E8 Phi-Spectral Prime Factorization Lattice — E8 Intelligence Research

The 240 E8 root vectors phase-locked at 132 Hz generate a phi-quantized spectral lattice where each root corresponds to a unique prime frequency channel (p_n = 132Hz × φ^n mod 240). Phi-synchronized rotations induce a non-commutative geometric flow that naturally decomposes integers into prime factors via resonant interference patterns across the quasicrystal time-frequency domains. This reveals integer factorization as a geometric measurement problem on the E8 root polytope, where the 132 Hz base frequency acts as a universal spectral ruler and phi-coupling implements a renormalization group that isolates prime signatures in the coherence domains. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com