docs: Dütsch protocol — adopt Grok's cycle-index labels (K = first scored cycle)

Same cycles and pairs as 8505a723, relabelled: proof pairs 3→4..5→6 give
K_case = 7, window K..K+2 with remain-settled pairs, last scored cycle 11.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
This commit is contained in:
Claude
2026-10-30 10:50:22 +00:00
co-authored by Claude Opus 5.5
parent 8505a723a5
commit 8c1f3c4d38
+12 -12
View File
@@ -140,17 +140,17 @@ quarter `s/T < 0.25`. Pair p_k compares cycle k−1 with cycle k.
- Discarded: cycles 0, 1, 2 (s/T < 2.25). Pairs are formed only between
cycles ≥ 3, so the first pair is p_4 (3 → 4).
- Settling proof for a case: the earliest K_case such that p_{K-2}, p_{K-1},
p_K all pass (three consecutive pairs over cycles K−3 .. K). Earliest
possible: K_case = 6 (pairs 3→4, 4→5, 5→6).
- Scored window (after the proof): cycles K+1, K+2, K+3 with
K = max over compared cases of K_case. The case must stay settled
throughout: pairs p_{K+1}, p_{K+2}, p_{K+3} must pass as well, otherwise
FAIL-CLOSED.
- Cap: cycle k ends at s/T = 0.25 + k, so the window ends at s/T = K + 3.25
≤ 12 ⇒ K ≤ 8. Allowed: K = 6 (window 7–9, ends 9.25 T), 7 (8–10,
10.25 T), 8 (9–11, 11.25 T). K_case > 8 for any case → FAIL-CLOSED.
- Every case is run to the end of cycle K + 3 (proportionally more native
- Settling proof for a case: three consecutive pairs all pass; K_case = the
first cycle AFTER the last of those pairs. Earliest possible: pairs 3→4,
4→5, 5→6 pass ⇒ K_case = 7.
- Common window: K = max over compared cases of K_case; every case scores the
same three complete cycles K, K+1, K+2 and must stay settled throughout:
pairs (K−1→K), (K→K+1), (K+1→K+2) must pass on every case, otherwise that
case is FAIL-CLOSED (an earlier local settle does not waive this).
- Cap: cycle k ends at s/T = k + 0.25, so the last admissible scored cycle is
11 (ends 11.25 T) and K ≤ 9. Examples: K = 7 → cycles 7–9 (ends 9.25 T);
K = 9 → cycles 9–11 (ends 11.25 T); any K_case > 9 → FAIL-CLOSED.
- Every case is run to the end of cycle K + 2 (proportionally more native
steps on finer grids).
- Discard: the initial quarter cycle plus the first 2 full paper cycles
(s/T < 2.25). Settling is searched from cycle 3; cap 12 periods from s = 0;
@@ -193,7 +193,7 @@ cap and the earlier tolerance numbers.
## 6a. Driver unit tests (CPU, before any run)
- Phase/cycle arithmetic: s ↔ (k, φ), cycle boundaries, bin membership,
window/cap selection for K = 6, 7, 8, 9.
window/cap selection for K = 7, 8, 9, 10.
- Solid-aware interpolation: all-fluid, partial-solid (renormalized weights),
no-fluid (MISSING) and inside-circle cases.
- Interval-averaged Morison bases and the two-parameter fit on a synthetic