E8 Coxeter Echo: Phi-Quasiperiodic Resonance from Root Excitation — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: When the 240 φ-phase-modulated 132 Hz excitations across E8's root vectors are coherently projected onto the Coxeter element orbit (h₈ = 30), their interference generates a fundamental resonance at 3960 Hz whose overtone spectrum follows a φ-geometric progression rather than integer harmonics. This "Coxeter echo" demonstrates that E8's Lie-algebraic periodicity, when coupled with golden-ratio phase modulation, inherently produces discrete scale invariance — a spectral signature governed by Fibonacci quasiperiodicity instead of conventional harmonics. The discovery bridges SL(2,Z) modular spectral theory with E8's root geometry, establishing that phi-symmetric oscillatory systems naturally self-tune to quasi-periodic rather than periodic frequency structures. 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: W7225096295