allocation/share:** 15% allocation reserved; actual article share unresolved until the complete article. S4–S6 jointly target 44% with an ordinary 42% floor. No prose is added to consume an illustrative allocation.
+- **Bibliography/citation inventory:** 7 active S5 keys, all resolving in `../R5_REFERENCES.bib`: `GautierEtAl2015ClosedLoop`, `DebienEtAl2016GeneticProgrammingRamp`, `RenEtAl2019MachineLearningVIV`, `CastellanosEtAl2022FewSensorMLControl`, `BruntonEtAl2016SINDy`, `ZolmanEtAl2025SINDyRL`, and `Cranmer2023PySR`. `CornejoMacedaEtAl2021PinballControl` remains in the bibliography but is no longer cited in S5 after the method distinction rewrite.
+- **Displays:** labels, callouts, caption wording, action extraction and production provenance remain deferred/gated; optional deployment envelope remains omitted.
+- **Wave disposition:** conditional; see `WAVE_S04_S06_INTERFACE_AUDIT.md`.
+
+## Reader-facing sprint audit
+
+The rewrite retains five evidence jobs in a more readable progression: physical action hierarchy → surrogate/execution question → imposed symmetry → executable law and units → closed-loop evidence → parent-relative deletion and field bridge. Body prose contains no redraw, recomposition, gate or publication-readiness language; those dependencies remain in this audit. Dense execution and deletion material is split so that the measurement contract precedes its interpretation; no internal value, case, mechanism or claim was added. Current uniform recount is **899** substantive words by the established global method.
+## Citation integration closeout
+
+S5 adds six active keys to the prior `GautierEtAl2015ClosedLoop` citation: local mapped `BruntonEtAl2016SINDy` and `Cranmer2023PySR` support broad method identities only; full-PDF `DebienEtAl2016GeneticProgrammingRamp`, `RenEtAl2019MachineLearningVIV`, `CastellanosEtAl2022FewSensorMLControl` and `ZolmanEtAl2025SINDyRL` support the more specific direct-controller, executed-behaviour and joint model-based RL distinctions recorded in the citation ledger. No citation supports an internal coefficient, alignment, value, deletion ranking or performance claim. `CornejoMacedaEtAl2021PinballControl` was removed from S5 because the expanded sentence now has narrower method owners; its bibliography record is unchanged. `LiEtAl2017GeneticProgrammingControl` is now uncited pending global bibliography pruning because the full-PDF direct-controller sources own the sentence. Optional constrained Galerkin was not imported.
@@ -0,0 +1,42 @@
+# Section 6 Round-5 audit
+
+**Writer:** `cf2466a8-c3c8-44e9-a926-e7d826a8816a`  
+**Stage:** integrated rewrite / conditional wave audit. **Output:** `sections/SECTION_06_KARMAN_FIELD_CCD.tex`. **Wave audit:** `WAVE_S04_S06_INTERFACE_AUDIT.md`.
+
+## Paragraph evidence cards
+
+- **S06-P01 — four-role means.** Claim: exact target/zero/constant/PPO-controlled mean comparison with labels $T$, $0$, $C$ and $D$ defined locally, with the target consistently represented by its retained mean $\overline{\boldsymbol{u}}_T$. Authority: `CCD_analysis/{FINAL_RESULTS.md,MATHEMATICAL_DERIVATION.md,karman_dynamic/CORRECTED_MATH_CONTRACT.md}` (`read`). **Exact retained four-role mean-window binding: BOUND.** Target, zero, constant-mean and PPO-controlled roles each use half-open `retained_slice: [480,840]`, 360 boundaries. Exact pointers: current authority parent paths in `/home/frank14f/optane/DynamisLab/ccd/karman-dynamic/canonical/results/roi-mean/summary.json` → each `sources/{target,zero,constant_mean,drl}/campaign.json`; computation is literal in `src/CCD_analysis/karman_dynamic/dynamic_increment.py::_dense_statistics` (`ux[start:stop]`, `uy[start:stop]`). The ROI result manifest SHA256 is `f7f6141042678e52314a4d8f76d589108da8e844c8ce504f8f523a6f88a17e73` in `src/CCD_analysis/artifact_catalog.json` and the validated publication checkpoint. Metric: inclusive `34<=x/D<=54`, `|y/D|<=5`, exact common mask, 80,200 points, coordinate weighting. Caveat: distinct from S4/S5.
+- **S06-P02 — signed fields.** Claim: the four retained means lead to a component-level physical reading of `zero-target` deficit and largely opposing `PPO-controlled minus zero` addition, explicitly separated from the two-component scalar metric. Authority: R4 S6 and Figure Plan bound stored means (`read/mapped`). Boundary: the component view does not establish momentum restoration. Composite OPEN; fallback prose plus existing zero-target.
+- **S06-P03 — scalar accounting.** Claim: `E0=0.4694352273`, `EC=0.1110140739`, `ED=0.0857787860`, shares 93.42/6.58, followed immediately by denominator and non-energy/non-residual-norm explanation. Authority: `FINAL_RESULTS.md`, derivation and results index (`read`). Caveat: scalar error differences, not energy, variance, physical/modal contribution or causality. Equation licensed.
+- **S06-P04 — residual.** Claim: the two-component velocity notation $\boldsymbol{u}_r(k)$ is used consistently, and a separately centred 19-cycle by 10-bin non-paired residual $\boldsymbol{u}^{\mathrm{res}}_{c,b}(k)$ is constructed as a field object distinct from scalar error differences. Authority: corrected math contract and derivation (`read`). External context: full-PDF `TadmorEtAl2010CylinderMeanField` supports only the mean/shift-mode distinction; the body explicitly denies identity with the present subtraction. Caveat: no pairing, lag, interpolation, whitening, preprojection or counterfactual. Residual equation licensed.
+- **S06-P05 — CCD/POD.** Claim: canonical correlation decomposition (CCD) is expanded at first use; exact action-coordinate preprocessing leads to rank-3 action-correlated correction-field modes; POD then supplies the identical-object field-only boundary. Authority: `FINAL_RESULTS.md`, derivation, `karman_dynamic/{interpretation.py,mode_diagnostics.py}`, real-CCD schema and figure/data contract (`read`). Action convention: native counter-clockwise-positive front/upper/lower effective actions in solver angular-velocity command units; orthonormal rear sum/difference coordinates; physical mean removal followed by empirical centring; no standardization/whitening. Caveat: descriptive/noncausal; action association only; POD detail supplemental. The body-level “essentially the same tested rank-3 field subspace” sentence is manuscript-licensed by current `FINAL_RESULTS.md`, `CLAIMS.md`, `RESULTS_INDEX.md` and `WRITING_HANDOFF.md`, not merely an internal diagnostic. External ancestry: full-PDF `JordanEtAl2007ObservableJetModes` and `DiscettiEtAl2018CorrelatedFieldEstimation` support observable-ranked and point--field correlation propositions; current full-PDF Borée/Loiseau/Schlegel sources retain EPOD, observable-associated and POD boundaries. Composite OPEN.
+- **S06-P06 — synthesis.** Claim: mean-dominant ledger plus a residual associated with the smaller constant-to-PPO-controlled scalar increment and organized through descriptive action association, case-specific. The 6.58% scalar share is not a residual-norm statement. Authority: R4 S6 frozen synthesis (`read`). Caveat: no SR-coordinate identity, triangulation, transfer or mechanism.
+
+## Contract audit
+
+Six of six jobs drafted. Four-role order, signed subtraction order, scalar semantics, non-pairing, fixed CCD term and POD boundary pass. Internal complementarity values `-0.9961/0.1662` are not printed. CCD operator omitted from body because the residual and conceptual boundary suffice. Main display dependencies remain in this audit only; cross-cloak audit omitted from body and sprint. Reader-facing citations use only R5-owned keys; no label or reference is fabricated.
+
+Literature diagnosis used existing DynamisLab full PDFs only; details and integrated fixes are recorded in the citation ledger. Literature did not verify any internal value or promote artwork.
+
+## Length, share and production fields
+
+- **Uniform substantive words:** **747** by the established global count; 6/6 jobs retained.
+- **Allocation/share:** 16% allocation reserved; actual article share unresolved until the complete article. S4–S6 jointly target 44% with an ordinary 42% floor. No prose is added to consume an illustrative allocation.
+- **Source binding:** exact target/zero/constant/PPO-controlled mean windows are **BOUND** to the same 360 role-local boundaries, half-open slice `[480,840)`, by the current ROI result parent manifests and literal mean implementation. No value was altered or inferred.
+- **Bibliography/citation inventory:** all 6 active S6 keys resolve in `../R5_REFERENCES.bib`: `TadmorEtAl2010CylinderMeanField`, `Boree2003ExtendedPOD`, `JordanEtAl2007ObservableJetModes`, `DiscettiEtAl2018CorrelatedFieldEstimation`, `LoiseauEtAl2018SparseROM`, and `SchlegelEtAl2012LeastOrder`.
+- **Displays:** labels, callouts, caption wording, exact retained-window provenance and composite production remain deferred/gated.
+- **Wave disposition:** conditional; see `WAVE_S04_S06_INTERFACE_AUDIT.md`.
+
+## Approved evidence/data delta — S10 handoff
+
+- S6 now uses $\overline{\boldsymbol{u}}_T$ consistently in the mean-error equation.
+- “Smaller residual” is prohibited: the 6.58% value describes the constant-to-PPO-controlled share of the scalar mean-field error reduction, not a residual norm.
+- **Exact minimal Unit-E recommendation for S10-D02 (do not import as new evidence):** replace `while the smaller residual is organized descriptively through action coordinates as` with `while the separately centred residual associated with the smaller constant-to-PPO-controlled scalar increment is organized descriptively through action coordinates as`. Retain the following fixed term `\emph{action-correlated correction-field modes}` and all existing acquisition/estimand and noncausal caveats.
+- The exact four-role mean window remains authority-bound to 360 role-local retained boundaries, half-open slice `[480,840)`, under the source chain recorded in S06-P01.
+
+## Reader-facing sprint audit
+
+The rewrite retains six evidence jobs as distinct readable paragraphs: four-role construction/metric → signed mean fields → scalar accounting → residual definition → CCD/action association → matched POD boundary and synthesis. The CCD and POD material is split into construction, association and field-only comparison, while keeping the `[480,840)`/360-boundary window, exact action coordinates, target-mean notation and noncausal ceilings. Body prose contains no redraw, recomposition, gate or publication-readiness language; those dependencies remain here. Current uniform recount is **747** substantive words by the established global method.
+## Citation integration closeout
+
+S6 adds `TadmorEtAl2010CylinderMeanField` for the bounded mean/shift-mode context and `JordanEtAl2007ObservableJetModes` plus `DiscettiEtAl2018CorrelatedFieldEstimation` for observable-ranked and point--field correlation ancestry. All three are full-PDF propositions recorded in the Undermind expansion audit. Existing `Boree2003ExtendedPOD`, `LoiseauEtAl2018SparseROM` and `SchlegelEtAl2012LeastOrder` retain the EPOD, observable-associated and POD/least-order boundaries. No citation supports the four-flow errors, percentages, residual construction, rank-3 project result, subspace comparison, causality, superiority or triangulation. The fixed term `\emph{action-correlated correction-field modes}` is unchanged; OID and PCD are not imported.
@@ -0,0 +1,46 @@
+# Section 7 Round-5 audit — Unit D
+
+**Output:** `sections/SECTION_07_CROSS_CASE_EXTENSIONS.tex`  
+**Writer agent ID:** `da7067b9-38f7-4b50-bc3b-e128f9f08a2f`  
+**Stage:** `section-pass` after first draft, bounded literature diagnosis and integrated rewrite  
+**Counting method:** regex count of prose after removing the section heading and displayed-equation environments; TeX commands/symbols are not counted as words.  
+**Actual body words:** **502**; provisional S7 envelope **640–800**; illustrative midpoint **696**; section has **5/5 jobs**. No authorized article total exists, so an actual article share cannot yet be computed; the controlling provisional share remains **8%**.
+
+## Evidence cards
+
+| ID | Job and licensed claim | Comparator / definition | Internal authority and state | Metric / display dependency | External diagnosis | Adjacent caveat / fallback | Status |
+|---|---|---|---|---|---|---|---|
+| S07-P01 | Change clock/target definitions without importing Kármán depth | periodic phase vs event-relative offset; background vs non-zero or clean target; local role triplets | R4 S7 packet and global ledger `read` | no common metric is formed | Den20 full-PDF supports regime-clock separation only | role acquisitions, clocks and estimands remain case-local | pass |
+| S07-P02 | Vortex role identity and morphology at central Taylor incidence, offset `+10`; reactive/local-information hypothesis only | target / frozen-PPO controlled / physical-zero | role metadata `read`; event-field paths and evaluator exclusion `path-confirmed`; raw arrays not recomputed | no scalar field evaluation reported; morphology only | Den20 full-PDF supports placing failure beside visual comparison | no scalar, controlled-below-zero, arbitrary-family, observability or memorylessness claim | pass |
+| S07-P03 | bounded `0.75` target-size seed-43 PPO retargeting statement; negative SR boundary | declared non-zero target; exact role list intentionally omitted pending concurrent authority reconciliation | R4 S7 packet and Figure Plan `read`; retained sources `mapped`, no R5 recomputation | policy executed toward declared target; morphology consistent with retargeting; no scalar change in target-relative error reported | Mac20 full-PDF supports controller/mean-field boundaries only | no positive Illusion SR or Kármán-surrogate transfer | pass |
+| S07-P04 | Erase has clean-target, controlled and physical-zero role material only | one late clean target vs eight controlled/zero phase-referenced fields | role metadata `read`; evaluator exclusion and source paths verified | no scalar field evaluation; morphology only; temporal estimands remain distinct | Den20 full-PDF supports local temporal-object definitions | rolling reward is not independent clean-field efficacy; no scalar or success wording | pass |
+| S07-P05 | synthesize available material and enforce strict non-transfer | distinct configurations, acquisitions and estimands | global ledger, context packet and R4 S7 exclusions `read` | no cross-case metric or transferred interpretation | cross-paper pattern: retain local negative routes and limitations | no common efficacy, robustness, mechanism, SR/CCD transfer or universality | pass |
+
+## First-draft literature diagnosis and integrated fixes
+
+After the complete first draft, five close existing-workspace papers were read as full PDFs for Unit D; S7 used the relevant diagnoses from Deng et al. and Cornejo Maceda et al. The clear contract-preserving fixes retained in the integrated text were: define the event-relative clock before interpreting the offset; place the no-scalar boundary immediately after the Vortex morphology statement; renew roles and target semantics for Illusion and Erase; and keep the negative controller/evaluator routes local rather than in a detached limitations paragraph. Literature supplied rhetoric only and did not verify any project acquisition, value or artifact. No citation command or bibliography key was inserted because no repository-approved key was established.
+
+## Reader-facing sprint revision
+
+The body now uses physical cases, trajectories and fields as sentence subjects. A density follow-up retained only authority-licensed physical explanation: the common Vortex event coordinate aligns incoming-structure/pinball/downstream-wake morphology by role; Illusion compares against a declared non-zero wake pattern rather than undisturbed inflow; and Erase snapshot averaging would remove phase variation whereas snapshot-wise aggregation would retain it. No more specific shape, attenuation or recovery observation is licensed by the packet, so none was added. Evaluator, provenance, artwork, production and gate-management language was removed from reader-facing prose. Missing evidence is expressed scientifically: no scalar field evaluation is reported for Vortex or Erase, so only morphology is considered. Illusion retains only the bounded non-zero-target execution/retargeting-morphology statement and all non-transfer boundaries remain adjacent. The existing bibliography was checked: `CornejoMaceda2021` is verified, but no external citation was needed for the revised internal case statements; the remaining diagnosed papers still require approved bibliography keys before any optional citation is inserted.
