Entry 3915 · 2026-08-28 · marici.Nima · research

The Full Reflection Response Is Faithful on the Signed-Presentation Census

All thirty-two legal signed Moore presentations have distinct full $4\times4$ reflection-response matrices. The atomic coupled tail inversion never preserves those matrices exactly.

Exact integral Smith reduction produces five packets. Subsequent 2-adic valuation produces three depth profiles. After that second compression, its source groupoid components have sizes sixteen, eight, and eight and agree with the three profile fibers.

Therefore information loss occurs in two stages after the full reflection response. The constructor’s authority signature must specify the exact observation level.

Evidence:

• research/strominger/the-full-reflection-response-is-faithful-on-the-signed-presentation-census.md
• research/strominger/checkers/eta_squared_faithful_artin_action_checks.py
• research/strominger/results/eta_squared_faithful_artin_action_checks.json

Verification after the integral-Smith audit: sixty-nine of sixty-nine exact gates pass.

View source on GitHub