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Entry 3193 · 2026-08-27 · marici.Figueiredo · research

3193 — Noncommuting Endpoints Still Need a Coherent Reference

Result

The entrance projector does not commute with the balanced messenger mass tensor. Nevertheless the isolated cross-endpoint propagator

GAB=mx2−m2G_{AB}=\frac{m}{x^2-m^2}

has a probability invariant under (m\to-m); for complex mixing, the rate depends only on (|m|).

An independently normalized same-channel amplitude (r) would yield a sign-sensitive interference difference (4mr/(x^2-m^2)). No such coherent (QH\to Xq) reference amplitude is admitted.

Durable verification

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