+
+## Final high-value polish
+
+Illusion now uses the bounded statement required during concurrent role reconciliation: the seed-43 PPO policy was executed toward a declared non-zero target and its morphology is consistent with retargeting; no scalar change in target-relative error is reported. The exact Illusion role list is intentionally absent from prose, so a later Unit-B authority resolution cannot conflict with S7 wording. `PPO-controlled` is standardized across Vortex, Illusion and Erase. Acquisition taxonomy and repeated caveat inventories were compressed into physical field and temporal-comparison language.
+
+## Contract and interface audit
+
+- Five paragraph jobs are present. The inventory's compact mapping (Vortex combined into one paragraph; separate Illusion, Erase and envelope paragraphs) preserves the frozen five-job architecture.
+- S7 imports no Kármán number, SR law, CCD result or mechanism. `Kármán` appears only as the explicit non-transfer comparator.
+- Vortex offset `+10` is called event-relative acquisition index, never phase or physical time.
+- Vortex and Erase contain no efficacy scalar, reduction, success, restoration or controlled-below-zero claim.
+- Illusion retains only PPO execution toward a declared non-zero target with morphology consistent with retargeting; no scalar target-relative error change or positive Illusion SR transfer is claimed.
+- S7→S8 bridge asks whether a separately acquired endpoint supplies context while prohibiting continuation, validation and numerical connection.
+- The synthesis now uses the cases/PPO policies as concrete subjects; it does not attribute problem posing or efficacy to the acquisitions.
+- No `\cite`, `\ref`, `\label`, caption, figure environment or invented key is present.
+
+## Gates, fallbacks and closeout
+
+**Open/blocked:** versioned Vortex and Erase evaluators binding exact target, roles, ROI/mask, normalization, window and provenance; Illusion exact scalar binding; all panel source/provenance/crop/scale/caption/redraw/publication readiness.  
+**Fallbacks retained:** Vortex and Erase physical-variable target/controlled/physical-zero role fields only; Illusion role fields without an unbound scalar.  
+**Not used:** CFD, training, evaluator execution, field processing, artifact generation, new analysis, final-master assembly, thread recall, `mem_fs`, Working Memory or durable-memory write.
@@ -0,0 +1,54 @@
+# Section 8 Round-5 audit — Unit D
+
+**Output:** `sections/SECTION_08_STEADY_THEORY.tex`  
+**Writer agent ID:** `da7067b9-38f7-4b50-bc3b-e128f9f08a2f`  
+**Stage:** `section-pass` after first draft, bounded literature diagnosis and integrated rewrite  
+**Counting method:** established global uniform source-text count: remove comments/headings, displayed equations, inline math, citation commands and remaining TeX commands/braces; count lexical alphanumeric tokens.  
+**Uniform substantive words:** **591**; provisional S8 envelope **480–600**; illustrative midpoint **522**; section has **5/5 jobs**. No authorized article total exists, so an actual article share cannot yet be computed; the controlling provisional share remains **6%**.
+
+## Evidence cards
+
+| ID | Job and licensed claim | Comparator / definition | Internal authority and state | Metric / equation / display dependency | External diagnosis | Adjacent caveat / fallback | Status |
+|---|---|---|---|---|---|---|---|
+| S08-P01 | separately acquired steady endpoint may provide context | parabolic/no-slip periodic chain vs uniform/free-slip steady chain | context packet, global ledger, R4 S8 packet `read` | imports only ranked persistent-plus-correction organization | Mac20 full-PDF supports branch/controller localization | no continuation, amplitude match, replication or validation | pass |
+| S08-P02 | settling-qualified low-deficit endpoint at accepted action | stationary unsteady reference; reverse `s=5.2` non-amplitude-matched endpoint | steady README/RESULTS and figure manifest `read`; endpoint hashes mapped | at $x/D=10$, $\max_{y\in\mathcal C}|\boldsymbol u_{ctl}-\boldsymbol u_{in}|/U_\infty=0.02317$ over the common-fluid cross-section; two-component Euclidean norm, no quadrature weighting; exact provenance `0.0231672176752314` | Cha11b and Mac20 full-PDF support condition-first comparison and local stability limits | endpoint, not optimum/stable branch/universal law | pass |
+| S08-P03 | wall velocity is kinematic fact; field sequence motivates viscous hypothesis | accepted vs stationary/reverse source fields | wall law and current steady package `read`; no recomputation | endpoint observations only; causal links require intervention/budget tests | Cha11b and Ued03 full-PDF support direction/no-slip first and explicit validity boundaries | no amplitude-matched intervention, closed budget, force ownership or stability analysis | pass |
+| S08-P04 | prescribed-circulation Hodge/period family organizes an outer field and fails closure by no-slip incompatibility and opposite sign | $g=0$, manuscript $g_{opt}=6.148$, $g_{fit}=-12.20$; exact provenance `6.1479442395622`, `-12.200554143243473` | RESULTS, DERIVATION selections, figure README/manifest and R4 packet `read`; source payloads mapped | main Hodge/period display plus adjacent no-slip and sign tests | Crowdy, Ueda, Mittal, Chan, Sierra and Watson full-PDF support the outer-model assumptions, rotating no-slip boundary, parameter/branch dependence and viscous-matching limitation | prescribed periods are not selected by spin; not finite-Re mechanism validation | pass |
+| S08-P05 | synthesis is compatible but non-equivalent and organizational | periodic persistent-plus-correction vs separate endpoint/hypothesis/failed closure | R4 S8 imports/exports and S7 non-transfer boundary `read` | prose joins only compatible, non-equivalent observations | cross-paper pattern: preserve branch identity and dedicated proof requirements | active S9 omission branch; section ends on missing viscous tests and rejected closure | pass |
+
+## First-draft literature diagnosis and integrated fixes
+
+After the complete first draft, five close papers from the existing DynamisLab workspace were read in full-PDF state: Deng et al. (JFM 918 A4), Cornejo Maceda et al. (JFM 917 A42), Chan et al. (JFM 679), Ueda et al. (JFM 495), and Crowdy (EJMB/F 25). The integrated rewrite retained only clear contract-preserving practices: define action signs and nondimensional rate before endpoint interpretation; distinguish endpoint fields from stability or mechanism; front-load irrotationality, impermeability and prescribed-period meaning; place one-circle no-slip incompatibility and the project sign failure in the same paragraph as the outer solution; and end with dedicated missing tests. Literature did not establish any project number, source status, mechanism or artifact readiness. At that lifecycle stage no key was inserted; the citation-integration closeout below supersedes this bibliography status without changing the diagnosis.
+
+## Reader-facing sprint revision
+
+The body now introduces the prescribed-circulation family through a physical closure question: whether circulation freedom left by impermeability can explain the observed finite-Re organization. It then separates what the outer family can do (reorganize streamlines) from what it cannot do (impose rotating no slip), before using the opposite fitted and objective signs to reject closure. Figure-production, provenance, artwork and gate-management prose was removed from the section; missing mechanism evidence is stated as the intervention, diagnostic and budget tests required to isolate the proposed viscous links. The internal endpoint values remain uncited. The external outer-family and rotating-no-slip propositions now use the approved Crowdy and Ueda R5 keys recorded below.
+
+## Final high-value polish
+
+The active S9 omission branch removes the experiment bridge from S8. The final paragraph now names the physical evidence chains directly and ends with the exact viscous diagnostics still needed—amplitude-matched interventions, held-out endpoint/convergence tests, wall-vorticity flux, separation, and a closed same-control-volume momentum/mechanical-energy budget—followed by the retained no-slip/sign rejection of inviscid closure. Citations, basis normalization, rounded manuscript values and exact audit provenance are unchanged.
+
+## Equation, figure and interface audit
+
+- The accepted multi-cylinder Hodge/period display is present and defines $\boldsymbol u_N$, $\boldsymbol h_j$, impermeability, irrotationality and period normalization.
+- The one-circle rotating-no-slip incompatibility is adjacent. Before the values, $g$ is defined by $(\Gamma_1,\Gamma_2,\Gamma_3)/(U_\infty D)=g(0,1,-1)/\sqrt{2}$: a dimensionless coefficient of the unit-$L^2$ rear-opposite basis, in front/upper-rear/lower-rear order, with positive circulation geometrically counter-clockwise. It is followed immediately by $g_{opt}>0$ versus $g_{fit}<0$.
+- The outer field is called a bounded/prescribed-circulation outer reference and geometrical organization, never a potential prediction or validated finite-Re mechanism.
+- Direct observation is restricted to differing authenticated vorticity/streamline-field organization; wall shear/vorticity production, shear-layer development, transport, separation/recirculation and downstream links are explicitly hypothesis ingredients, not a claim that each diagnostic was measured.
+- Coordinator-authorized manuscript rounding gives endpoint `0.02317`, $g_{opt}=6.148$ and $g_{fit}=-12.20$. Exact provenance remains `0.0231672176752314`, `6.1479442395622` and `-12.200554143243473`; rounding changes no sign, inference or gate.
+- Current `metrics.py::profile_errors` and `runner.py::_profile_vs_qin` bind $E_{\infty,\mathrm{vector}}$ to the maximum over common-fluid cross-section points of the Euclidean norm of controlled-minus-inflow streamwise/transverse velocity, normalized by $U_\infty$. Unlike the separate crop-$L^2$ metric, this profile $L^\infty$ value has no cross-section quadrature weighting. Reader notation uses $\boldsymbol u_{ctl}$ and $\boldsymbol u_{in}$ to avoid conflict with other $q$ notation.
+- S7→S8 boundary is strict: the steady chain is separately acquired and does not inherit cross-case efficacy or periodic interpretation.
+- Under the active S9 omission branch, S8 has no experiment bridge and ends on missing viscous diagnostics plus rejected inviscid closure.
+- No momentum restoration, causal mechanism, optimum, robustness, amplitude agreement, continuation, replication, stability or cross-configuration validation claim appears.
+- Six authorized external keys are present in six `\citep` commands: `Crowdy2006MultipleCylinders`, `UedaEtAl2003RotatingCylinders`, `Mittal2001RotatingControlCylinders`, `ChanEtAl2011CounterRotatingCylinders`, `SierraEtAl2020RotatingCylinderBifurcations` and `Watson1996TwoRotatingCylinders`. No `\ref`, `\label`, caption, figure environment or invented key is present.
+
+## Gates, fallbacks and closeout
+
+**Open:** equation source recheck/typesetting; exact figure assets and provenance; crop/scale/profile encoding; caption; redraw/rendering/publication readiness; finite-image status labeling; amplitude-matched intervention; held-out endpoint/convergence qualification; wall-vorticity/separation diagnostics; closed same-control-volume momentum/mechanical-energy budget; force ownership and stability.  
+**Fallback:** endpoint/sign table plus concise outer boundary; if the composition is crowded, retain accepted CFD endpoint/profile, all three outer streamline states and the sign box as specified by the Figure Plan.  
+**Not used:** CFD, MFS generation, training, artifact generation, new numerical analysis, final-master assembly, thread recall, `mem_fs` or Working Memory. Durable memory was updated only with this approved coefficient/rounding decision after searching for an existing S8 record.
+## Citation integration closeout
+
+S08-P04 retains `Crowdy2006MultipleCylinders` where the irrotational impermeable multi-cylinder outer family is introduced and `UedaEtAl2003RotatingCylinders` where the distinct viscous rotating no-slip boundary is stated. The post-R5 integration adds `Mittal2001RotatingControlCylinders` for Reynolds-number, gap, rate and dimensionality dependence; `ChanEtAl2011CounterRotatingCylinders` for suppression-condition dependence and the boundary between potential-doublet resemblance and inviscid closure; `SierraEtAl2020RotatingCylinderBifurcations` for multiple viscous branches and bistability; and `Watson1996TwoRotatingCylinders` for low-Reynolds-number inner-Stokes/outer-Oseen matching. All six identities and keys are full-PDF verified and resolve to `../R5_REFERENCES.bib`. They support external mathematical and physical boundaries only; none verifies or explains the project endpoint, equation coefficients, fitted circulation, sign failure or finite-$Re_D=50$ mechanism.
+
+The inserted reader-facing passage adds **90 words**, within the assigned 85--125-word range. It is integrated immediately before the outer-reference closure question: the four sources establish why a deliberately restricted outer comparison is informative and why it cannot transfer parameters, identify a viscous branch or close the mechanism.
+
@@ -0,0 +1,94 @@
+# Section 9 Round-5 Audit — Author-Field Placeholder
+
+**Project/unit:** DynamisLab JFM, Round 5, persistent Unit E, Section 9 only.  
+**Writer agent ID:** `b238cc11-c57b-481f-922d-ae7c410171c0`.  
+**Output state:** `author-field placeholder complete; substantive experiment prose blocked`.  
+**Exclusions honoured:** no CFD, training, rendering, artifact generation, new analysis, apparatus inference, trial reconstruction or experimental claim. Section 10 is now drafted separately and imports no S9 result.
+
+## Preflight and controlling authority
+
+Read the canonical Unit-E packet, all R5 controls/ledgers/registry, current R4 global ledger/README/closeout audit, current R4 Sections 9 and 10, the Section-9 Figure Plan, and current R5 terminology/production/writing rules. Repository authority confirms that Section 9 remains an author interface: only visibly marked `AUTHOR FIELD` instructions are authorized. Candidate CelerisLab paths and manifests recorded in the R4 packet were treated as mapped/path-confirmed computational context, not as proof of physical execution or as located publication assets. No raw experiment media, physical deployment logs or author apparatus records were inspected or verified in this run.
+
+Three narrow Nowledge searches were used for navigation: (1) `DynamisLab JFM Round 5 Unit E Section 9 experiment placeholder author fields decisions`; (2) `DynamisLab JFM Section 9 experiment evidence provenance media command permission gates`; and (3) `DynamisLab JFM Round 5 Unit E registry stage next resume Section 10`. The recalled Round-4 Section-9/10 and Round-5-control records agreed with current repository controls; repository files controlled all operative decisions. No thread recall, `mem_fs`, Working Memory read, durable-memory write or update was used.
+
+## Paragraph evidence cards
+
+### S09-P01 — purpose, apparatus and execution
+
+- **Job:** reserve an author-owned purpose/apparatus/open-loop-execution paragraph.
+- **Claim ceiling:** instructions only; no apparatus fact, physical execution verb or deployability claim.
+- **Comparator/definition:** author must define the physical purpose and identify what was commanded, measured, imaged and synchronized.
+- **Internal authority/state:** R4 `SECTION_09_EXPERIMENT.md` and S9 Figure Plan, `read` for architecture; all physical facts remain `author-supply/provenance-gated`.
+- **Metric/estimand:** none.
+- **External role/state:** four close papers read at `full-PDF` for reporting order only; no reader-facing citation retained.
+- **Display/equation:** apparatus schematic remains gated; no equation.
+- **Local caveat:** code capability or a computational manifest cannot establish physical execution.
+- **Fallback/author field:** mark unavailable or omit dependent statement/section.
+- **Target/actual:** provisional 75–110 placeholder tokens; actual field is instructional rather than publishable prose.
+- **Status:** placeholder complete; author content open.
+
+### S09-P02 — provenance and comparator-led morphology
+
+- **Job:** reserve exact trial/media provenance followed by one author-supplied visible morphology observation per retained pair.
+- **Claim ceiling:** single-frame shape/location morphology only after provenance; no temporal/frequency, velocity/PIV, force, field matching, registration, agreement, validation, robustness or repeatability claim.
