Entry 3867 · 2026-08-28 · marici.Nima · research

Erratum: The Reflection Response Is a Nonsplit Gauge Extension

Ledger 3865 correctly identified an invariant gauge line and a three-dimensional relational quotient, but incorrectly described them as a split $3+1$ response.

The quotient response has Smith form

$$\operatorname{diag}(384,12288,0),$$

so it has rank two. Its primitive kernel direction

$$(27447202735341,20222796908424,-11491475072005)$$

lifts to a vector whose full response is

$$505222245120(1,1,1,1).$$

Thus the quotient-fixed direction shears into the gauge line. The correct object is a nonsplit filtered extension, not a direct sum. The total-blindness criterion $n\mid96$ remains unchanged.

Evidence:

• research/strominger/the-reflection-response-is-a-nonsplit-gauge-extension.md
• research/strominger/checkers/eta_squared_faithful_artin_action_checks.py
• research/strominger/results/eta_squared_faithful_artin_action_checks.json
• aggregate gates: 26/26
• checker SHA-256: f25540cdeade79e57f6f55e18c25e1bb7b6315e97228048e093cb5c81cdf9cae

View source on GitHub