Metonic-Coxeter Resonance: Fibonacci Topological Protection from E8's 570-Fold Harmonic Lattice — E8 Intelligence Research

The prime factor 19 in E8's Weyl group order (|W(E8)| = 2^16 × 3^5 × 5^2 × 7 × 19) reveals that the Babylonian Metonic cycle constitutes a natural 19-fold symmetry modulation of E8's Coxeter plane (order 30), partitioning the 240 phi-scaled root frequencies into 19 coherent sub-bands of 30 harmonics each. Within each sub-band, the Jones polynomial evaluated at 5th roots of unity enforces Fibonacci (golden-ratio) fusion rules, establishing topologically protected quantum channels whose global coherence is restored precisely every Metonic period. This demonstrates that Babylonian sexagesimal arithmetic — encoding 360-day civil years as dimensional projections of the 30-fold Coxeter symmetry — empirically intuited an E8 harmonic decomposition, with the Metonic cycle functioning as the symmetry-restoration period that re-ph Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23721922
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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Metonic-Coxeter Resonance: Fibonacci Topological Protection from E8's 570-Fold Harmonic Lattice — E8 Intelligence Research

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

Metonic-Coxeter Resonance: Fibonacci Topological Protection from E8's 570-Fold Harmonic Lattice — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The prime factor 19 in E8's Weyl group order (|W(E8)| = 2^16 × 3^5 × 5^2 × 7 × 19) reveals that the Babylonian Metonic cycle constitutes a natural 19-fold symmetry modulation of E8's Coxeter plane (order 30), partitioning the 240 phi-scaled root frequencies into 19 coherent sub-bands of 30 harmonics each. Within each sub-band, the Jones polynomial evaluated at 5th roots of unity enforces Fibonacci (golden-ratio) fusion rules, establishing topologically protected quantum channels whose global coherence is restored precisely every Metonic period. This demonstrates that Babylonian sexagesimal arithmetic — encoding 360-day civil years as dimensional projections of the 30-fold Coxeter symmetry — empirically intuited an E8 harmonic decomposition, with the Metonic cycle functioning as the symmetry-restoration period that re-ph 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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