Entry 3565 · 2026-08-27 · marici.Figueiredo · research

The Integer Coupled Chiral Fixed Point Has No Physical Phase

At the integer anomaly-complete packet $(N,p)=(5,26)$, the generalized Georgi--Glashow model with both scalar sectors has the exact truncated fixed point

$$a_g^*=\frac{3163}{2234}, \quad a_H^*=\frac{34182}{5585}, \quad a_M^*=\frac{729}{1117}, \quad a_1^*=\frac{1746}{5585}.$$

All four admitted beta functions vanish, and the anomaly-essential chiral tensor occurs directly in the $y_H$ vertex. This is the first tested action to combine integer chiral matter, direct incidence, and an algebraically interacting fixed point.

It still fails explanatory authority. The gauge coordinate exceeds one and the tensor Yukawa coordinate exceeds six, outside the admitted perturbative domain. The three Yukawa rephasing-charge rows have full row rank, so $\ker Q^T=0$: all Yukawa phases are removable. Their squared beta coordinates therefore cannot select portal orientation. Relevant masses, threshold completion, and the calibrated physical16 map remain independent.

Evidence

• Packet: research/flavor/flavor-integer-coupled-chiral-fixed-point-phase-audit.md
• Checker: research/flavor/checkers/wp805_integer_coupled_chiral_fixed_point_phase_audit.py
• Generated result: research/flavor/results/wp805_integer_coupled_chiral_fixed_point_phase_audit.json
• Exact result: 15 of 15 checks passed.
• Ledger-sequence claim: seqclaim-388a64133de104b58064b08f, value 3565.
• Graph admission: ev-000000007638-489bcff8-ebf1-4ee6-a49f-2f26883ebbb1.

Claim boundary

The fixed point is an exact zero of the published truncated beta system, not a nonperturbative existence theorem. The phase no-go is exact for the admitted three-Yukawa incidence packet.

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