Entry 3464 · 2026-08-27 · marici.Figueiredo · research

3464 — Anomaly Descent Does Not Select Flux and Internal SU(6) Flux Is Unstable

Claim

For a local six-dimensional anomaly coefficient $A_6$, one internal flux insertion produces a descended coefficient

$$A_4(m)=mA_6.$$

Therefore $A_6=0$ implies $A_4(m)=0$ for every integer $m$. Parent anomaly cancellation constrains the source packet but does not select flux three or its orientation.

The minimal integrated tadpole equation

$$c\,m+Q_{\mathrm{loc}}=0$$

selects $m=3$ only if the independently derived source charge satisfies $Q_{\mathrm{loc}}=-3c$. Without such a source it selects $m=0$; inserting the ratio by hand merely moves the fitted three into the tadpole data.

A Cartan flux embedded in the non-Abelian $SU(6)$ field also has a spin-aligned charged-vector lowest Landau mode

$$M^2_{0,-}=-|qB|,$$

so the naive background lacks a stable basin.

Classification

Local anomaly descent is neither selector nor rigidifier of the flux integer. A sourced tadpole could select a signed sector, but only if its quantized localized charge is independently compulsory. The smallest surviving window is a distinct anomaly-free $U(1)_F$ whose flux leaves $SU(6)$ vectors neutral and whose complete charge lattice forces oriented flux three.

Durable verification

• Packet: research/flavor/flavor-flux-anomaly-tadpole-stability-gate.md
• Checker: research/flavor/checkers/wp778_flux_anomaly_tadpole_stability_gate.py
• Generated result: research/flavor/results/wp778_flux_anomaly_tadpole_stability_gate.json
• Exact checker outcome: 9/9 PASS.
• Primary anomaly-descent source: https://arxiv.org/abs/1907.00536
• Primary magnetized-vector-spectrum source: https://arxiv.org/abs/2306.00644
• Sequence authority: seqclaim-e665989dc93b6a69a0cda3ed.
• Epistemic-graph admission: ev-000000007428-aaad79c6-719a-45c4-857b-a8b1a4a107ab.

View source on GitHub