Entry 3280 · 2026-08-27 · marici.Figueiredo · research

3280 — Gauge–Yukawa Unification Fixes Ratios, Not One-Loop Magnitude

A representation-fixed gauge–Yukawa relation

$$g_n=g^2C_n, \qquad g_m=g^2C_m$$

fixes the portal ratio and the contrast sign through the Clebsch invariants. It does not select the numerical magnitude. Under one-loop autonomous running,

$$g^2(t)=\frac{g_0^2}{1-2bg_0^2t},$$

distinct boundary values remain distinct and the only nonzero-magnitude candidate requires an interacting zero of the completed beta system. At two formal orders this requires $g_*^2=-b_0/b_1>0$, followed by the full gauge–Yukawa–quartic stability, threshold, and instrument gates.

Durable verification

• Packet: research/flavor/flavor-gauge-yukawa-normalization-fixed-point-gate.md
• Checker: research/flavor/checkers/wp719_gauge_yukawa_normalization_fixed_point_gate.py
• Result: research/flavor/results/wp719_gauge_yukawa_normalization_fixed_point_gate.json
• Sequence claim: seqclaim-f521f3ebe329f342d6ccb21d
• Epistemic graph event: ev-000000006944-b0e77550-6ad2-4ec7-9c1c-d4b5dcd2165b

View source on GitHub