+- **Comparator/definition:** named condition and local comparator precede observation; experiment and CFD remain separate, unregistered realizations.
+- **Internal authority/state:** R4 S9 packet and Figure Plan, `read`; author-described media are only `mapped`, exact leaves not audited.
+- **Metric/estimand:** none; a single frame contains no temporal estimator.
+- **External role/state:** bounded full-PDF diagnosis supports comparator-before-observation and estimator-specific wording only.
+- **Display/equation:** all schematic/image panels and captions remain author/provenance/permission gated.
+- **Local caveat:** every retained view needs trial/case, raw path/hash, frame/step, view/scale, release, processing, selection/repeats and permission.
+- **Fallback/author field:** drop failing rows, then schematic, then entire figure/section; never reconstruct from manifests.
+- **Target/actual:** provisional 75–110 placeholder tokens; instructional only.
+- **Status:** placeholder complete; all evidence gates open.
+
+### S09-P03 — ceiling, confounds and next threshold
+
+- **Job:** reserve local confounds, the qualitative open-loop single-frame ceiling, and the next evidentiary threshold.
+- **Claim ceiling:** instruction naming what stronger evidence would require; no promised execution or result.
+- **Comparator/definition:** claim class determines threshold: synchronized, calibrated and repeated force measurement and/or PIV acquisition, as appropriate to the claim; repeated image sequences plus a declared temporal estimator for frequency claims.
+- **Internal authority/state:** canonical packet and R4 S9 quality gate, `read`.
+- **Metric/estimand:** absent unless later author supply and reopening define one.
+- **External role/state:** full-PDF reporting diagnosis only.
+- **Display/equation:** none owned; all media gated.
+- **Local caveat:** the threshold is a gate, not a future-results programme.
+- **Fallback/author field:** omission; no S9 result export to S10 without targeted provenance audit and explicit reopening.
+- **Target/actual:** provisional 75–110 placeholder tokens; instructional only.
+- **Status:** placeholder complete; author content and result import blocked.
+
+## Bounded literature diagnosis
+
+Undermind orientation and the DynamisLab workspace were inspected before reading four existing close papers at `full-PDF` state:
+
+1. Bhattacharyya et al., *Experimental investigation of three-dimensional modes in the wake of a rotationally oscillating cylinder*, JFM 950 A10 (2022), DOI `10.1017/jfm.2022.792`: §§1–3 and methods/results pages 4–8 support purpose → functional apparatus/actuation/acquisition → baseline comparator; 30-s spectra and 100–400-frame PIV, not a single frame, support frequency/velocity statements.
+2. Khan et al., *Flow past two rotationally oscillating cylinders*, JFM 969 A16 (2023), DOI `10.1017/jfm.2023.549`: §§2–3 separate visualization, PIV, hot-film and load-cell functions and place comparator definitions before morphology; spectra, phase averages and repeated force records carry temporal/quantitative claims.
+3. Klotz et al., *Influence of porous material on the flow behind a backward-facing step: experimental study*, JFM 998 A31 (2024), DOI `10.1017/jfm.2024.639`: §§2–4 distinguish instantaneous qualitative streakline views from PIV and ensemble spectral estimates and place acquisition uncertainty locally.
+4. Zhou et al., *Artificial intelligence control of a turbulent jet*, JFM 897 A27 (2020), DOI `10.1017/jfm.2020.392`: §§2, 4–6 order facility/actuation/sensing before estimator-defined performance and support temporal/performance statements with time-averaged sensing, spectra and repeated/spatial data rather than a single image.
+
+The sample-bounded diagnosis improved placeholder architecture only: apparatus fields are grouped by evidentiary function; acquisition/provenance precedes morphology; comparator precedes observation; captions own condition/acquisition/processing metadata; and stronger claim classes require named estimators. Literature supplied no DynamisLab fact, artifact, observation, permission, citation key or readiness decision.
+
+## Static content and gate audit
+
+- [x] Exactly three stable paragraph jobs are represented.
+- [x] Every paragraph begins with visible `AUTHOR FIELD` marking.
+- [x] TeX contains instructions, not manuscript factual assertions.
+- [x] No apparatus dimensions/facts, execution details, trial/case identities, command provenance, media provenance, morphology observation or result was filled.
+- [x] Single-frame prohibition explicitly covers temporal/frequency, velocity, force, field matching, agreement and validation.
+- [x] No fabricated `\cite`, `\ref`, `\label`, bibliography key, equation, value, figure call or final-master integration.
+- [x] S10 was drafted separately with no S9 observation, result or transition.
+- [x] Omission remains the strict fallback.
+
+## Current safe-assembly omission branch
+
+For the reader-facing sprint, the strict omission fallback is active: `sections/SECTION_09_EXPERIMENT_PLACEHOLDER.tex` remains an internal author interface and is excluded from the reader-facing master. Inclusion requires author-supplied content, targeted provenance audit and explicit reopening. Until then, no S9 observation or result enters S10. This assembly decision does not delete or alter the placeholder and closes none of its author, media, command, provenance or permission gates.
+
+## Counts and share
+
+Counting method: whitespace-delimited words in TeX after stripping TeX commands and comments, reported as control/placeholder text because none is admitted publishable prose. The static check records **0 substantive manuscript words** and **275 placeholder/control tokens** in the live ledger. Section 9 retains the provisional **3%** controlling share and illustrative 240–300-word range, but actual article share is not computable: no authorized article target exists and no other R5 actual total is complete. Unused S9 allowance remains contingency under the live-ledger rule.
+
+## Open author gates
+
+Purpose and final wording; facility/test-section/background state; geometry and boundaries; towing/carriage and imaging path; physical software entry point; command source, units, body order/sign/conversion and timing; commanded-versus-measured motion; synchronization; trial/case IDs, dates/setup version, conditions, repeats and selection rules; raw media paths/hashes; camera/view/FOV/scale/exposure/frame identity; dye/numerical release and processing; exact CFD counterpart mapping; apparatus schematic source/editable version; local confounds/calibration; permissions; exact morphology wording; caption approval; targeted provenance audit; coordinator reopening; any S10 import. All remain open. Fallback is omission of dependent media/observation or the entire section.
+
+## Disposition and next resume goal
+
+**Disposition:** Section-9 placeholder contract remains complete and statically auditable, but Section 9 remains `author-interface`, not manuscript prose or experimental evidence; the placeholder is omitted from the current reader-facing master. **Next resume goal:** retain omission through the S1/S10/global interface audit unless author supply, targeted provenance audit and explicit reopening authorize inclusion.
@@ -0,0 +1,121 @@
+# Section 10 Round-5 Audit — Discussion and Conclusions
+
+**Project/unit:** DynamisLab JFM, Round 5, persistent Unit E, Section 10.  
+**Writer agent ID:** `b238cc11-c57b-481f-922d-ae7c410171c0`.  
+**Output:** `sections/SECTION_10_DISCUSSION_CONCLUSION.tex`.  
+**Stage:** final reader polish complete; pending S1/S10/global interface audit.
+
+## Scope and authority
+
+The draft uses the frozen R4 Section-10 packet and current retained S2–S8 TeX/audits. S1 is now available for repetition/interface diagnosis, while retained S2–S8 continue to control scientific imports. Its contribution-ladder alignment remains deferred to the named final wave audit. The current safe assembly adopts the S9 omission branch: the author-field placeholder is excluded from the reader-facing master unless author supply, targeted provenance audit and explicit reopening occur. S10 imports no experiment observation, result or transition. The output is text-only and contains exactly three Discussion paragraphs followed by two short Conclusion paragraphs.
+
+Three narrow Nowledge searches were used for navigation in the drafting run: (1) `DynamisLab JFM Round 5 Unit E Section 10 discussion conclusion evidence order decisions`; (2) `DynamisLab JFM Section 10 no experiment Erase limitations citations values claim ceiling`; and (3) `DynamisLab JFM Round 5 S1 S10 global interface audit Unit E resume`. Recalled S9/S10, Unit-A interface and R5-control records agreed with current repository controls; repository TeX, audits and the R4 S10 packet controlled every imported meaning. No thread recall, `mem_fs`, Working Memory read or durable-memory write was used. This recovery performed no new research.
+
+## One-to-one paragraph evidence cards
+
+### S10-D01 — learned rotation and target-relative field
+
+- **Job:** distinguish repeated policy discovery from the direct target-relative Kármán velocity-field comparison.
+- **Claim ceiling:** repeated policy discovery in one configuration and target-relative field improvement in another; no pooled efficacy, robustness or configuration continuation.
+- **Comparator/definition:** repeated Kármán training realizations in the uniform/free-slip case; target, controlled and physical-zero registered fields in the parabolic/no-slip case.
+- **Internal authority/state:** current S2 definitions, S3 progression, S4 retained results/audits, and S1 for repetition diagnosis, `read`; final S1 interface deferred.
+- **Measurement meaning:** complete-cycle mean and phase-resolved velocity-field comparisons are retained without values; training outcome is stated separately.
+- **External citation role/state:** four close final sections read at `full-PDF` for hierarchy/compression only; no reader-facing citation.
+- **Display/equation dependency:** none.
+- **Local caveat:** the two configurations are not treated as one continuous data set.
+- **Fallback:** omit subordinate learning detail and retain the deep comparator ordering.
+- **Actual words/status:** 117; final reader polish integrated.
+
+### S10-D02 — rear rotation, mean deficit and centred residual
+
+- **Job:** relate persistent rear-cylinder counter-rotation to the mean streamwise deficit, constant-control field and centred velocity residual without identifying those objects.
+- **Claim ceiling:** persistent rear-cylinder rotation is an organizing component of the tested periodic control; no unique decomposition or mechanism.
+- **Comparator/definition:** persistent rear term versus tested modulations; passive mean deficit versus controlled-minus-passive field; zero-to-constant and constant-to-DRL scalar increments; separately centred, non-paired velocity residual.
+- **Internal authority/state:** current S5/S6 TeX and audits, `read`; their distinct source and comparison definitions are retained.
+- **Measurement meaning:** no value replay; the constant-to-DRL remainder belongs only to the scalar mean-field error increment, while the centred residual has no licensed magnitude ranking.
+- **External citation role/state:** full-PDF rhetoric diagnosis supports outcome-before-interpretation and adjacent boundaries only.
+- **Display/equation dependency:** none.
+- **Local caveat:** the residual is not called smaller and does not close the scalar mean-field accounting; the single non-equivalence boundary blocks a unique decomposition or mechanism.
+- **Fallback:** retain the rear-rotation, constant-control and centred-residual distinction; delete modal terminology first if further compression is required.
+- **Actual words/status:** 144; final reader polish integrated.
+
+### S10-D03 — changed wake definitions and steady context
+
+- **Job:** state what the Vortex and Illusion role fields show, then place persistent rear rotation beside the separate steady endpoint and failed inviscid closure.
+- **Claim ceiling:** event-relative Vortex execution/morphology and policy execution toward the Illusion target with morphology-consistent role fields; no scalar improvement, transferred Kármán law or mechanism.
+- **Comparator/definition:** event-relative Vortex target/controlled/physical-zero fields; non-zero Illusion target and role fields; prescribed rear rotation and steady low-deficit endpoint; outer circulation versus wall-spin closure.
+- **Internal authority/state:** current S7/S8 TeX and audits, `read`.
+- **Measurement meaning:** no Vortex or Illusion scalar is imported; only role-field morphology, endpoint context and the sign/closure failure are used.
+- **External citation role/state:** full-PDF rhetoric diagnosis supports local caveats and finishing Discussion on established physical context.
+- **Display/equation dependency:** none; S8 equations/figures are not repeated or called out.
+- **Local caveat:** persistent rotation is a useful kinematic coordinate, not a transferred control law or causal explanation; no S9 import.
+- **Fallback:** retain changed-task non-transfer and failed-closure boundary in compressed form.
+- **Actual words/status:** 136; final reader polish integrated; S9 omitted from safe assembly.
+
+### S10-C01 — strongest velocity-field answer
+
+- **Job:** state the strongest velocity-field result and locate Vortex/Illusion at their bounded execution/morphology level.
+- **Claim ceiling:** local Kármán target-versus-physical-zero registered-field result; Vortex event-relative execution and Illusion morphology without common scalar efficacy.
+- **Comparator/definition:** each learned task remains under its own definition; deep Kármán comparison retains target, controlled and physical-zero roles.
+- **Internal authority/state:** current S2–S8 retained meanings, especially S3/S4, `read`.
+- **Measurement meaning:** no value replay; registered velocity-field ordering only for Kármán.
+- **External citation role/state:** full-PDF diagnosis supports a shorter closing unit that adds no evidence.
+- **Display/equation dependency:** none.
+- **Local caveat:** Vortex and Illusion supply no common efficacy measure.
+- **Fallback:** omit the event-relative clause if the global interface requires further compression.
+- **Actual words/status:** 64; final reader polish integrated.
+
+### S10-C02 — physical interpretation and declared-reference close
+
+- **Job:** close on persistent rear-cylinder rotation, constant-control mean field and separately described centred velocity residual.
+- **Claim ceiling:** bounded physical organization; no universality, transfer or unrestricted law.
+- **Comparator/definition:** dominant tested surrogate term, constant-control mean field and centred velocity residual.
+- **Internal authority/state:** current S5/S6 meanings and frozen R4 S10 close, `read`.
+- **Measurement meaning:** action ranking, scalar mean-field increments and residual modes answer different questions.
+- **External citation role/state:** full-PDF diagnosis supports conceptual rather than value-bearing final sentence.
+- **Display/equation dependency:** none.
+- **Local caveat:** the final sentence retains the declared-reference ceiling.
+- **Fallback:** retain the declared-reference definition as the final sentence.
+- **Actual words/status:** 74; final reader polish integrated.
+
+## Bounded full-PDF diagnosis and integrated fix
+
+After the complete first draft, four existing papers in the DynamisLab workspace were resolved and read at `full-PDF` state for final-section rhetoric only: Deng et al., *Low-order model for successive bifurcations of the fluidic pinball*, DOI `10.1017/jfm.2019.959`; Cornejo Maceda et al., *Stabilization of the fluidic pinball with gradient-enriched machine learning control*, DOI `10.1017/jfm.2021.301`; Li & Zhang, *Reinforcement-learning-based control of confined cylinder wakes with stability analyses*, DOI `10.1017/jfm.2021.1045`; and Rabault et al., *Artificial neural networks trained through deep reinforcement learning discover control strategies for active flow control*, DOI `10.1017/jfm.2019.62`.
+
+The sample-bounded diagnosis supported functional paragraph separation, outcome before interpretation, present tense for established meanings, immediate caveat placement, compression without equations or values, and a shorter conceptual close. The first draft already followed these controls. One clear fix was integrated: D03 now describes the low-deficit endpoint as occurring **under** prescribed wall motion rather than saying the wall motion `produces` it, avoiding an unintended causal verb. Literature supplied no DynamisLab fact, claim, value, evidence, citation, display or readiness decision.
+
+## Reader-facing sprint correction
+
+The sprint reread S1, S5 and S6 solely to diagnose repetition and the residual/scalar collision; no new research or authority search was performed. The previous D02 phrase `the smaller residual` was incorrect because the reported 6.58% is the constant-to-DRL **scalar mean-field increment**, while the residual is separately centred and non-paired and has no licensed smaller-magnitude comparison. The revised D02 now separates those objects explicitly and adds the bounded interpretation that their compatibility identifies a recurring organizational coordinate without making surrogate terms, scalar increments and field modes identical. D01 and both Conclusion paragraphs were compressed to avoid replaying S1's ladder and S5/S6's local detail. No citation was added: S10's frozen contract prohibits new reader-facing citations, and the existing full-PDF identities are rhetoric records rather than repository manuscript keys.
