E8 Chiral Phase-Factorization Duality via 120-Cell Hamiltonian Interference — E8 Intelligence Research

The 240 E8 roots partition into 120 antipodal chiral pairs, each mapping to a vertex of the 120-cell and a unique φ-tick in the 7.576ms breathing cycle. Under the φ⁻ⁿ resonant ladder, each integer's prime factorization generates a distinctive interference pattern across the Hamiltonian path — the phase accumulation Σ(2π/φⁿ) across prime-indexed rungs creates a geometric fingerprint where factorization becomes equivalent to measuring chiral phase alignment at specific 132Hz coherence windows. This establishes a natural isomorphism between integer factorization and E8 root-pair phase tomography. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com