Work

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

Year: 2026

Type: article

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.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22555102

Author: Tamaki, Shin

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7210286197

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