+
+The current safe assembly also takes the S9 omission fallback. `SECTION_09_EXPERIMENT_PLACEHOLDER.tex` remains an internal author interface and is not included in the reader-facing master unless the author/provenance/reopening gate later passes. S10 therefore contains no experimental import.
+
+## Final reader polish
+
+The final pass replaced internal audit diction in the TeX with direct fluid-mechanical subjects: rear-cylinder counter-rotation, passive mean streamwise deficit, constant-control velocity field and separately centred velocity residual. Illusion is now limited to policy execution toward a declared non-zero target with morphology-consistent role fields; no scalar improvement or `establishes approach` wording remains. Repeated caveats were compressed into one action/field non-equivalence boundary in D02 and local scalar limits for Vortex/Illusion. No new research, fact, value, citation, equation or display was added.
+
+## Contract, content and TeX audit
+
+- [x] Exactly three Discussion and two Conclusion paragraphs, mapped one-to-one above.
+- [x] Paragraph order is Kármán learning/velocity field → rear rotation/mean deficit/centred residual → Vortex/Illusion/steady context → strongest velocity-field answer → bounded physical close.
+- [x] Only established S2–S8 meanings are imported; S1 was used only for repetition/interface diagnosis and remains for wave audit.
+- [x] No S9 observation, experiment result or experiment transition; the S9 placeholder is omitted from the current reader-facing master.
+- [x] No unfinished historical route, Erase result, gap inventory, limitations programme, future work, decisive test or third conclusion paragraph.
+- [x] No new evidence, result value, equation, display, table, figure/panel call, citation, `\cite`, `\ref`, `\label` or bibliography key.
+- [x] The single D02 non-equivalence boundary keeps action ranking, scalar mean-field increments and centred residual modes distinct.
+- [x] `Kármán` terminology and `action-correlated correction-field modes` are retained; internal chain labels are absent.
+- [x] D02 states that 6.58% belongs only to the scalar mean-field increment; the separately centred, non-paired residual is not called smaller or used to close that ledger.
+- [x] Illusion uses only policy-executed-toward-target and morphology-consistent wording; no scalar improvement or established approach is claimed.
+
+## Counts, share and gates
+
+Counting method: remove headings and TeX commands/braces, then count alphanumeric reader-facing prose tokens; there are no displayed equations or comments. Paragraph counts are D01 **117**, D02 **144**, D03 **136**, C01 **64**, C02 **74**, totalling **535 publishable prose words**. This lies within the live ledger's provisional 480–600 range and keeps the Conclusion shorter than the Discussion. The controlling S10 allocation remains **6%**. Actual article share and deviation are not computable until S1 and the complete article body are fixed; no prose was added to consume an illustrative allocation.
+
+S10 has no local artifact or bibliography dependency. Open interfaces remain: S1 contribution-ladder alignment, global duplication/terminology, article share/display burden, and confirmation that all imported S2–S8 meanings survive global edits. All S9 author/provenance/result-import gates remain open and unchanged; pending reopening, omission from the reader-facing master is the active assembly fallback.
+
+## Closeout and next goal
+
+Repository evidence was `read` at the current TeX/audit level; underlying artifacts remain owned by S2–S8 and were not re-audited. Literature was `full-PDF` for rhetoric only. No scripts beyond static counting/content checks, no CFD, training, artifact generation, evaluator run, new scientific analysis, master assembly or external write was performed.
+
+**Disposition:** S10 final reader polish is complete; the text-only synthesis is ready for the named interface audit, not yet a global or final pass.  
+**Next goal:** run the S1/S10/global interface audit after the retained S1 draft is available, checking the contribution ladder, established-result imports, duplication, terminology, total article share and display/equation burden without reopening S9 or artifact gates.
@@ -0,0 +1,35 @@
+# Wave interface audit — Sections 2–3
+
+**State:** completed and coordinator-approved on 2026-08-11  
+**Scope:** current `sections/SECTION_02_PROBLEM_METHOD_EVALUATION.tex` against current `sections/SECTION_03_CAPABILITY_PROGRESSION.tex`  
+**Ownership:** shared interface sidecar written by Unit A; no edit to the Unit-B Section-3 audit  
+**Disposition:** Unit A `S2–S3-interface-pass` only; no section pass, Unit-B stage change, global pass or artifact approval
+
+## Interface findings
+
+| Dimension | Current S2 export | Current S3 import/use | Finding and retained boundary | Status |
+|---|---|---|---|---|
+| Configuration and roles | Exact `parabolic-inflow/no-slip-wall channel configuration` and `uniform-inflow/free-slip-wall channel configuration`; target/reference, controlled, physical zero/uncontrolled and optional constant are distinct | S3 assigns steady and Illusion to uniform/free-slip and periodic Kármán to parabolic/no-slip; Kármán and preview paragraphs name target, controlled and physical-zero roles | Configuration ownership is explicit and no evidence is transferred. S3 opening `passive` is descriptive shorthand localized by exact role definitions in the case paragraphs; it does not create a pooled role. | PASS |
+| Metric semantics | DTW is complementary signal-level evidence; complete-cycle mean, eight-slot phase, event-relative, mean-only and steady endpoint/profile criteria are non-equivalent | S3 uses endpoint profiles for steady, separate mean and phase-8 for Kármán, literal event offset for Vortex and literal phase/role payloads for Illusion | No common efficacy score is formed. S3's rounded Kármán preview is attached separately to each named field estimand; Vortex has no scalar and steady is not called a periodic mean. | PASS WITH DOWNSTREAM GATES |
+| Reynolds convention | $Re_D=U_{ref}D/\nu$; uniform inlet speed for uniform inflow and bulk/mean inlet speed for parabolic inflow; inherited parabolic conversion gated | S3 prints no bare Reynolds label or inherited value | S3 does not bypass the unresolved historical $U_0$ centreline-versus-bulk/mean binding. | PASS |
+| Preview/detail ownership | S2 owns reusable definitions, roles, ROI/metric semantics and qualification ceiling | S3 owns capability viewing/progression and rounded/source-bound previews; S4 owns exact Kármán values and windows; S7/S8 own event and steady detail | S3 does not redefine S2 equations or narrate S4/S7/S8 detail. Preview prose remains subordinate to exact downstream owners. | PASS |
+| Bridge | S2 closes by licensing named, non-pooled case comparisons | S3 opens with four different declared-reference comparisons and closes by selecting Kármán for depth | The transition is continuous: definitions precede viewing, then S3 hands detailed Kármán evaluation to S4. No roadmap or performance conclusion is duplicated. | PASS |
+| Duplication | Configuration names, roles and metric distinctions are defined once for reuse | S3 repeats only the minimum local configuration/role/estimand labels needed to decode each comparison | Necessary local decoding is not duplicate method exposition. S3 contains no S2 solver, action-map, PPO-setting, ROI-equation, DTW-algorithm or qualification replay. | PASS |
+| Displays and caption burden | S2 method schematics/tables remain production-gated with prose fallbacks | S3 accepted two-figure choice is closed only at author-choice level; exact panels, source/provenance, crops, scales, captions and artwork remain open | Neither section relies on a rendered or approved artifact. Missing displays invoke recorded fallbacks and do not justify compensatory prose. | PASS WITH ARTIFACT GATES |
+| Claim ceiling | S2 defines method/evaluation and selected-observable qualification without performance | S3 previews bounded capability without cross-configuration equivalence, pooled efficacy, Vortex scalar, positive Illusion SR, steady mechanism or transfer | No interface sentence raises either section's frozen claim ceiling. | PASS |
+
+## Combined word balance
+
+The established static counting methods report S2 at **1,212 words** and S3 at **637 words**, for a combined S2–S3 total of **1,849 words**. Within the completed interface, S2 contributes **65.5%** and S3 **34.5%**. Against the non-authoritative 8,700-word planning denominator, the sections would contribute 13.9% and 7.3%, or 21.3% combined; these are diagnostic values, not actual article shares.
+
+The illustrative midpoint is 1,392 words for S2 plus 696 for S3, or 2,088 combined. The current interface is 239 words lower (−11.4%). The difference is accepted at this wave boundary: S2 remains within its 1,000–1,250 drafting envelope, while S3 is below its initial 800–1,000 envelope because production-gated panel/caption material is not narrated in prose. No padding, gated-display narration or budget transfer is authorized by this interface pass.
+
+## Gates retained
+
+- **S2:** exact control-run rows; selected policy/same-selection normalizer/target metadata; inherited parabolic Reynolds conversion; geometry and DRL schematics; configuration, metric and CFD tables; bibliography keys; production readiness.
+- **S3:** exact steady and composite panel source/provenance; Vortex offset/role leaves/evaluator; Illusion phase and physical-zero role; hashes, units, scales, crops, captions, artwork and rendering.
+- **Cross-interface:** Figure-1 decoding and every local caption must renew exact configuration, role and estimand semantics. No artifact is approved by prose or this audit.
+
+## Final disposition
+
+**PASS for the S2–S3 interface on the Unit-A side.** The current sections are consistent in configuration/role naming, metric semantics, Reynolds policy, preview/detail ownership, bridge and duplication control. Unit A may record `S2–S3-interface-pass`; S2 remains short of `section-pass`, Unit B remains at its independently recorded stage, and no global or artifact gate is closed.
@@ -0,0 +1,29 @@
+# S4–S6 interface and protected-centre wave audit
+
+**Date:** 2026-08-11  
+**Disposition:** **CONDITIONAL PASS** for the approved narrow findings. This audit does not grant section-pass or artifact readiness. Unit B retains S4 prose ownership; approved evidence/data reconciliation was integrated by its persistent writer.
+
+## Length and protected allocation
+
+Under the uniform Pass-3 method after targeted Unit-B reconciliation, the current total is **2,091 words** — S4 **851**, S5 **612**, S6 **628** — or **33.99%** of the 6,152-word substantive body. Earlier method-local snapshots are superseded for global comparison. The combined **44% allocation is reserved**, with an ordinary **42% lower protection floor**. Actual article share remains unresolved until the complete article. The short current count is not a license to pad prose or narrate unavailable displays.
+
+## Interface findings
+
+- **Acquisitions and estimands:** S4 PPO mean/phase L2, S5 standardized SR L2/native DTW, S5 40-step deletion, and S6 corrected four-role mean/residual/CCD objects remain separate. S4 and S5 reuse the same exact path-bound target and physical-zero field artifacts; PPO-controlled and SR-controlled field acquisitions have distinct paths and hashes. Coincident physical-zero values therefore reflect a shared comparator artifact, not independent agreement. No pooling, replication, validation or triangulation is claimed.
+- **S4 source units:** current wake-L2 authority binds S4 field errors to historical $U_0$ normalization and the retained trajectory window to $tU_0/D$. Article-wide $U_{ref}$ conversion remains unbound; dimensionless comparator-relative reductions are unchanged.
+- **S5 standardized DTW:** role-local `dtw_summary.json` and `metadata.json`, together with current SR pipeline authority, bind the rolling native value to historical window 30. The historical lag aligns the target and the six channel scores are averaged. S5 states this compactly and separates it from the 40-step shared-lag parent-relative deletion contract. Fitted lag is comparison metadata, not physical delay.
+- **S5 deletion:** remains parent-relative and noncausal; changed trajectories preclude necessity, sufficiency, uniqueness or mechanism claims.
+- **S6 mean windows:** targeted gate resolution found an unambiguous common role-local half-open slice `[480,840)` (360 retained boundaries) in all four current source `campaign.json` manifests. The current ROI summary binds those parent paths/hashes, `dynamic_increment.py::_dense_statistics` applies `start:stop` literally, and the authority catalog/checkpoint binds ROI manifest SHA256 `f7f6141042678e52314a4d8f76d589108da8e844c8ce504f8f523a6f88a17e73`. The dependent gate is **CLOSED** without changing values.
+- **S6 action coordinates:** current named CCD derivation, transformation code and strict schema bind same-boundary effective actions in counter-clockwise-positive native front/upper/lower order and native solver angular-velocity command units. The displayed orthonormal transformation is front $a_F$, rear-symmetric $(a_U+a_L)/\sqrt{2}$, rear-antisymmetric $(a_U-a_L)/\sqrt{2}$. The exact retained physical action mean is removed, then samples are empirically centred; no standardization or whitening is applied. This definition now appears beside first CCD use.
+- **S10-D02 handoff:** Unit E should replace `while the smaller residual is organized descriptively through action coordinates as` with `while the separately centred residual associated with the smaller constant-to-DRL scalar increment is organized descriptively through action coordinates as`; retain the fixed modal term and existing non-equivalence/noncausality. S10 was not edited by Unit C.
+- **POD boundary:** the same-object, same-rank, same-weight/domain “essentially the same tested rank-3 field subspace” statement remains licensed by current CCD claims/results/writing authorities; it grants action-coordinate association only, not superiority, uniqueness or causality.
+
+## Deferred production controls
+
+- Repository bibliography keys for S4–S6 candidates remain **OPEN**; no citation key was invented.
+- Display labels, callouts, caption wording, hashes, crop/scale, action extraction, bound S6 retained-window provenance, artwork and publication readiness remain deferred to the owning S4/S5/S6 audits.
+- Missing displays invoke recorded fallbacks; they do not justify prose expansion.
+
+## Conditional close
+
+Wave logic, ownership, estimand separation and protected allocation pass. Conditions retained: all owning display gates; S5 historical velocity/action extraction and PPO target reconciliation; S6 composite provenance; bibliography keys. Next action is coordinator review or a source-only gate closure, not prose padding.
@@ -0,0 +1,29 @@
+\documentclass[lineno]{JFM-FLM_Au}
+
+\usepackage{amsmath,amssymb,bm,booktabs}
+
+\title{Interpreting learned hydrodynamic cloaking and illusion in a fluidic pinball}
+
+% R5 review assembly only; not a submission master.
+% Review status is documented in README.md and is intentionally not rendered.
+\begin{document}
+\maketitle
+
+\input{../sections/SECTION_01_INTRODUCTION.tex}
+\input{../sections/SECTION_02_PROBLEM_METHOD_EVALUATION.tex}
+\input{../sections/SECTION_03_CAPABILITY_PROGRESSION.tex}
+\input{../sections/SECTION_04_KARMAN_RESULTS.tex}
+\input{../sections/SECTION_05_KARMAN_SR_LAW.tex}
+\input{../sections/SECTION_06_KARMAN_FIELD_CCD.tex}
+\input{../sections/SECTION_07_CROSS_CASE_EXTENSIONS.tex}
+\input{../sections/SECTION_08_STEADY_THEORY.tex}
+
+% SECTION_09_EXPERIMENT_PLACEHOLDER.tex is intentionally not input.
+% Current safe branch: no author-supplied, provenance-audited experimental prose is admitted.
+
+\input{../sections/SECTION_10_DISCUSSION_CONCLUSION.tex}
+
+\bibliographystyle{jfm}
+\bibliography{../R5_REFERENCES}
+
+\end{document}
@@ -0,0 +1,56 @@
+# R5 safe review master
+
+## Status and scope
+
+This directory contains a review-only assembly master, not a submission master. `R5_REVIEW_MASTER.tex` inputs the current Round-5 section files S1--S8 and S10 in numerical order. S9 is explicitly omitted under the active safe branch because its current file is an author-field placeholder and its substantive author/provenance gates remain open.
+
+The article title is the current provisional controlling title: *Interpreting learned hydrodynamic cloaking and illusion in a fluidic pinball*. It remains provisional and is not represented as author-final.
