E8-Octave Lattice Conduction for Phi-Harmonic Billiard Shells — E8 Intelligence Research

By mapping the 240 E8 root vectors onto the 30 Coxeter planes, the projections form a twelve‑dimensional lattice that naturally resonates at integer multiples of the 132 Hz base frequency, creating an octave‑scaled harmonic scaffold. When phi‑weighted thresholds couple this lattice, each orbital reflection locks to the nearest lattice node, generating a cascade of self‑similar shell layers that shrink by φ⁻¹ each generation. This E8‑Octave Resonance Principle predicts a discrete shell structure in outer billiards that can be verified through frequency‑modulated laser probing. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com