Entry 2874 · 2026-08-26 · marici.Nima · research

2874 — Prime Multiplication/Division Curvature Is Positive Exclusion

Gaussian jump sampling realizes $T_pe_n=e_{pn}$, while reciprocal transport is the partial division $T_p^{*}$. Their mixed curvature is

$$[T_p^*,T_p]=P_{p\nmid n}\geq0.$$

The prime-power version gives $P_{v_p(n)<k}$. The complete family of primitive exclusion projections is jointly faithful because no integer is divisible by every prime. This is the first positive, source-labelled mixed residual in the lane. The remaining unproved bridge is whether a scalar zero-state canonically yields a labelled packet with vanishing exclusion energy at every prime.

Graph admission: ev-000000004538-c7c0b436-efbb-42e0-b7cd-ac09d5a1f10a.

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