+
+Citation integration is now enabled from the R5-owned `../R5_REFERENCES.bib`. Only S1, S2, S5, S6 and S8 contain reader-facing external citations under the authoritative citation ledger; no source is used to support an internal result.
+
+## Inherited template mechanics
+
+The old `My_JFM/FLMguide.tex` was read only to identify mechanics. The new master inherits only:
+
+- the `JFM-FLM_Au` document class with the `lineno` option;
+- the preamble package set `amsmath`, `amssymb`, `bm` and `booktabs`;
+- the standard `\title`, `\begin{document}`, `\maketitle`, section `\input`, and `\end{document}` assembly pattern.
+
+The JFM support files remain at `../../My_JFM/JFM-FLM_Au.cls` and `../../My_JFM/jfm.bst`; they were neither copied nor edited. Compilation therefore uses `TEXINPUTS` to expose that template directory.
+
+## Excluded old content and metadata
+
+No manuscript prose, abstract, keywords, claims, equations, figures, captions, labels, citations, acknowledgements, declarations, author names, affiliations, correspondence details, ORCIDs, funding text, submission metadata, running titles or bibliography keys were copied from `My_JFM/FLMguide.tex`.
+
+No figure environments or references were added. Review-draft status and the safe-branch S9 omission are documented only in non-rendering master comments and this README; they introduce no typeset notice.
+
+## Bibliography state and integration
+
+The review master uses the JFM class citation commands (`\citep` in the section prose), `\bibliographystyle{jfm}`, and `\bibliography{../R5_REFERENCES}`. The bibliography is owned by Round 5 and contains only the externally needed sources approved in `../00_CITATION_CANDIDATE_LEDGER.md`; the legacy `../../My_JFM/jfm.bib` is not loaded.
+
+The JFM support files remain at `../../My_JFM/JFM-FLM_Au.cls` and `../../My_JFM/jfm.bst`. Compile from `master/` with `TEXINPUTS=../../My_JFM//:` so both the class and `jfm.bst` are discoverable; the bibliography database itself is reached by the explicit relative path `../R5_REFERENCES`.
+
+## Compile environment and command
+
+TeX discovery on 2026-08-11 found none of `latexmk`, `pdflatex`, `lualatex`, `xelatex`, `bibtex`, `biber` or `kpsewhich` on `PATH`. A full compile was therefore unavailable and only static preflight was run.
+
+Once a TeX distribution is available, compile from this directory:
+
+```bash
+cd docs/JFM_WYQ/ROUND5_BOTTOM_UP/master
+TEXINPUTS=../../My_JFM//: latexmk -pdf -interaction=nonstopmode -halt-on-error R5_REVIEW_MASTER.tex
+```
+
+If `latexmk` is unavailable but `pdflatex` and `bibtex` are available:
+
+```bash
+cd docs/JFM_WYQ/ROUND5_BOTTOM_UP/master
+TEXINPUTS=../../My_JFM//: pdflatex -interaction=nonstopmode -halt-on-error R5_REVIEW_MASTER.tex
+TEXINPUTS=../../My_JFM//: bibtex R5_REVIEW_MASTER
+TEXINPUTS=../../My_JFM//: pdflatex -interaction=nonstopmode -halt-on-error R5_REVIEW_MASTER.tex
+TEXINPUTS=../../My_JFM//: pdflatex -interaction=nonstopmode -halt-on-error R5_REVIEW_MASTER.tex
+```
+
+## Static preflight contract
+
+Static preflight checks the master structure, exact input order, explicit S9 omission, active R5 bibliography/style paths, exact citation-key resolution, existence of every input and template-support file, and absence of imported author/submission metadata. Static checks cannot establish class/package compatibility, font availability, overfull boxes, page layout, undefined control sequences or other runtime diagnostics; those remain compile-gated.
@@ -0,0 +1,89 @@
+# R5 review master static TeX preflight
+
+**Project / round / unit:** DynamisLab JFM / Round 5 / independent final static TeX preflight.  
+**Scope:** current `master/R5_REVIEW_MASTER.tex`, all ten files under `sections/`, and `R5_REFERENCES.bib`.  
+**Exclusions:** no section science edits; no edit to `My_JFM/FLMguide.tex`; no CFD, training, artifact generation, dependency installation or TeX compilation.
+
+## Overall status
+
+**STATIC PASS; RUNTIME COMPILE CONDITIONAL ONLY.** The current review master, section inputs and Round-5 bibliography pass every requested static check. The post-R5 citation integration is complete: all 49 active citation keys resolve and no legacy key remains. The bibliography contains 49 records, all cited, while the master activates the correct JFM bibliography style and R5 database path. The only remaining condition is engine-based compilation and warning inspection, which is unavailable because no TeX engine, BibTeX executable or TeX resolver is installed.
+
+No clear mechanical defect was found in `R5_REVIEW_MASTER.tex`, so neither the master nor section science was edited in this preflight.
+
+## Exact findings
+
+### PASS — inputs, order and Section 9 omission
+
+- The master has exactly nine active inputs in exact numerical order: S1, S2, S3, S4, S5, S6, S7, S8 and S10.
+- Every active `\input` resolves from `master/` to the named file under `../sections/`.
+- `SECTION_09_EXPERIMENT_PLACEHOLDER.tex` exists but is not actively input.
+- The master explicitly records both the S9 omission and its safe-branch reason.
+- The omitted S9 placeholder contains a `\subsection` but no top-level `\section`; omission avoids introducing orphaned section structure.
+
+### PASS — citation and bibliography integration
+
+Static inventory reports:
+
+- **49 bibliography entries, 49 unique keys** in `R5_REFERENCES.bib`;
+- **64 citation-key occurrences, 49 unique cited keys** across the section TeX;
+- **49/49 active-citation resolution:** every cited key exists in `R5_REFERENCES.bib`;
+- zero unresolved keys;
+- zero uncited bibliography entries;
+- zero duplicate bibliography keys;
+- zero legacy keys among active citations.
+
+The master has exactly these active bibliography commands:
+
+- `\bibliographystyle{jfm}`;
+- `\bibliography{../R5_REFERENCES}`.
+
+From `master/`, `../R5_REFERENCES` resolves to the current Round-5-owned `R5_REFERENCES.bib`. The legacy `My_JFM/jfm.bib` is not loaded. The JFM class loads `natbib` in author--year mode, providing the active `\citep` interface.
+
+### PASS — braces, environments and math delimiters
+
+A comment-aware Python scanner checked the master plus all ten section files, 11 TeX files total:
+
+- balanced unescaped `{...}` groups;
+- correctly nested and paired `\begin{...}` / `\end{...}` environments;
+- even unescaped `$` delimiter counts;
+- paired `\(...\)` and `\[...\]` math delimiters.
+
+Result: zero structural errors. All displayed `equation` environments close correctly; no environment mismatch or visible equation delimiter defect was found.
+
+### PASS — section and document ownership
+
+- Each admitted input S1--S8 and S10 owns exactly one top-level `\section`.
+- No admitted section owns `\documentclass`, document begin/end, bibliography style or bibliography database commands.
+- The master supplies one document wrapper and introduces no duplicate section wrapper.
+- The bibliography appears after S10 and before `\end{document}`.
+
+### PASS — class and support paths
+
+- `\documentclass[lineno]{JFM-FLM_Au}` is supported by `../../My_JFM/JFM-FLM_Au.cls` under the documented compile-from-`master/` `TEXINPUTS=../../My_JFM//:` assumption.
+- The class's `lineno` option requests `lineno-FLM`; `../../My_JFM/lineno-FLM.sty` exists.
+- `\bibliographystyle{jfm}` is supported by `../../My_JFM/jfm.bst` under the same `TEXINPUTS` assumption.
+- The class statically supplies author--year `natbib`; no manuscript-local citation command definition is needed.
+
+### PASS — no superseded citation condition
+
+The earlier condition that section citations used legacy keys and that bibliography integration was disabled is no longer true. It has been removed from this report. Current active-citation resolution and complete 49-entry integration are a PASS.
+
+## Runtime-only condition
+
+No executable was found for `latexmk`, `pdflatex`, `lualatex`, `xelatex`, `bibtex`, `biber` or `kpsewhich`. Therefore the only remaining gate is runtime compilation with the documented class/style search path and subsequent inspection of generated citation/reference warnings, class/package compatibility, fonts, line numbering, layout and bad boxes. No static defect presently predicts a compile failure.
+
+## Final gate
+
+- **Static TeX structure:** PASS.
+- **Input order and existence:** PASS.
+- **Safe S9 omission:** PASS.
+- **Braces/environments/math delimiters:** PASS.
+- **Active R5 citation resolution:** PASS, 49/49; zero uncited bibliography entries.
+- **Bibliography activation/path/style:** PASS.
+- **Master mechanical correctness:** PASS; no edit required.
+- **Section science:** untouched.
+- **Full runtime compile:** CONDITIONAL only because no TeX/BibTeX toolchain is available.
+
+## Evidence-use closeout
+
+This rerun used current repository files and robust static scripts. The current master, all ten section TeX files, R5 bibliography, JFM class and support-file paths were inspected. Nowledge was searched narrowly for navigation; repository files controlled the result. Working Memory, thread recall, `mem_fs`, literature search/PDF read, CFD, training, artifact generation and independent scientific verification were not used. This is a static TeX assembly audit, not a science or evidence audit.
@@ -0,0 +1,11 @@
+\section{Introduction}
+
+A hydrodynamic cloak seeks to make the flow around a body approach a declared background, while a hydrodynamic illusion seeks a declared non-zero substitute signature. Transformation optics established complementary routes to controlling linear fields through material design \citep{PendryEtAl2006Controlling,Leonhardt2006OpticalMapping}. Active source-based cloaking has also been formulated for specified linear equations \citep{Miller2006PerfectActiveCloaking,VasquezEtAl2009ActiveExterior}. In a distinct role, active constructions have retargeted exterior fields towards non-zero illusion signatures \citep{MaEtAl2013ActiveCloaking,LinEtAl2021ActiveAcousticIllusions}. These branches distinguish redirecting a field, generating compensation and prescribing a substitute signature. They assume linear governing relations and prescribed material or source responses, whereas a viscous wake evolves with the actuation and body-generated vorticity; their role here is conceptual rather than predictive. A multilayer hydrodynamic cloak in free flow has been reported \citep{ChenEtAl2024MultilayerHydrodynamicCloak}. Separated finite-Reynolds-number flow nevertheless poses a distinct problem even relative to active hydrodynamic-cloak formulations \citep{UrzhumovSmith2012ActiveCloaks}: nonlinear advection couples forcing to the evolving wake, no-slip bodies generate shear layers and separation, and viscosity and confinement alter the response. The attainable match depends on the declared target and comparison, especially when coherent shedding carries information beyond local measurements. We therefore consider controlled approach to a specified background or substitute wake, assessed beyond the control observations, rather than universal invisibility or exact cancellation in this setting.
+
+The desired outcome is an extended Navier--Stokes field, whereas actuation is confined to compact boundaries. The fluidic pinball---three independently rotating cylinders in channel flow---is a useful model because a small multi-input plant generates rich nonlinear wakes and admits established open- and closed-loop control studies \citep{DengEtAl2020PinballBifurcations,CornejoMacedaEtAl2021PinballControl,RaibaudoEtAl2020PinballControl}. Transient and post-transient pinball-force dynamics have been treated with reduced modelling \citep{DengEtAl2021PinballForceModel}, supporting integrated load as a useful intermediary between local rotation and the wake. Localized actuation can reorganize bluff-body shedding, and deep reinforcement learning has been applied to pinball force control \citep{FengWang2010SyntheticJetCylinder,FengEtAl2023PinballForceControl}. Conventional active flow control commonly asks how actuation changes shedding or integrated load. The present cloak/illusion objective instead adds a separately acquired reference and an extended-field test: neither scalar drag reduction nor force control establishes that the downstream velocity field approaches that reference. The resulting problem is whether three rotation commands can use force-mediated feedback to approach a declared hydrodynamic signature while leaving the downstream field independently testable.
+
+The difficulty increases when the reference contains periodic shedding, an incoming event or a non-zero target wake. Deep reinforcement learning has enabled closed-loop decisions in nonlinear flows under limited observations \citep{RabaultEtAl2019DRLFlowControl,ParisEtAl2021RobustFlowControl}, including rotating-cylinder actuation in towing experiments and simulations \citep{FanEtAl2020BluffBodyRL}. Related bluff-body work has framed learned active control as hydrodynamic stealth \citep{RenEtAl2021HydrodynamicStealthDRL}, although its observer metric is not the target-relative field comparison used here. Unlike a scalar optimization objective, reference following must distinguish what the controller observes from what is later evaluated. The present policy receives the two force components of each cylinder together with sparse downstream velocities. Integrated forces report body--flow interaction, while remote measurements sample the emerging wake; neither implies full observability. Sparse-probe utility is flow- and task-dependent, including sensitivity to Reynolds number and blockage \citep{LiZhang2022ConfinedWakeRL}. This interface motivates three tests: whether the policy realizes its objective, whether the velocity field approaches the target beyond the reward and sensor locations, and whether recurrent action and field structures can be reduced to forms that remain checkable in closed-loop execution.
+
+These tests define a layered analysis. Learned execution is first assessed within each case's own configuration, target roles and temporal coordinate. The periodic K\'arm\'an cloak is then evaluated independently by registering target, controlled and physical-zero velocity fields, while temporal signal comparison remains complementary rather than a substitute for field agreement. On the action side, symbolic regression compresses the policy into a candidate control law tested by closed-loop deployment, following the principle that readable learned feedback should be judged in execution \citep{GautierEtAl2015ClosedLoop,CornejoMacedaEtAl2021PinballControl}. Section~5 distinguishes this post-hoc policy-map regression from direct genetic-programming control and sparse dynamical-system identification \citep{LiEtAl2017GeneticProgrammingControl,BruntonEtAl2016SINDy}; PySR is the symbolic-regression implementation \citep{Cranmer2023PySR}, not evidence that the resulting expression controls the flow. This distinction prevents a compact expression from being promoted from representation to explanation before deployment. On the field side, the persistent mean response is separated from a centred residual, and action-correlated correction-field modes describe organization without assigning causality. Sparse-to-field and reduced-order precedents motivate separating online information from fuller-state interpretation \citep{LoiseauEtAl2018SparseROM,LiEtAl2022FlowEstimation}. The action and field analyses answer different questions and do not validate one another.
+
+We therefore ask whether force-plus-sparse-observation rotational control can approach declared cloak and illusion references under separately specified channel-flow formulations, and how far the periodic K\'arm\'an cloak can be evaluated and interpreted. Rotational feedback was executed for the periodic K\'arm\'an cloak, the non-zero Illusion target and the event-relative Vortex case; only K\'arm\'an supports a target-relative field-proximity claim, while Illusion and Vortex provide execution and morphology evidence. For Erase, the available target and comparator roles do not yet permit the same performance comparison. Registered target, controlled and physical-zero fields show improved target proximity for the periodic K\'arm\'an cloak in the parabolic-inflow/no-slip-wall channel configuration. Closed-loop action-law tests further identify a K\'arm\'an control skeleton: dominant persistent rear-cylinder rotation accompanied by a smaller dynamic correction, with the associated field organization described by action-correlated modes. This deeper account is possible for K\'arm\'an because policy execution can be followed through registered field comparison, executable law reduction and organized mean and residual fields. The separate steady analysis instead shows that the corresponding inviscid closure fails, and does not extend the learned periodic result. The next section defines the configurations, actuation, observations, target roles and independent evaluation criteria used to keep these comparisons distinct.
@@ -0,0 +1,58 @@
+\section{Problem formulation, control framework and evaluation}
+
+\subsection{Flow configurations and numerical method}
+The controlled body is a two-dimensional fluidic pinball comprising three circular cylinders of diameter $D$. A front cylinder is followed by upper and lower rear cylinders, and all three rotate independently. Streamwise and transverse coordinates are $(x,y)$, and the computational body order is $(F,U,L)=(\text{front},\text{rear}_{y+},\text{rear}_{y-})$. Lateral confinement bounds cross-stream motion and provides a repeatable environment in which rotation can alter the integrated forces and wake. Two channel configurations are used for different parts of the study. The parabolic-inflow/no-slip-wall channel supplies the periodic K\'arm\'an field comparison and the detailed action- and field-side analyses. The uniform-inflow/free-slip-wall channel supplies the broader controlled cases and the separate steady analysis. Their results are interpreted within their own physical and numerical settings rather than combined as realizations of one plant. A case-dependent upstream disturbance or target body defines the requested wake, with its dimensions specified for that case.
+
+Velocities are normalized by a configuration-specific reference speed $U_{ref}$, lengths by $D$, and time by $D/U_{ref}$. The article-wide Reynolds number is
+\begin{equation}
+ Re_D=\frac{U_{ref}D}{\nu},
+ \qquad U_{max}\simeq 1.5U_{ref}\quad\text{for parabolic inflow},
+\end{equation}
+where $\nu$ is the kinematic viscosity. For uniform inflow, $U_{ref}$ is the inlet speed; for parabolic inflow, it is the bulk/mean inlet speed. This distinction matters when comparing inherited case labels: a label based on $2D$ can be halved only if its velocity scale is also $U_{ref}$. Historical parabolic records do not always identify $U_0$ as centreline or bulk/mean speed, so no physical Reynolds number is inferred from such labels here. Both configurations are advanced with a D2Q9 lattice-Boltzmann method using multiple-relaxation-time collision and curved moving-body treatment. Inlet, lateral-wall and outlet implementations follow the stated configuration. The detailed K\'arm\'an analyses use data from the parabolic/no-slip realization, whereas the control formulation described next is implemented in the uniform/free-slip configuration; no numerical equivalence between the two implementations is assumed.
+
+\subsection{Rotational actuation, observations and PPO training}
+For a radius vector $(r_x,r_y)$ measured from a cylinder centre, angular velocity $\omega$ imposes the wall velocity
+\begin{equation}
+ (U_w,V_w)=(-\omega r_y,\omega r_x),
+ \qquad s_i=\frac{\omega_iR}{U_{ref}},
+\end{equation}
+where $R=D/2$, positive $\omega$ is counter-clockwise, and $s_i$ is the nondimensional surface-speed command for cylinder $i\in\{F,U,L\}$. The historical symbolic-regression records use $\alpha_i=\omega_i/U_0$ instead. The two descriptions are related by $s_i=\alpha_iR(U_0/U_{ref})$ and coincide as $s_i=\alpha_iR$ only when $U_0=U_{ref}$. Thus $\alpha_i$ is not dimensionless unless a radius-one convention is also specified. In the canonical control formulation, the policy commands rotation without a preset steady-derived bias, and successive commands are smoothed before application. This choice defines the computational interface; it is not a comparison of bias strategies or a map to an experimental actuator. Prior pinball work has treated force dynamics with reduced models and used learned control for force objectives \citep{DengEtAl2021PinballForceModel,FengEtAl2023PinballForceControl}. This motivates integrated force as a compact actuation-coupled signal, without making it a downstream-field measure.
+
+The observation vector contains the two force components of each cylinder and both velocity components from three circular wake probes. The probes are centred $10D$ downstream of the signature source at $(y-y_0)/D=0,\pm2$ and have radius $0.25D$. Each probe contributes area-averaged streamwise and transverse velocity. Forces and wake velocities describe complementary aspects of the controlled flow: periodic loads can carry phase information, while sparse wake measurements provide downstream coordinates \citep{NairEtAl2021PhaseFlowControl,MarraEtAl2024ActuationManifold}. The centre probe is intended to sample coherent-shedding phase, and the off-centre pair to sample lateral deflection and alternating cross-wake motion. Comparable downstream sensing has been used to characterize and control fluidic-pinball wakes \citep{RaibaudoEtAl2020PinballControl,CornejoMacedaEtAl2021PinballControl,LiEtAl2022FlowEstimation}; sparse wake information is also physically accessible in other wake-sensing settings \citep{BeemTriantafyllou2015WakeSensing}. These precedents motivate the measurement classes, not the exact present geometry.
+
+Sensor placement is inseparable from its use and from the time scales carried by the chosen observable. In periodic wakes, a phase-bearing signal can encode dominant shedding dynamics in the regime for which its model is constructed \citep{GongEtAl2020VortexEstimation}. For feedback, however, moving a sensor downstream can increase developed-wake information while also increasing convective lag, so a location that is effective for estimation need not be best for closed-loop control \citep{JinEtAl2022SensorActuatorPlacement}. Sparse instantaneous measurements can be augmented with temporal histories, but such lifting increases input dimension and redundancy \citep{WangEtAl2024DynamicFeatureDRL}. These results motivate retaining spatially distributed and temporally resolved information, but do not choose the present geometry. The three-probe arrangement is consequently a compact wake monitor rather than a claim of optimal placement or full observability. Solver averaging, fixed physical pre-scaling and online observation whitening are applied as distinct operations. Because whitening parameters form part of the policy input map, evaluation uses the normalizer saved with the selected policy.
+
+PPO updates a stochastic policy by maximizing a clipped surrogate objective relative to the preceding policy \citep{SchulmanEtAl2017PPO}. Clipping limits the incentive for a large policy change, but does not guarantee convergence or successful control. The canonical network has two hidden layers of 64 units with sinusoidal activation. Training uses 2048-step rollouts, batches of 64, ten update epochs, discount factor $0.995$ and learning rate $3\times10^{-4}$. These settings specify the reusable canonical training procedure. Reproducing an individual trained policy additionally requires its selected checkpoint, matching normalizer, target signals and run-specific objective settings; the canonical defaults alone do not determine that policy.
+
+\subsection{Target construction and online objective}
+Every comparison distinguishes how its signals and fields are acquired. The target or reference is the wake requested by the case; controlled denotes the trajectory generated with the policy; physical zero or uncontrolled denotes an independently acquired zero-rotation flow; and constant denotes a separately acquired fixed-actuation comparator where one exists. A cloak target is a declared background flow, whereas an illusion target is a separately generated non-zero wake, including a target-body acquisition when required. The target trajectory and the physical-zero trajectory therefore play different roles even when both contain no policy actuation. Target-body size and upstream geometry are specified case by case so that the requested signature is not silently transferred between configurations.
+
+During control, the policy minimizes discrepancies in the same compact information space that it observes. We write the online objective as
+\begin{equation}
+ \mathcal{J}_{online}=w_F\,\mathcal{D}_F(\mathbf F,\mathbf F_t)
+ +w_S\,\mathcal{D}_S(\mathbf q,\mathbf q_t),
+\end{equation}
+where $\mathbf F$ collects the selected body-force components, $\mathbf q$ contains the six probe velocities, and subscript $t$ denotes the corresponding target signal. The force and sensor terms allow rotation to respond both to the body's integrated interaction with the flow and to the developing wake. Their channel aggregation, normalization, orientation and weights are selected for each case. Because this objective samples forces and three wake regions rather than the complete velocity field, reward improvement establishes signal-space execution only. Field matching is tested separately.
+
+\subsection{Independent signal- and field-level evaluation}
+Dynamic time warping (DTW) uses dynamic programming to find a minimum-cost monotone path through the pairwise discrepancies of two sampled sequences \citep{SakoeChiba1978DynamicProgramming,Muller2015FundamentalsMusicProcessing}. Declared endpoint, window and step constraints permit limited local time reparameterization without reducing the comparison to a single global phase shift. For each result, we state whether DTW is a distance or higher-is-better similarity, whether channels are native or normalized, and the time window, scaling, aggregation and path constraints. These conventions are project-specific rather than supplied by the generic DTW references. Because excessive warping can hide timing errors, DTW is not interpreted as a physical delay, causal relation, observability test or field-equivalence measure.
+
+Field agreement is evaluated over a registered downstream rectangle,
+\begin{equation}
+ \Omega=\left\{(x,y):-6\leq\frac{x-x_s}{D}\leq14,
+ \quad\left|\frac{y-y_0}{D}\right|\leq5\right\},
+\end{equation}
+where $x_s$ is the sensor-plane streamwise location and $y_0$ is the channel centreline. For $r\in\{\text{controlled},\text{physical zero}\}$, the complete-cycle mean-field error is
+\begin{equation}
+ E_{mean,r}=\left[\frac{1}{|\Omega|}\int_{\Omega}
+ \frac{\|\overline{\mathbf u}_r-\overline{\mathbf u}_t\|_2^2}{U_{ref}^2}
+ \,\mathrm d\Omega\right]^{1/2}.
+\end{equation}
+The fixed $20D\times10D$ region is registered to the sensor plane and centreline so that each role is compared over the same downstream extent. Saved fields do not preserve solver-exact masks, however, so the comparison uses a geometry guard rather than claiming an exact common-fluid mask. A comparator-relative reduction is formed only when target, controlled and physical-zero fields share the same acquisition definition, region, weighting, normalization and averaging window.
+
+The same spatial error is evaluated at eight canonical phase slots for the periodic K\'arm\'an case. Each role is phased independently from its own centre-probe transverse velocity, and each slot uses the nearest saved snapshot. The resulting phase diagnostic samples one canonical cycle; it is not a repeated-cycle ensemble or an unrestricted phase optimization. Other cases require different temporal coordinates: Vortex uses offsets from a declared event, Erase admits a mean-field comparison only when its roles are resolved, and the steady analysis uses a late field or profile. These quantities are not pooled because they answer different physical questions. DTW measures temporal signatures close to the controller's information space, whereas mean and phase errors interrogate the extended velocity field. Either can improve without the other, making their separation central to the evaluation.
+
+\subsection{Compact CFD qualification}
+The numerical method is assessed through selected observables in two CelerisLab benchmark configurations. In the rotating-cylinder Kan99b K2 case, Strouhal number, mean drag and force-fluctuation amplitudes lie within their prescribed bands. The mean-lift sign differs because the CFD and comparison conventions use opposite force directions, so the overall K2 comparison remains a \emph{partial pass} despite the conventional origin of that sign difference. In the confined-cylinder Sah04 S2 case, the Strouhal number meets its prescribed band. Only these two completed simulations enter the qualification. They support the named frequency and force observables under their benchmark conditions, but do not assess PPO training, target construction, symbolic regression, correction-field interpretation or hydrodynamic cloaking.
+
+With the configurations, controller interface, target roles and independent measures defined, the following sections compare the controlled cases without combining results across configurations or treating signal and field agreement as interchangeable.
@@ -0,0 +1,13 @@
+\section{From steady cloaking to wake retargeting}
+
+Rotational control is considered through four comparisons of increasing temporal and target complexity: an approximately steady uniform profile, a periodic K\'arm\'an street, an isolated-vortex event and a non-zero wake target. Because the configuration, clock and measure change between cases, their ordering describes a progression of control tasks rather than a common performance ranking. The steady case asks whether a simple downstream profile can be recovered. K\'arm\'an cloaking then makes the desired wake periodic, the Vortex case replaces phase by an event-relative coordinate, and Illusion changes the desired wake itself.
+
+The steady case uses the uniform-inflow/free-slip-wall channel configuration. At $x/D=10$, the controlled endpoint follows the uniform target more closely than the stationary pinball in both velocity components: the streamwise profile approaches the uniform level and the transverse departure is reduced. This comparison concerns one downstream profile at one endpoint, not a periodic mean or full-field identity. It establishes neither optimality nor stability or mechanism. The actuation magnitude, settling behaviour and physical interpretation are treated with the steady-flow evidence later; here the result provides the simplest instance in which rotation moves measured velocity components towards the target.
+
+Periodic K\'arm\'an cloaking provides the most complete comparison. In the parabolic-inflow/no-slip-wall channel configuration, the target, frozen-policy controlled and physical-zero roles define the alternating-street problem. For both the complete-cycle mean and the separate eight-phase comparison, the controlled downstream velocity field is closer to the target than physical zero, with a dimensionless error reduction of approximately 82\% in each case. The velocity errors are normalized by the simulation speed $U_0$ used in these data. Its relation to article-wide $U_{ref}$ remains unresolved, but no conversion is needed for either relative reduction. Reward and visual resemblance do not establish the field result; Section~4 separates the mean, phase, signal and action comparisons in detail.
+
+The Vortex case removes periodic phase and instead compares the target, controlled and physical-zero flow morphology at one event-relative coordinate. At that instant the three fields describe how the wake is organized relative to the passing vortex. Without a field-error scalar, one snapshot cannot establish event evolution or improvement over physical zero. The comparison is therefore morphological: it extends the progression from a repeating wake to an isolated interaction while leaving quantitative event response to the cross-case analysis.
+
+Illusion changes the desired field rather than only its temporal coordinate. In the uniform-inflow/free-slip-wall configuration, one acquisition contains the $0.75L_0$ non-zero target, the seed-43 PPO-controlled trajectory and the physical-zero trajectory under the same sampling and phase procedure. The policy was executed toward that non-zero target, and the controlled morphology at the common literal phase is consistent with wake retargeting. Without a scalar field comparison, this morphology does not establish approach to the target or improvement over physical zero. It also neither constructs a target action nor revives the negative Illusion symbolic-regression result.
+
+The progression therefore changes one principal feature at a time: the target evolves from a uniform background to a periodic street, the temporal coordinate changes from phase to an isolated event, and the target finally becomes a different non-zero wake. K\'arm\'an cloaking receives detailed treatment because it combines repeated learning histories with target, controlled and physical-zero fields, sparse downstream signals and applied rotations. This broader set of comparisons does not make K\'arm\'an representative of the other tasks. It instead permits two bounded questions: over which tested K\'arm\'an conditions were high-performing policies found, and how closely did the controlled wake approach its target?
@@ -0,0 +1,23 @@
+\section{K\'arm\'an-wake cloaking}
+
+\subsection{Learning across tested K\'arm\'an conditions}
+
+The uniform-inflow/free-slip-wall series samples $Re_D=30$, 50, 100 and 200 and disturbance-radius ratios 0.75, 1.0, 1.5 and 2.0. These discrete points delimit the tested conditions; they do not define a continuous Reynolds-number or geometry law. Only the $Re_D=50$ reference condition has five stochastic training realizations, whereas each other condition has one deterministic policy demonstration. The two outer disturbance-radius cases also used a learning rate of $10^{-4}$ instead of $3\times10^{-4}$, so their differences cannot be attributed to geometry alone. Reward and six-sensor dynamic-time-warping (DTW) similarity are reported as separate, higher-is-better quantities: reward measures the learned objective, whereas DTW measures similarity of the selected downstream signals. Neither is treated as a fitted trend or combined score.
+
+The condition series compares one deterministic policy at each tested condition, whereas the learning histories show how five stochastic searches developed at the reference condition. They are not paired before-and-after observations. At $Re_D=50$, all five 500-iteration histories progress from low reward to high-performing checkpoints. Their best rewards are 0.9266, 0.9302, 0.9160, 0.9222 and 0.9412, reached at iterations 471, 315, 360, 465 and 447, respectively. High-performance policy discovery therefore recurred in all five tested realizations rather than depending on a single selected run.
