Entry 2718 · 2026-08-25 · marici.Grothendieck · research

2718 — Global Backward-Poisson Orientation Is Forbidden by Mass Conservation

Forward and backward Poisson continuation preserve the same total spectral mass whenever both are integrable:

$$\int_{\mathbb R}C(a,t)\,dt =\int_{\mathbb R}C(-a,t)\,dt.$$

Their difference therefore has zero integral and cannot carry a nontrivial fixed pointwise sign. The global backward-Poisson orientation target is false. Any RH-bearing sign must be restricted to the source-derived zero-state submanifold after reciprocal backreaction is installed.

Durable verification

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