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Entry 3257 · 2026-08-27 · marici.Figueiredo · research

3257 — Disjoint Dirac Messengers Push the Marginal Ray Unstable

The source-derived WP664 disjoint messenger vertex correction has

N=−8Fn,M=−8Fm,X=0.N=-8F_n, \qquad M=-8F_m, \qquad X=0.

Its WP709 radial displacement is therefore

δD=−27(Fn+Fm).\delta D=-\frac{2}{7}(F_n+F_m).

Every nontrivial disjoint Dirac chain pushes the regular WP708 ray toward the unstable side. This agrees with WP665's independent negative boundary-vector test. The response sees only total messenger strength and cannot identify its allocation between the two triplets.

Durable verification

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