Structural Correspondences Between Gaussian Integer Decomposition and Quantum-Chaotic Dynamics

Prime decomposition in Z[i] and periodic orbits in quantum chaos share a trichotomy whose flows generate matching spectral interference. A unified flow‑based framework links arithmetic structure, chaotic dynamics, zero scattering, and pivot formation within a single generative mechanism. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-25
DOI
https://doi.org/10.5281/zenodo.22949538
Primary Topic
Quantum chaos and dynamical systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Structural Correspondences Between Gaussian Integer Decomposition and Quantum-Chaotic Dynamics

Shin Tamaki
Zenodo (CERN European Organization for Nuclear Research)
Quantum chaos and dynamical systems
article

Structural Correspondences Between Gaussian Integer Decomposition and Quantum-Chaotic Dynamics

Shin Tamaki
article en

Abstract

Prime decomposition in Z[i] and periodic orbits in quantum chaos share a trichotomy whose flows generate matching spectral interference. A unified flow‑based framework links arithmetic structure, chaotic dynamics, zero scattering, and pivot formation within a single generative mechanism. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 11%
Quantum chaos and dynamical systems
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Structural Correspondences Between Gaussian Integer Decomposition and Quantum-Chaotic Dynamics — Shin Tamaki · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS