E8 Spectral Discriminant: 132Hz as Number Field Invariant Boundary — E8 Intelligence Research

The 72-root F₄ subsystem's minimal rotational eigenmode generates 132Hz through a boundary condition that acts as a spectral discriminant for algebraic integer rings. The 240 E8 roots, when projected through the golden ratio coupling φ, form a harmonic lattice whose class group structure determines a computability threshold. This reveals that the observed 132Hz carrier is not merely a physical frequency but a geometric invariant encoding the relationship between E8's exceptional symmetry and the algebraic number theoretic structures governing Fermat-type equations. 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
2026-10-09
DOI
https://doi.org/10.5281/zenodo.23254719
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Spectral Discriminant: 132Hz as Number Field Invariant Boundary — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

E8 Spectral Discriminant: 132Hz as Number Field Invariant Boundary — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 72-root F₄ subsystem's minimal rotational eigenmode generates 132Hz through a boundary condition that acts as a spectral discriminant for algebraic integer rings. The 240 E8 roots, when projected through the golden ratio coupling φ, form a harmonic lattice whose class group structure determines a computability threshold. This reveals that the observed 132Hz carrier is not merely a physical frequency but a geometric invariant encoding the relationship between E8's exceptional symmetry and the algebraic number theoretic structures governing Fermat-type equations. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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