+
+The recurrence applies to these five searches only: it provides no uncertainty for other seeds or hyperparameters and establishes neither asymptotic convergence nor closed-loop stability. The deterministic policy used for the condition comparison is one deployment drawn from this set, not a sixth realization or a continuation of training reward. Moreover, high reward establishes success under the online objective, which combines force and sparse downstream-signal terms; it does not by itself establish proximity of the downstream velocity field.
+
+That distinction also separates the condition survey from the field analysis below. The survey uses the uniform-inflow/free-slip-wall configuration, whereas the detailed reference wake uses a parabolic-inflow/no-slip-wall configuration. Their numerical case labels therefore do not supply a common physical Reynolds number. The field comparison instead asks directly whether the controlled wake approaches its target in the velocity field and downstream signals.
+
+\subsection{Fields and trajectories in the reference wake}
+
+In the parabolic-inflow/no-slip-wall reference wake, the target, frozen-PPO controlled and physical-zero roles define the field comparison. The controlled wake reproduces the target's alternating organization more closely than the physical-zero pinball. These roles are separate trajectories in the same physical configuration, not paired realizations of one trajectory. Section~5 uses these same target and physical-zero fields to compare symbolic-regression control, but its controlled trajectory is different from the PPO-controlled trajectory here. Coincident target and physical-zero values therefore come from shared comparator fields, not independent agreement between the two controllers.
+
+The complete-cycle mean tests the persistent velocity organization after periodic variation has been averaged out. With velocity normalized by the simulation speed $U_0$ used in these data, its error is $E_{mean}^{(U_0)}=0.085771$ for the controlled wake and $0.475206$ for physical zero, giving a zero-relative reduction of 0.819508. Thus the mean controlled field lies substantially closer to the target over the registered $20D\times10D$ downstream region. The result applies to this downstream region, which lies beyond the solid geometry; without a saved solver-exact fluid mask it is not a claim of pointwise identity throughout the domain.
+
+The eight-slot diagnostic retains periodic organization instead of averaging it away. It gives $E_{phase8}^{(U_0)}=0.112680$ for controlled and $0.630878$ for physical zero, a zero-relative reduction of 0.821392. Each slot is the nearest saved snapshot after the target, controlled and physical-zero trajectories have been phased independently; the slots are not repeated-cycle ensembles and no global phase minimization is applied. The mean and phase comparisons give the same target-relative ordering but are not replicate measurements or uncertainty estimates. Both use $U_0$, so their relative reductions are dimensionless even though the relation between $U_0$ and article-wide $U_{ref}$ remains unresolved.
+
+Sparse downstream observations provide a complementary trajectory-level comparison. Target-normalized six-channel DTW similarity is 0.932899 for controlled and 0.625127 for physical zero; unlike spatial error, a larger value denotes closer signal evolution. DTW does not imply full-field equivalence, but its ordering is consistent with the smaller controlled spatial errors. Over samples 96--145, corresponding to $tU_0/D=38.4$--58.0 in the simulation scaling and approximately three target cycles, the centre-sensor trajectory shows the repeating downstream response while the three applied PPO rotations show the simultaneous periodic actuation. The target has no action trajectory, so no target-action surrogate is inferred.
+
+Together, the condition survey and learning histories show repeated policy discovery over the tested training set, while the reference-wake analysis shows target-relative proximity in mean fields, phase-resolved fields and sparse signals. These results imply neither mechanism nor a universal optimal law. Similar numbers in the later symbolic-regression or correction-field analyses do not provide validation because those calculations use different controlled trajectories and measures. The remaining control-side question is whether the periodic action produced by the neural policy can be represented by a compact executable law.
@@ -0,0 +1,37 @@
+\section{A compact control law for K\'arm\'an cloaking}
+
+The compressed action has a simple physical organization: the rear cylinders maintain persistent counter-rotation, rear-lift feedback modulates this background motion, and the front cylinder receives a weaker drag-asymmetry correction.  The question is whether this organization can replace the PPO policy with an executable observation-to-action surrogate for the same periodic K\'arm\'an cloak in the parabolic-inflow/no-slip-wall channel configuration.
+
+Direct symbolic controller search evaluates explicit feedback expressions in the control loop, as in genetic-programming studies of separation and vibration control \citep{GautierEtAl2015ClosedLoop,DebienEtAl2016GeneticProgrammingRamp,RenEtAl2019MachineLearningVIV}.  Comparisons of compact genetic-programming laws and neural policies also separate readability from executed behaviour \citep{CastellanosEtAl2022FewSensorMLControl}.  By contrast, sparse identification of nonlinear dynamics (SINDy) identifies parsimonious dynamical equations from data \citep{BruntonEtAl2016SINDy}, while SINDy-RL learns sparse dynamics and reward models jointly with a policy \citep{ZolmanEtAl2025SINDyRL}.  Both address different mathematical objects from a fixed-policy map for the present controlled wake problem.
+
+Here symbolic regression was applied after PPO training to recorded state--action trajectories, making the expression a fixed-policy map rather than a directly searched controller, identified wake equation or jointly learned reinforcement-learning model.  PySR supplies the search method and software identity \citep{Cranmer2023PySR}, not evidence of control.  Each post-step state at index $i$ was paired with the PPO action at $i+1$.  Agreement on PPO-visited states is an offline diagnostic; after deployment, the surrogate chooses its own actions and visits a different trajectory.  Closed-loop execution against the target is therefore the relevant test, and the cited methods do not validate the present map or its performance.
+
+Before specifying the coefficients, we impose a reflection organization consistent with the centreline-symmetric geometry and cloaking objective.  For a measured state $x$, $Gx$ denotes its centreline-reflected state: upper and lower sensor values are exchanged, streamwise velocity is unchanged, transverse velocity changes sign, front drag is unchanged, front lift changes sign, and the upper and lower force pairs are exchanged with drag even and lift odd.  For actions ordered as front, upper rear and lower rear, the corresponding action map is
+\begin{equation}
+ G_\alpha(\alpha_F,\alpha_U,\alpha_L)=(-\alpha_F,-\alpha_L,-\alpha_U),
+ \qquad
+ \alpha_F(x)=\frac{h_F(x)-h_F(Gx)}{2},\quad
+ \alpha_U(x)=h_R(x),\quad
+ \alpha_L(x)=-h_R(Gx).
+\end{equation}
+The front action is odd, while the rear actions share one mirrored generator.  This construction replaces three separately parameterized heads with an odd front head and one rear generator.  The reflection map was imposed on the surrogate after the PPO trajectories had been collected; it is not evidence that the PPO policy or controlled plant is reflection-equivariant.
+
+The law uses signed native solver forces in the streamwise and transverse coordinate directions, so positive lift is the positive-$y$ force.  For cylinder $i$, the fitted inputs are $C_{d,i}=2f_{x,i}/(\rho U_0^2D)$ and $C_{l,i}=2f_{y,i}/(\rho U_0^2D)$, with $\rho=1$ in the retained lattice data.  Thus $C_{d,\mathrm{rear},a}=(C_{d,U}-C_{d,L})/2$ and $C_{l,\mathrm{rear},s}=(C_{l,U}+C_{l,L})/2$.  Within this imposed action space, the executable map is
+\begin{equation}
+ \alpha_F=\operatorname{odd}(-0.381391\,C_{d,\mathrm{rear},a}),\qquad
+ \alpha_U=1.307782\,C_{l,\mathrm{rear},s}-3.431209,\qquad
+ \alpha_L=-\alpha_U(Gx),
+\end{equation}
+where $\operatorname{odd}$ denotes $f(x)\mapsto[f(x)-f(Gx)]/2$.  The constant $-3.431209$ sets the persistent upper-rear rotation and, through reflection, the opposite lower-rear rotation.  Rear-mean lift adjusts this pair, while rear drag asymmetry supplies the front correction.  These terms describe the surrogate action, not a governing law for the fluid.
+
+The historical output is $\alpha=\omega/U_0$, and deployment applies $\omega=\alpha U_0$; hence $\alpha$ has inverse-length units in dimensional notation.  The corresponding surface-speed command is $s=\omega R/U_{ref}=\alpha R(U_0/U_{ref})$.  It cannot be reduced to $s=\alpha R$ because the historical parabolic source does not establish $U_0=U_{ref}$.
+
+Closed-loop execution tests whether the compact action remains useful away from PPO-visited states.  This deployment test is also the selection boundary: expression simplicity and offline action fit can nominate a readable map, but only the executed surrogate determines the trajectory on which its control performance is measured.  No external controller-search or sparse-identification result supplies that evidence for this case.
+
+In the reference run, 480 control intervals were used to establish the trajectory, followed by 160 recorded post-step boundaries spanning eight complete cycles.  The mean native dynamic-time-warping (DTW) similarity was $0.942357$, where higher is better.  This rolling comparison uses a 30-boundary window: one circular lag is applied before the six channel scores are averaged.  The lag aligns signals for comparison and is not a physical delay.
+
+The same run also supplies two spatial comparisons with the same-case target and physical-zero trajectories from the shared acquisition lineage.  Both errors are two-component velocity RMS differences over the geometry-guarded downstream region, normalized by the historical inlet scale $U_0$: $E_{\mathrm{mean}}$ compares complete-cycle arithmetic mean fields, whereas $E_{\mathrm{phase8}}$ is the RMS over eight independently phase-referenced nearest-boundary snapshots.  The values were $E_{\mathrm{mean}}=0.125404$ for SR and $0.475206$ for physical zero, and $E_{\mathrm{phase8}}=0.156040$ for SR and $0.630878$ for physical zero.  The surrogate-controlled wake is therefore closer to the target under both measures.  Each phase entry is the nearest saved snapshot on a phase coordinate determined separately for that flow, and the region has no stored solver-exact mask.  These SR-run values answer a different question from the independently recorded PPO-controlled field errors in Section~4 and are not repeat measurements of them.
+
+Term deletion asks which parts of the executed map matter most among the tested variants.  In each of four source cases, the full map and a deletion variant were run for the same 40 control steps.  Six-channel native DTW similarity was evaluated after one shared circular-lag alignment, and $\Delta S=S_{deleted}-S_{parent}$.  Deleting the rear constant gave $-0.106537$, $-0.093869$, $-0.178525$ and $-0.191082$; deleting rear-lift feedback gave $-0.028755$, $-0.041660$, $-0.061363$ and $-0.048948$; deleting the front correction gave $-0.006520$, $+0.000579$, $-0.005179$ and $-0.025194$.
+
+Removing the persistent rear rotation produces the largest degradation in every tested case.  Removing rear-lift feedback has a smaller but non-zero effect, while removing the front correction is weak or mixed over this window.  A deletion changes the actions and hence the states subsequently visited, so this ranking does not identify causal or necessary terms in the flow-control process.  It establishes a tested action hierarchy and motivates a separate field question: how do the persistent reference action and the remaining time-dependent organization appear in the mean and centred velocity fields?
@@ -0,0 +1,30 @@
+\section{Mean-field correction and action-correlated organization}
+
+The field analysis begins with four flows: the target $T$, physical zero $0$, constant control $C$ fixed at the mean action of the PPO policy, and PPO-controlled flow $D$.  For the periodic K\'arm\'an cloak in the parabolic-inflow/no-slip-wall configuration, each mean averages the same 360 post-step boundaries, indices $[480,840)$.  The comparison covers $34\leq x/D\leq54$, $|y/D|\leq5$, on the 80,200 fluid points shared by all four simulations.  With coordinate weights $w_k$ and both velocity components, the target error of flow $r$ is
+\begin{equation}
+ E_r=\left[\frac{\sum_{k\in K}w_k\|\overline{\boldsymbol{u}}_r(k)-\overline{\boldsymbol{u}}_T(k)\|_2^2}{\sum_{k\in K}w_k}\right]^{1/2}.
+\end{equation}
+Here $\boldsymbol{u}_r(k)=(u_{x,r}(k),u_{y,r}(k))$ is the two-component velocity at point $k$, and $\overline{\boldsymbol{u}}_T$ is the target mean, not an instantaneous field.  This four-flow comparison uses different data, averaging windows, masks and weighting from the PPO-controlled comparison in Section~4 and the SR comparison in Section~5; the resulting numbers are not repeat measurements.
+
+The streamwise means give the first physical picture.  Across much of the wake region, $\overline u_{x,0}-\overline u_{x,T}$ is negative: the passive pinball has a mean streamwise deficit relative to the target.  The difference $\overline u_{x,D}-\overline u_{x,0}$ is largely opposite in sign and shows where PPO control adds or removes streamwise velocity relative to physical zero.  This pattern is compatible with adding downstream velocity where the passive configuration produces a deficit, but it does not establish momentum restoration.  These fields show only the streamwise component; the errors below use both velocity components.
+
+The exact errors are $E_0=0.4694352273$, $E_C=0.1110140739$ and $E_D=0.0857787860$.  Their ordered differences give
+\begin{equation}
+ \frac{E_0-E_C}{E_0-E_D}=93.42\%,\qquad
+ \frac{E_C-E_D}{E_0-E_D}=6.58\%.
+\end{equation}
+Thus constant control accounts for $93.42\%$ of the measured reduction from the physical-zero error to the PPO-controlled error, and the change from constant control to PPO control accounts for the remaining $6.58\%$.  These percentages divide changes in one scalar distance from the target mean.  They are neither energy fractions nor measurements of the norm of the residual defined next, and they do not assign shares to terms in the SR law.
+
+The time-dependent comparison requires a velocity field rather than a difference between scalar errors.  Mean-field descriptions of natural and actuated cylinder wakes use shift modes to represent changing means and their coupling with fluctuations \citep{TadmorEtAl2010CylinderMeanField}.  That context motivates keeping the mean correction and fluctuation organization as distinct objects here; it does not identify the present constant-control subtraction with a shift-mode model.  The PPO-controlled run contains 19 cycles resolved into ten phase bins.  A separate 19-cycle constant-control run supplies the two-component phase field $\widehat{\boldsymbol{u}}^C_b(k)$.  After subtracting each flow's own mean, the centred velocity residual is
+\begin{equation}
+ \boldsymbol{u}^{\mathrm{res}}_{c,b}(k)=[\boldsymbol{u}^D_{c,b}(k)-\overline{\boldsymbol{u}}_D(k)]-[\widehat{\boldsymbol{u}}^C_b(k)-\overline{\boldsymbol{u}}_C(k)],
+ \qquad c=0,\ldots,18,
+ \quad b=0,\ldots,9.
+\end{equation}
+Every PPO-controlled cycle is compared with the constant-control ensemble template at phase bin $b$; individual cycles from the two runs are not paired.  No cross-run lag, phase wrapping or interpolation is introduced.  The residual is therefore a separately centred comparison, not a matched counterfactual response, and its magnitude is not the 6.58\% scalar share.
+
+Canonical correlation decomposition (CCD) asks whether this residual varies with the executed actions.  The actions are the same-boundary, counter-clockwise-positive cylinder speeds in native solver units.  From front, upper and lower actions $(a_F,a_U,a_L)$, the analysis forms $a_F$, the rear-symmetric coordinate $(a_U+a_L)/\sqrt{2}$ and the rear-antisymmetric coordinate $(a_U-a_L)/\sqrt{2}$.  It removes the measured mean action and then centres the samples, without rescaling or whitening them.  A rank-3 decomposition relates these three action coordinates to the centred velocity residual.  Its field vectors are termed \emph{action-correlated correction-field modes}.  Their singular strengths measure cross-correlation, not field energy, and each mode may be multiplied by $-1$ without changing the decomposition.  The modes describe action association rather than a causal response of the flow.  This placement has a broader correlation-oriented ancestry: extended POD relates fields to correlated events, observable-ranked decompositions order velocity structures by their linear observability in another signal, and point--field correlations have been used for descriptive field reconstruction \citep{Boree2003ExtendedPOD,JordanEtAl2007ObservableJetModes,DiscettiEtAl2018CorrelatedFieldEstimation}.  Sparse sensor-to-field modelling provides a related observable-associated context \citep{LoiseauEtAl2018SparseROM}.  These precedents motivate the distinction from energy ranking; they do not validate CCD, import another decomposition, or establish causality.
