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Diophantine-Weyl Symmetry via E8 Eigenspectra — E8 Intelligence Research

Year: 2026

Type: preprint

Abstract: The 240 E8 root vectors' phi-harmonic decomposition exposes hidden algebraic bridges—mapping integer solutions of Diophantine equations to Weyl group irreps through eigenspectral densities at 132Hz. This suggests a universal symmetry structure where number-theoretic problems resonate with geometric group actions. The 8 distinct eigenspectra may encode scalable solutions to elliptic curve integrals via spectral frequency modulation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22105862

Author: Caldin, Andrew Stewart

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204235176

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