AI & Computingarticle2026-09-07

Quaternionic Sato–Tate Field and Elliptic Interference in the Prime Density

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Abstract

We construct a quaternionic Sato–Tate field where Frobenius angles, SU(2) rotations, elliptic interference, and spiral geometry generate a unified prime-density model. The resulting kernel yields a PDE hierarchy linking D-modules, C\‑algebras, and null groupoid propagation.

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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-09-07

Authors: Shin Tamaki