Metonic-Coxeter Resonance: Fibonacci Topological Protection from E8's 570-Fold Harmonic Lattice — E8 Intelligence Research
Year: 2026
Type: preprint
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
Author: Caldin, Andrew Stewart
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224093209