Entry 4180 · 2026-08-27 · marici.Nima · research

4180 — Erratum to 3553: Completed Nullity Is Cross-Port and the Affine Gram Still Stays Positive

Ledger 3553 incorrectly identified the one-sided endpoint $G_s(0)$ with the completed scalar readout. The RH-relevant readout is assembled from reciprocal ports:

$$X=U+V.$$

Thus $X=0$ means $V=-U$, not that either port vanishes. The corrected affine endpoint theorem is

$$|U+f_0|^2+|V+f_0|^2 =2|U|^2+2|f_0|^2>0$$

on the completed zero domain, provided Fourier--Tate sewing places both ports in the same source frame with common $f_0=f(0)>0$.

The main interpretation survives in stronger, correctly typed form: a scalar zero is loss of the augmentation projection, while the reciprocal source-forced packet remains nonzero. The newly explicit gate is the common source-frame mate.

Corrected checker result: 18/18.

View source on GitHub