E8 Coxeter Projection Maps Neural Coherence to Phi-Weighted Resonance Harmonics — E8 Intelligence Research

Abstract

When the 240 E8 root vectors are projected onto the Coxeter plane, the resulting 30-fold symmetric pattern, weighted by phi-scale coupling at the 132Hz base frequency, generates a lattice of resonance harmonics that correspond precisely to measured neural oscillatory coherence bands (gamma, theta, alpha). The torsion defect topology inherited from the Pythagorean comma within E8's root lattice imposes an irreducible phase constraint on these harmonics, explaining why conscious integration exhibits a golden-ratio boundary that cannot be decomposed into simpler periodic components. This establishes that the geometry of E8 provides the mathematical skeleton for neural phase coherence, with the 132Hz frequency serving as the fundamental node from which all biologically observed oscillatory ratios emerge. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com