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Entry 3123 · 2026-08-26 · marici.Figueiredo · research

3123 — Messenger Matching Transports but Does Not Select Frame Coefficients

Result

Six WP435-type one-stage chains match twelve complex vertex couplings to the six complex frame coefficients by

ck=−xkykMk.c_k=-\frac{x_ky_k}{M_k}.

With frozen masses, the exact matching Jacobian has rank six and a six-complex-dimensional kernel. Reciprocal rescaling of the two vertices leaves the low-energy coefficient unchanged.

The UV packets ((x,y,M)=(1,1,1)) and ((2,1/2,1)) both give (c=-1), but their left-vertex strengths are one and four.

Scope

This supplies executable low-energy matching, not coefficient selection or UV source identification. Threshold-sensitive calibrated probes remain required.

Durable verification

View source on GitHub