RESULT 53: β教条重建 — Codex ρ探针测出真实上界β*≈0.7@s35000(0.4收敛/0.7发散); v1炸@0.09处ρ=0.73远未越界=控制器自炸非β不稳; 固定β永不炸(遇下沉上界→skip防御,plain2收官11527skip仍3.3437完赛),只有控制器炸; 界内CE平坦+偏置∝β+上界下沉→政策=固定小β,控制器线拆除(错误且危险的轴,用户判定成立); 1e-3全程验证已排

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_014FAPDWQ49M5Ye3NpTndTpn

1 files changed, 30 insertions, 0 deletions

diff --git a/docs/campaign/CASCADE_ABLATION_PLAN.md b/docs/campaign/CASCADE_ABLATION_PLAN.md
index ada9379..f0a82be 100644
--- a/docs/campaign/CASCADE_ABLATION_PLAN.md
+++ b/docs/campaign/CASCADE_ABLATION_PLAN.md
@@ -568,6 +568,36 @@ direction), not training-under-fault; wave-2 = co-training with faults injected
 
 
 
+### RESULT 53 (2026-07-20): THE β DOGMA REBUILT — ceiling is REAL (β*≈0.7 @s35000) but the v1
+collapse did NOT cross it; fixed β never explodes (only the controller does); policy = FIXED SMALL β.
+Codex ρ-probe (probe_cx2_rho, s35000, one relax, no training): ρ = res_k/res_{k-1} vs β:
+3e-2→0.36, 9e-2→0.73, 0.2→0.93, 0.4→0.95(all converge), 0.7→1.04 (first DIVERGENCE). Stability
+ceiling β* bracketed 0.4<β*<=0.7 in the TRAINED state. So:
+- CEILING IS REAL (user's dichotomy half 1 ✓) but at 0.7, NOT 0.09.
+- v1 blew at β~0.09 where ρ=0.73 — nowhere near β*. hibeta fixed-9e-2 arm ran 10.7k steps ZERO
+  skips, normal learning (runs/hibeta_9e-2.log) — confirms 0.09 is comfortably stable. v1 death =
+  controller self-excitation (β×392=1.01^600) + gate bug + 30k boundary-riding damage, NOT a β
+  instability (user's dichotomy half 2 ✓). BOTH halves true; v1 is half 2.
+- FIXED β NEVER EXPLODES: hits the (sinking) ceiling → triggers skips (defense works). plain2
+  fixed-3e-3 full 234k: 11527 endgame skips yet best 3.3437 clean completion. ONLY the controller
+  explodes. => the entire adaptive-controller line (servo/ride/wsync/simple) was the wrong AND
+  dangerous axis; drop it.
+- CEILING SINKS with training: β*=0.7 @s35000 (mid), but endgame ceiling ~3e-3 (plain2's 11527
+  skips at fixed 3e-3 = the sunk ceiling biting). So no single fixed β is "safe" in the sense of
+  never skipping — but skipping ≠ exploding.
+- β-CURVE FLAT (RESULT bcurve, s35000+10k, controller-free): 1e-3→3.6305, 3e-3→3.6207,
+  1e-2→3.6255, 3e-2→3.6133. Δ0.017 over 30× = seed noise. NO SNR benefit to large β in the digital
+  sim (consistent with the BBP no-floor finding). Large β only COSTS (single-sided bias ∝β,
+  Laborieux; less headroom below the sinking ceiling).
+POLICY (corrected — my earlier "fixed large β" was backwards, user caught it): three constraints
+(bias∝β↓, sinking-ceiling↓, SNR-floor absent in digital per BBP) all point SMALL. Use fixed small
+β; controller removed. Digital ceiling never binds via explosion, only via defensive skips that a
+small β minimizes. HARDWARE is the only regime with a real SNR floor (additive readout noise →
+β*_HW by ENOB) — a separate calc, not settable a priori.
+VALIDATION: fw72m_b1e3 (fixed 1e-3, full 234k, controller-free) queued vs plain2 fixed-3e-3
+(best 3.3437). hibeta 0.2/0.4 arms still measuring slow-accumulation (hypothesis B) at ρ≈0.95.
+plain2 crown = current best 1.0x-cost result at 3.3437 (vs cent 3.3318 @1.67x).
+
 ### RESULT 52 (2026-07-19): 42M 3x3 MATRIX COMPLETE — cent's "zero-gap" was LUCKY-SEED;
 estimator choice does NOT move final CE. cent seeds: 1.2334(s1)/1.2716/1.2579 mean 1.2543.
 Full table: BP 1.2141 | ride 1.2449 | cent 1.2543 | plain 1.2558 — the three EP recipes are