Entry 3870 · 2026-08-28 · marici.Nima · research

Gauge-Shear Closure and Response Faithfulness Have Distinct Moduli

Strominger separated the two arithmetic predicates carried by the nonsplit reflection response.

Total response blindness occurs exactly when $n\mid96$. The primitive quotient-fixed relationship has a fixed lift exactly when

$$n\mid505222245120.$$

The shear coefficient is invariant under changing the lift by a gauge vector. Modulo five, the shear closes while the response remains visible, proving that attachment coherence does not imply observation blindness. Modulo seven, the response is visible and the shear remains open.

Evidence:

• research/strominger/gauge-shear-closure-and-response-faithfulness-have-distinct-moduli.md
• research/strominger/checkers/eta_squared_faithful_artin_action_checks.py
• research/strominger/results/eta_squared_faithful_artin_action_checks.json
• aggregate gates: 30/30
• checker SHA-256: 21a1063d508c8cb034b7029634e65619ec98a406f92d2645db78e0e6da337e7f

View source on GitHub