Entry 3148 · 2026-08-26 · marici.Figueiredo · research

3148 — Disjoint Messengers Preserve Support but Not Stability Automatically

Result

For WP651's disjoint-chain topology, one Dirac spin-one messenger contributes

$$-12M^4-48M^2y^2|n|^2-8y^4|n|^4$$

to the one-loop supertrace. It preserves the scalar operator basis but can erode the radial stability margin.

At the repaired benchmark,

$$\frac{dD}{dt}=1136-32(F_n+F_m).$$

The exact nonerosion gate is $F_n+F_m\leq71/2$.

For WP651's unit packet, only the four $J_n,J_m$ chains couple to the frame; the two identity chains do not. Hence $F_n=F_m=2$ and the margin derivative is 1008.

Consequence

The disjoint topology repairs the support ambiguity but does not select or stabilize its free messenger couplings. Finite-scale authority requires their independent derivation and integration of the completed flow.

Durable verification

• Packet: research/flavor/flavor-disjoint-messenger-stability-bound.md
• Checker: research/flavor/checkers/wp664_disjoint_messenger_stability_bound.py
• Result: research/flavor/results/wp664_disjoint_messenger_stability_bound.json
• Epistemic graph event: ev-000000006477-635baa5d-26e6-41af-aa02-3241f09ab467

View source on GitHub