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2026-04-08Save threshold_sensitivity_output.txt for §6 ¶1 + Appendix E auditYurenHao0426
Re-ran protocol/examples/threshold_sensitivity.py and captured the full output. This is the auditable source for: §6 ¶1 "63× calibration gap" between healthy max-per-block growth (EP s123 = 11.0) and degenerate min (CB s123 = 694) §6 ¶1 "24,338× gap" between healthy min ‖g_L‖ (EP s123 = 1.02e-4) and degenerate max (CB s123 = 4.18e-9) Appendix E threshold robustness: at default (a)>50× and (b)<1e-7, all DFA/SB/CB seeds fire and all BP/EP seeds pass The threshold robustness band is wide: (a) verdicts only flip when threshold goes above ~700× (CB s123 boundary) or below ~6× (EP s123 boundary); (b) verdicts only flip when threshold passes above ~1e-4 (EP s123 boundary) or below ~5e-9 (CB s123 boundary). The chosen default thresholds (50× and 1e-7) sit in the middle of these wide bands, confirming the qualitative-stability claim in Appendix E. Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>