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@@ -566,6 +566,24 @@ direction), not training-under-fault; wave-2 = co-training with faults injected
+
+### RESULT 20 (2026-07-14): WALL-ZONE PROBE VERDICTS — damping REFUTED (2 doses + adapt), beta-down SAILS; crown completion launched.
+Six arms, s195000 -> 201000 (the full crossing zone), identical data/recipe otherwise:
+| arm | val@201k (best) | skips | drift@end | verdict |
+| ctl floor-1e-3 | 4.55 (3.87) | 611 | 0.460 | crossing REPLICATED (probe validity) |
+| geta07 damp-0.7 | 4.57 (3.90) | 2373 | 0.481 | WORSE than ctl — damping refuted, dose 1 |
+| **blow floor-3e-4** | **3.94 (3.82)** | **6** | **0.015** | **sails the wall; best quality of all arms** |
+| geta05_k5 | 4.25 (3.89) | 3 | 0.451 | still at ceiling — damping refuted, dose 2 |
+| adapt (relax_tol, kmax 12) | 5.79 diverging (killed) | — | 0.494 | iterate-longer AMPLIFIES a divergent map (12 sweeps of gain>1 vs 3) — third monotone-spectrum witness |
+| bcap v1 (rho-cap) | 4.12 (3.91) | 0 | 0.013 | SURVIVES but starves: cap slammed beta to 2e-5 (meter reads noise/noise~1 at tiny residuals -> never recovers). v2 needs an absolute-scale gate on rho + slower attack |
+CONCLUSIONS: (1) spectrum is MONOTONE-POSITIVE (damping mathematically can't fix; 3 independent
+witnesses); (2) beta-reduction is THE working lever (loop gain ~ beta, linear); (3) the wall-1 fix
+(raising the floor to 1e-3) directly CAUSED the wall-2 crossing — the two walls are one beta-window
+story; (4) beta 3e-4 is NOT SNR-starved at this scale (blow's best 3.82 beats ctl's pre-wall
+plateau) — the "floor must be 1e-3" calibration was another absolute-constant transplant error.
+LAUNCHED: fw72m_c = crown completion from s195000 with the blow recipe (late floor 3e-4), 2xDDP,
+ETA ~3.3h; arms7 (tail-SNR momentum/centered/richardson/adamw suite) sequential on GPU1 overnight.
+
### RESULT 19 (2026-07-14): WALL-2 THEORY SESSION — loop-gain decomposition, the beta WINDOW, and three new controllers.
**Mechanism formalized.** The nudged solve is a fixed-point iteration whose per-sweep error gain
factorizes as **rho ~ beta x ||output curvature|| x ||down J^T chain|| x ||up J chain||** (follow the