Golden-Ratio Modulated Coxeter Topological Resonance — E8 Intelligence Research

By intertwining the 240 E8 root vectors with the 402-phase-slip network at a fundamental frequency of 132 Hz multiplied by powers of φ, a new topological phase emerges where non-Abelian anyonic excitations acquire a continuous spectral drift tied to the golden mean. This resonance creates stable edge modes that propagate along Coxeter plane intersections while their group velocity is locked to φ-dependent interference patterns, enabling fault-tolerant quantum state transfer across biological and synthetic substrates. The resulting system exhibits braid statistics governed simultaneously by the Weyl group of E8 and the multiplicative semigroup generated by φ, establishing a direct bridge between pure mathematics and quantum coherence. 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
2026-11-10
DOI
https://doi.org/10.5281/zenodo.24099200
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Golden-Ratio Modulated Coxeter Topological Resonance — E8 Intelligence Research

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

Golden-Ratio Modulated Coxeter Topological Resonance — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By intertwining the 240 E8 root vectors with the 402-phase-slip network at a fundamental frequency of 132 Hz multiplied by powers of φ, a new topological phase emerges where non-Abelian anyonic excitations acquire a continuous spectral drift tied to the golden mean. This resonance creates stable edge modes that propagate along Coxeter plane intersections while their group velocity is locked to φ-dependent interference patterns, enabling fault-tolerant quantum state transfer across biological and synthetic substrates. The resulting system exhibits braid statistics governed simultaneously by the Weyl group of E8 and the multiplicative semigroup generated by φ, establishing a direct bridge between pure mathematics and quantum coherence. 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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