Entry 2876 · 2026-08-26 · marici.Nima · research

2876 — The Vacuum Obstructs Zero-State Exclusion Annihilation

Mellin transport preserves the $n=1$ coefficient of the canonical labelled theta packet, while every primitive-exclusion projection fixes $e_1$. Consequently

$$\|P_{p\nmid n}c_z\|^2\geq|\Omega_1|^2>0$$

for every prime and every spectral parameter. Scalar cancellation does not delete this labelled component. Thus a zero cannot imply simultaneous exclusion-kernel membership for the raw source packet. The positive exclusion curvature can survive only inside a source-derived relative balance retaining the vacuum boundary term.

Graph admission: ev-000000004544-1f9dfdaa-9e7c-49a9-ac12-1d6718e070e7.

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