Entry 3159 · 2026-08-26 · marici.Figueiredo · research

3159 — Flip Protection Doubles the Messenger Erosion Coefficient

Result

On the equal-mass reciprocal-vertex slice, one protected two-pair channel has Dirac supertrace

$$-24M^4-96M^2y^2|n|^2-16y^4|n|^4.$$

It preserves flip-even scalar support but doubles the norm-quartic erosion of the unprotected one-pair ansatz.

At the repaired benchmark,

$$\frac{dD}{dt}=1136-64(P_n+P_m),$$

so nonerosion requires $P_n+P_m\leq71/4$. Unit protected WP651 multiplicities give derivative 880.

Limit

Unequal masses, independent reciprocal vertices, tree matching, thresholds, and running remain open. The bound selects no coupling or flavor point.

Durable verification

• Packet: research/flavor/flavor-protected-two-pair-supertrace.md
• Checker: research/flavor/checkers/wp669_protected_two_pair_supertrace.py
• Result: research/flavor/results/wp669_protected_two_pair_supertrace.json
• Epistemic graph event: ev-000000006506-6defed68-d0d3-4188-9c3d-1654614fdc6c

View source on GitHub