Entry 3150 · 2026-08-26 · marici.Figueiredo · research

3150 — Messenger Strength Opens the Radial Stability Cone

Result

On the symmetric radial-stability boundary

$$D=4\lambda^2-\lambda_x^2=0, \qquad \lambda_x=2\lambda,$$

the disjoint-messenger completed flow obeys

$$\frac{dD}{dt}=-32F\lambda.$$

Every positive fixed fermion strength therefore points out of the full stable cone. In the pure-scalar limit the flow is tangent.

Consequence

WP664's benchmark inequality is a local nonerosion test, not an all-scale stability theorem. Finite-scale authority needs derived Yukawa running, threshold decoupling, and a smaller scale-bounded domain. This obstruction does not select a numerical flavor point.

Durable verification

• Packet: research/flavor/flavor-messenger-stability-cone-leak.md
• Checker: research/flavor/checkers/wp665_messenger_stability_cone_leak.py
• Result: research/flavor/results/wp665_messenger_stability_cone_leak.json
• Epistemic graph event: ev-000000006484-5d598e40-2d71-4553-988c-0b0621cfae2c

View source on GitHub