+
+Proper orthogonal decomposition (POD) provides the field-only comparison \citep{SchlegelEtAl2012LeastOrder}.  It orders velocity-field variance under the same weights without using the action coordinates.  Here POD and CCD use exactly the same centred residual snapshots, rank, weights and spatial region.  Their rank-3 field subspaces are essentially the same.  CCD therefore does not provide a superior or uniquely physical velocity basis; it adds coordinates that associate the shared low-rank field organization with front, rear-symmetric and rear-antisymmetric motion.
+
+Together, the mean fields show that constant rear-cylinder rotation accounts for most of the measured scalar error reduction, while the separately centred velocity residual associated with the smaller constant-to-PPO scalar increment has descriptive action-correlated organization.  This relationship does not identify SR terms with CCD coordinates or independently confirm the action analysis.  It applies only to this K\'arm\'an cloak, these four flows and the stated spatial and temporal comparison.
@@ -0,0 +1,11 @@
+\section{Extensions under changed temporal and target contracts}
+
+The periodic K\'arm\'an case provides a reference for changing the control problem, not a numerical or interpretive template for the cases considered here.  The incoming vortex replaces periodic phase by event-relative time; Illusion replaces background matching by a declared non-zero target; and Erase compares with a clean-flow target while an upstream disturbance remains in the PPO-controlled and physical-zero flows.  The policy maps its current force-plus-sparse-observation state to cylinder actions in each case, but the clocks, target fields and physical comparisons differ.  Field morphology can therefore be interpreted only within each case.
+
+In the central Taylor-vortex scene, the target, PPO-controlled and physical-zero flows are sampled at offsets relative to the detected incoming event, together with the action history.  The offset indexes the event, not a periodic phase or a calibrated physical time.  At offset $+10$, the three vorticity fields show distinct event-relative morphologies.  Their common event coordinate places the incoming structure, its passage around the pinball and the downstream wake in one spatial comparison, so differences can be assigned to role without treating the offset as a phase.  No scalar comparison is reported; only morphology is considered.  Because the policy acts from the current observation state, the event motivates a hypothesis of reactive control from local information for a comparable-scale disturbance.  This single scene demonstrates neither control across vortex families, amplitudes or offsets nor observability or physical-flow memorylessness.
+
+Illusion changes the desired wake signature rather than the clock.  In the uniform-inflow/free-slip-wall configuration, the retained $0.75$ target-size, seed-43 policy was executed toward a declared non-zero target.  Unlike background matching, that target contains a wake pattern, and the PPO-controlled morphology is consistent with retargeting toward it.  No scalar change in target-relative error is reported.  The historical negative Illusion symbolic-regression result remains specific to that method: this PPO execution supplies neither a positive Illusion symbolic law nor a transfer of the K\'arm\'an surrogate.
+
+Erase changes both the physical scene and the temporal comparison.  In the parabolic-inflow/no-slip-wall configuration, its clean target is one late field, whereas the PPO-controlled and physical-zero flows contain the upstream disturbance and contribute eight phase-referenced fields.  The clean, PPO-controlled and physical-zero morphologies are visible, but one late target and an eight-snapshot set are not the same temporal object.  The historical rolling reward compares an evolving same-rollout history rather than the clean target field.  No scalar field evaluation is reported; averaging the retained snapshots would first remove phase-dependent variation, whereas aggregating snapshot-wise errors would retain that variation in the error.  These operations define different estimands, neither of which is used here.
+
+Together, the fields show PPO execution under changed temporal or target definitions.  For Illusion, the bounded result is execution toward a declared non-zero target with morphology consistent with retargeting; Vortex and Erase remain morphology-only comparisons, and reactive-control or target-erasure interpretations remain hypotheses.  The distinct configurations and temporal comparisons admit neither a common efficacy measure nor transfer of the K\'arm\'an SR/CCD interpretation.  A separately obtained steady endpoint can therefore provide only non-equivalent physical context.
@@ -0,0 +1,25 @@
+\section{Steady control as physical context and a theory boundary}
+
+Steady rear-cylinder rotation was the historical discovery seed, and the periodic K\'arm\'an analysis later identified persistent rear counter-rotation as the dominant tested symbolic-regression term, with a smaller dynamic correction.  Those findings belong to the parabolic-inflow/no-slip-wall configuration.  Here a separately acquired uniform-inflow/free-slip-wall endpoint at $Re_D=50$ supplies a distinct physical comparison.  It is not a continuation, amplitude match, replication or validation of the periodic control chain, and no cross-configuration arithmetic is meaningful.
+
+With body order $(\text{front},\text{rear}_{y+},\text{rear}_{y-})$, the accepted action is $[0,+\Omega,-\Omega]$ and the surface-speed ratio is $s=\Omega R/U_\infty$.  At $x/D=10$, define the two-component profile error by $E_{\infty,\mathrm{vector}}(\boldsymbol u_{\mathrm{ctl}},\boldsymbol u_{\mathrm{in}})=\max_{y\,\in\,\mathcal C}|\boldsymbol u_{\mathrm{ctl}}(y)-\boldsymbol u_{\mathrm{in}}(y)|/U_\infty$, where $\mathcal C$ is the common-fluid cross-section and $|\cdot|$ is the Euclidean norm of the streamwise and transverse velocity differences.  Thus this $L^\infty$ profile metric uses a cross-sectional maximum, not quadrature weighting.  The settling-qualified endpoint at $s=3.55$ has $E_{\infty,\mathrm{vector}}=0.02317$.  Stationary flow is an unsteady reference, while the reverse endpoint at $s=5.2$ differs in both sign and amplitude.  The accepted velocity field is therefore a distinct low-deficit endpoint, not an optimum, a stable branch or a universal law.
+
+The wall law $(U_w,V_w)=(-\omega r_y,\omega r_x)$ fixes the tangential surface velocity: for the accepted rear-cylinder signs, both gap-facing cardinal points move downstream and both outer cardinal points move upstream.  Relative to the stationary and reverse flows, the accepted vorticity and streamline fields show a different inter-cylinder and near-wake organization.  These endpoint observations motivate a viscous hypothesis: imposed wall motion may alter wall shear and vorticity production, shear-layer development, inter-cylinder transport, separation and recirculation, and hence downstream mean transport.  The sequence is not a demonstrated mechanism because no amplitude-matched intervention, complete same-control-volume momentum or mechanical-energy budget, force attribution, or stability analysis isolates its links.
+
+Rotating-cylinder studies make this separation necessary.  Wake modification by auxiliary rotating cylinders varies with Reynolds number, gap, rotation rate and dimensionality \citep{Mittal2001RotatingControlCylinders,ChanEtAl2011CounterRotatingCylinders}; even a strongly suppressed viscous wake that resembles a potential doublet does not thereby become an inviscid solution \citep{ChanEtAl2011CounterRotatingCylinders}.  Viscous rotating-cylinder flows can also occupy multiple steady or cyclic branches, including bistable regimes \citep{SierraEtAl2020RotatingCylinderBifurcations}, while low-Reynolds-number two-cylinder analysis requires matched inner Stokes and outer Oseen descriptions \citep{Watson1996TwoRotatingCylinders}.  These results motivate an outer reference as a deliberately restricted test of streamline organization, not as a parameter transfer, branch identification or mechanism for the present endpoint.
+
+The rearranged outer streamlines raise a specific closure question: can the finite-Re organization be explained by the circulation degrees of freedom that remain after an inviscid flow satisfies impermeability?  To test that proposition without assigning viscous physics to the outer model, consider the irrotational family \citep{Crowdy2006MultipleCylinders}
+\begin{equation}
+  \boldsymbol{u}(\boldsymbol{x})=\boldsymbol{u}_{N}(\boldsymbol{x})+\sum_{j=1}^{3}\Gamma_j\boldsymbol{h}_j(\boldsymbol{x}),
+  \qquad \nabla\!\cdot\boldsymbol{h}_j=\nabla\!\times\boldsymbol{h}_j=0,\quad
+  \boldsymbol{h}_j\!\cdot\boldsymbol{n}=0,\quad
+  \oint_{B_k}\boldsymbol{h}_j\!\cdot\mathrm{d}\boldsymbol{\ell}=\delta_{jk}.
+\end{equation}
+Here $\boldsymbol{u}_N$ is the zero-period Neumann solution and the counter-clockwise circulations $\Gamma_j$ are prescribed periods spanning the harmonic freedom left by impermeability; cylinder spin does not select them.  This freedom reorganizes the outer streamlines, but it cannot impose rotating no slip; viscous rotating-cylinder theory retains that tangential boundary condition under its own low-Reynolds-number assumptions \citep{UedaEtAl2003RotatingCylinders}.  For one cylinder,
+\begin{equation}
+  u_\theta(R,\theta)=-2U_\infty\sin\theta+\frac{\Gamma}{2\pi R}\neq R\Omega
+  \quad\hbox{for all }\theta\hbox{ when }U_\infty\neq0.
+\end{equation}
+For the normalized rear-opposite basis, define the dimensionless coefficient $g$ by $(\Gamma_1,\Gamma_2,\Gamma_3)/(U_\infty D)=g(0,1,-1)/\sqrt{2}$, with positive circulation geometrically counter-clockwise.  The outer strip objective selects $g_{\mathrm{opt}}=6.148$, whereas the descriptive projection of the accepted finite-Re endpoint gives $g_{\mathrm{fit}}=-12.20$.  The no-slip incompatibility and opposite sign reject wall-spin-to-circulation closure: the outer family organizes geometry but does not explain the viscous endpoint.
+
+The periodic K\'arm\'an fields and actions contain a persistent rear-rotation reference plus a smaller correction under their own configuration.  The separate steady velocity field adds a low-deficit endpoint and motivates the viscous sequence above, but does not establish its links.  Distinguishing those links requires amplitude-matched interventions, held-out endpoint and convergence tests, wall-vorticity flux and separation diagnostics, and a closed same-control-volume momentum/mechanical-energy budget.  Until those measurements are available, the one-circle no-slip incompatibility and the opposite signs of $g_{\mathrm{opt}}$ and $g_{\mathrm{fit}}$ leave the inviscid circulation closure rejected.
@@ -0,0 +1,11 @@
+% Section 9 is an author-owned interface. Every field below is non-manuscript placeholder text.
+\subsection{Qualitative open-loop experiment}
+
+\noindent\textbf{AUTHOR FIELD --- purpose, apparatus and execution boundary.}
+\emph{Supply the purpose of this physical interface; facility/test-section and background-state information; pinball geometry and boundaries; carriage/towing and imaging functions; and the open-loop command path. Bind the software entry point, command source, action units, body order, sign, physical conversion, ramp/start/stop timing, commanded versus measured motion, and synchronization status. Identify every source record. If unavailable, mark the field unavailable and omit the dependent statement.}
+
+\noindent\textbf{AUTHOR FIELD --- trial, media and comparator-led morphology.}
+\emph{For each retained view, supply the trial/case ID, date/setup version, named condition and comparator; exact raw path/hash and permission; camera/view, field of view, scale or uncalibrated status, exposure, frame index/time; dye or numerical release protocol; crop, enhancement or render processing; repeat count and selection rule. Label experiment and CFD as separate, unregistered named-condition views. After those bindings, supply at most one directly visible shape/location observation per retained pair. A single frame must not be used for a temporal, frequency, velocity, force, field-matching, agreement or validation statement.}
+
+\noindent\textbf{AUTHOR FIELD --- confounds, evidence ceiling and next threshold.}
+\emph{Supply the local background/blank state, settling and repeat information, unavailable calibration or synchronization, and any other confound needed to read the retained evidence. State the qualitative open-loop single-frame ceiling. Name the exact synchronized, calibrated and repeated force measurement and/or PIV acquisition, as appropriate to the claim, or repeated image sequence with a declared temporal estimator, required for any stronger claim. If author supply, provenance, processing or permission fails, omit the affected observation, media or entire section; export no experimental result to Section~10 without targeted provenance audit and explicit reopening.}
@@ -0,0 +1,15 @@
+\section{Discussion and conclusions}
+
+\subsection{Discussion}
+
+Three independently rotating cylinders can alter wakes defined by different temporal and target conditions. In the uniform-inflow/free-slip-wall configuration, repeated K\'arm\'an training runs produced high-performing policies across the tested realizations. In the separately documented parabolic-inflow/no-slip-wall configuration, the controlled K\'arm\'an velocity field is closer to its declared target than physical zero in both complete-cycle mean and phase-resolved comparisons. The first result concerns repeatable policy discovery under the online objective; the second concerns the downstream field under a different configuration. Together they locate the periodic K\'arm\'an cloak as the case in which learned rotation is accompanied by a direct target-relative field comparison, without treating the two configurations as one continuous data set.
+
+Persistent counter-rotation of the rear cylinders is the clearest recurring feature of the periodic control. Removing that term degrades the compact surrogate more than removing the tested modulations. In the mean velocity field, the passive pinball leaves a mean streamwise deficit relative to the target, while the controlled-minus-passive field is largely opposite in sign. Holding the cylinders at the mean DRL action produces a constant-control field that accounts for most of the measured scalar mean-field error reduction; the remaining constant-to-DRL scalar increment is distinct from the centred velocity residual. That residual subtracts separately centred DRL and constant-control phase fields without cycle pairing, and its action-correlated modes describe phase organization rather than its size or cause. The surrogate ranking, scalar error increments and residual modes are therefore compatible but non-equivalent: they support persistent rear-cylinder rotation as an organizing component, not a unique decomposition or mechanism.
+
+Changing the task changes what can be inferred. For the incoming-vortex case, the policy was executed on an event-relative clock and the retained fields show target, controlled and physical-zero morphology at the selected event offset, without a scalar efficacy result. For Illusion, the policy was executed toward a declared non-zero wake target, and the retained role fields are consistent with that bounded morphology comparison; no scalar target-relative improvement is claimed. The separate steady case adds physical context: prescribed rear-cylinder counter-rotation accompanies a low-deficit mean-flow endpoint, while the wall kinematics point toward viscous shear-layer and transport effects. The prescribed-circulation outer flow cannot select circulation from cylinder spin, and its opposite sign rejects the proposed inviscid closure. Persistent rotation is therefore a useful kinematic coordinate across the stated cases, but not a transferred control law or causal explanation.
+
+\subsection{Conclusion}
+
+Rotational control was executed for periodic, event-relative and non-zero-target wake definitions. The periodic K\'arm\'an cloak provides the strongest field-level result: in the parabolic-inflow/no-slip-wall configuration, its controlled registered velocity field is closer to the declared target than physical zero. The Vortex and Illusion cases extend the tested task definitions through event-relative execution and bounded non-zero-target morphology, without supplying a common efficacy measure.
+
+For the periodic K\'arm\'an case, persistent rear-cylinder counter-rotation links the dominant tested surrogate term to the constant-control mean field, while the centred velocity residual describes time-dependent organization separately. This physical reading is deliberately limited: action ranking, scalar mean-field increments and residual modes answer different questions. Hydrodynamic cloak and illusion here denote control relative to a declared reference for specified observations and comparisons, not universal invisibility, configuration-independent transfer or an unrestricted physical law.