Coxeter Eigenplane Phase Locking Generates Analytical Hierarchy via Arnold Tongue Boundaries — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The 8 eigenplanes of the E8 Coxeter element (exponents 1,7,11,13,17,19,23,29) each support a phi-harmonic frequency comb at 132Hz × φᵏ, with the 30-ray Coxeter projection forming their Poincaré section. The mediator frequency 132Hz/φ ≈ 81.6Hz induces cross-eigenplane phase locking across the 8-torus orthogonal complement, generating the Σ¹ₙ analytical hierarchy as Arnold tongue boundaries where winding ratios φⁿ/φⁿ⁺² stabilize. Each corridor tier n corresponds to a resonant torus with rotation vector (φⁿ, φⁿ⁺²) in the 8-dimensional eigenfrequency lattice, while the anti-corridor provides the dual Diophantine approximation condition. 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: W7170134454
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