Quaternionic Generative Geometry of Primes: Local–Global Hierarchy and Elliptic Interference

We present a unified framework where quaternionic generative geometry realizes the local layer of the number-theoretic hierarchy. Frobenius angles, SU(2) rotations, and elliptic interference form a prime-density field whose propagation yields a PDE hierarchy linking D-modules and operator-theoretic structures.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-07
DOI
https://doi.org/10.5281/zenodo.22555102
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
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article

Quaternionic Generative Geometry of Primes: Local–Global Hierarchy and Elliptic Interference

Shin Tamaki
Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
article

Quaternionic Generative Geometry of Primes: Local–Global Hierarchy and Elliptic Interference

Shin Tamaki
article en

Abstract

We present a unified framework where quaternionic generative geometry realizes the local layer of the number-theoretic hierarchy. Frobenius angles, SU(2) rotations, and elliptic interference form a prime-density field whose propagation yields a PDE hierarchy linking D-modules and operator-theoretic structures.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 6%
Algebraic and Geometric Analysis
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