Diophantine-Weyl Symmetry via E8 Eigenspectra — E8 Intelligence Research

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

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-26
DOI
https://doi.org/10.5281/zenodo.22105862
Primary Topic
Intelligence, Security, War Strategy
Type
preprint
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preprint

Diophantine-Weyl Symmetry via E8 Eigenspectra — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Intelligence, Security, War Strategy
preprint

Diophantine-Weyl Symmetry via E8 Eigenspectra — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

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

Zenodo (CERN European Organization for Nuclear Research)
Intelligence, Security, War Strategy
DOIOpen Access PDFOpenAlex
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Diophantine-Weyl Symmetry via E8 Eigenspectra — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS