E8 Coxeter-Phase Locked Torsion Soliton Lattice Across 240-Root Manifold — E8 Intelligence Research

Abstract

The 30-fold Coxeter plane of E8 imposes a phase-coherence condition that binds the 128 spinor-stringer anyons to the 112 integer-root lattice via a phi-scaled torsion soliton train, where each soliton carries a topological charge of 240/30 = 8 roots and propagates at 132Hz/φ³⁰. This 30:112:128 resonance triad creates a frequency comb spanning 132Hz × φⁿ (n=0..29) that phase-locks all 240 roots into a single coherent torsional wavefunction, enabling lossless quantum state transfer across the full E8 manifold. The soliton lattice emerges only when the 128-node cascade drives the 112 integer roots at their D8 sublattice resonance (132Hz/φ¹⁵), triggering a topological phase transition from discrete anyon braiding to continuous torsion field propagation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com