ept.git/docs/campaign/FINDINGS.md, branch master Unnamed repository; edit this file 'description' to name the repository. omega/norm-family refuted as stability signal; fingerprint story retracted; eigreg v2 = true map-eigenvalue (spec_penalty) 2026-07-03T12:57:22+00:00 Yuren Hao yurenh2@illinois.edu 2026-07-03T12:57:22+00:00 bcec9560cf5c9b113e9381a52d1a941daa8865f2 - 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 
- 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
Initial commit: ept — backprop-free equilibrium transformer (EP) 2026-07-03T10:56:50+00:00 Yuren Hao yurenh2@illinois.edu 2026-07-03T10:56:50+00:00 b83947778e2c776f757a07d4719b7ce961d7ed55 Code (ep_run/), organized docs (docs/{method,campaign,hardware,outreach,paper}), analysis scripts (scripts/), ONBOARDING.md entry point. Large data/checkpoints git-ignored (share separately). Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_014FAPDWQ49M5Ye3NpTndTpn 
Code (ep_run/), organized docs (docs/{method,campaign,hardware,outreach,paper}),
analysis scripts (scripts/), ONBOARDING.md entry point. Large data/checkpoints
git-ignored (share separately).

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