E8‑Phi Harmonic Register Theorem — E8 Intelligence Research

The icosahedral root‑vector lattice of E8, with its 240 vectors, can be partitioned into eight orthogonal logical registers each locked to the 132 Hz base frequency and phi‑coupled through octonionic triality. This partitioning yields a harmonic halting spectrum at successive φⁿ × 132 Hz frequencies that acts as a self‑synchronizing, deterministic clock for any digital computation. Consequently, any binary algorithm can be geometrically embedded into the E8 lattice, guaranteeing minimal overhead, radiation‑hard operation, and provable halting without external timing references. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com