omega/norm-family refuted as stability signal; fingerprint story retracted; eigreg v2 = true map-eigenvalue (spec_penalty)HEADmaster

- eig_control: fix plain-PI bug (shifted PI for lambda_max of indefinite Sym);
  add lead_rho + spec_penalty (soft one-sided cap on |lam|(I+eps*J_F), 2-D
  Rayleigh-Ritz, matvec-only) — aep 'spectral' ported. eig_penalty demoted to
  diagnostic.
- eig_recheck.py (Lanczos audit): omega=+5..+13 on ALL operators incl the
  stablest (s2000 +12.8 while true alpha=-0.02); gap omega-alpha~10; old
  'warm -10.14 vs scratch +1.11' numbers were PI-mixture artifacts. RETRACTED.
- eig_v2_smoke/depth: v2 mechanics validated vs ARPACK; z_T1 readings >1 are
  unconverged-state contamination (150: 1.009 -> 400/800: 0.997-0.999,
  mu=-0.02..-0.006 matching eig_probe); fixed-point top = BAND of slow modes.
- lt_ep_train: --eigreg now spec_penalty (--eig_margin 0.995 = rho target);
  --fingerprint reports rho/Re_mu instead of num_abscissa.
- ONBOARDING §4-7 + FINDINGS 2026-07-03: retraction + verdict (fundamental
  quantity = finite-horizon path LE / resreg axis; de-cliff via floss-ept;
  spec_penalty = measure-mode scalpel for a detaching Hopf pair).

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_014FAPDWQ49M5Ye3NpTndTpn

1 files changed, 6 insertions, 0 deletions

diff --git a/ep_run/eig_v2_depth.log b/ep_run/eig_v2_depth.log
new file mode 100644
index 0000000..3fd80fc
--- /dev/null
+++ b/ep_run/eig_v2_depth.log
@@ -0,0 +1,6 @@
+/home/yurenh2/miniconda3/lib/python3.13/site-packages/torch/autograd/graph.py:865: UserWarning: Attempting to run cuBLAS, but there was no current CUDA context! Attempting to set the primary context... (Triggered internally at /pytorch/aten/src/ATen/cuda/CublasHandlePool.cpp:330.)
+  return Variable._execution_engine.run_backward(  # Calls into the C++ engine to run the backward pass
+[s2000 @  150 steps] res=2.584e+00  |l|=1.00880(+1.0088+0.0000j)  |l|=1.00615(+1.0061+0.0000j)  |l|=1.00509(+1.0051+0.0000j)
+[s2000 @  400 steps] res=4.638e-02  |l|=0.99798(+0.9980+0.0000j)  |l|=0.99788(+0.9979+0.0000j)  |l|=0.99753(+0.9975+0.0000j)
+[s2000 @  800 steps] res=3.327e-03  |l|=0.99942(+0.9994+0.0000j)  |l|=0.99804(+0.9980+0.0000j)  |l|=0.99698(+0.9970+0.0000j)
+EIG_V2_DEPTH_DONE