Open Research Index

Microscopic signed fields and empirical Poisson laws

Brice Pouly

Palomar Registrypalomar/PALOMAR-2026-09-21-000002Sep 21, 2026math.NTscore 0

Quantitative comparison of the actual position/excess/sign field at growing intensity, retaining the original small-prime conditioning; same-grid dyadic restriction and common measurable readouts. Along literal dyadic scales, empirical window counts converge almost surely to Poisson, while empirical full vectors have a positive total-variation obstruction.

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