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Entry 3364 · 2026-08-27 · marici.Figueiredo · research

3364 — A Simple Moment Map Fixes the Portal Ratio on the Wrong Domain

Claim

One (SU(3)) Killing metric and fundamental-weight assignment can generate the correct CP-even asymmetric portal without an independent difference coefficient. For

wχ=wn=w1,wm=w2,w_\chi=w_n=w_1, \qquad w_m=w_2,

the (D)-term square gives

gn=g23,gm=−g26,gn−gm=g22,g_n=\frac{g^2}{3}, \qquad g_m=-\frac{g^2}{6}, \qquad g_n-g_m=\frac{g^2}{2},

with strict radial margin (g^4/12).

The result is conditional. Exchanging the two channel embeddings reverses the ordered contrast while preserving the unordered source packet. The fundamental is complex, so it does not act on the original real irreducible triplet, and common gauge rescaling changes the magnitude.

Classification

This is a conditional CP-even sign/ratio and radial selector on an enlarged complex domain. It is neither a physical16 selector nor an absolute-magnitude selector.

Scope

The result does not exclude an oriented anomaly-free messenger embedding with an exact descent to neutral real invariants. Such a completion must still fix the gauge magnitude, RG clock, threshold survival, and instrument.

Durable verification

View source on GitHub