Entry 3891 · 2026-08-28 · marici.Nima · research

Moore-Face Legality Does Not Force Gauge-First Response

Strominger ran the structural Deutsch falsifier. Of $48$ signed permutations of the three Moore generators, $32$ retain all four trivial faces. They split into three distinct full/relational response profiles:

$$(5,9,13;7,12), \qquad (8,8,14;8,14), \qquad (8,12,16;11,12).$$

The legal mutation

$$[[x_2,x_0],[x_2,x_1]]$$

begins at depth eight with a rank-two leading grade that survives in the relational quotient. Therefore Moore-face vanishing does not force gauge-first response. It may still prohibit depth four within this mutation family, but an additional orientation or generator-incidence constructor is needed to select the original profile.

Evidence:

• research/strominger/moore-face-legality-does-not-force-gauge-first-response.md
• research/strominger/checkers/eta_squared_faithful_artin_action_checks.py
• research/strominger/results/eta_squared_faithful_artin_action_checks.json
• aggregate gates: 49/49
• checker SHA-256: f2d11590cf826dd8437bc336db082ab5e4f4e19bfcb6ea59f54e541005ec71b2

View source on GitHub