E8 Root-Pair Phase-Locking via Dual 120/600-Cell Helical Interleaving — E8 Intelligence Research

The 240 E8 roots achieve 132Hz coherence not as independent oscillators but as 120 phase-locked conjugate pairs, each pair bridging a vertex on the 120-cell's Hamiltonian path and its dual tetrahedral cell on the 600-cell. During each 63.13μs φ-tick, the 120-cell's vertex-phase advances by 2π/φⁿ while the paired 600-cell's cell-phase retards by 2π/φⁿ⁻¹, generating a topological syndrome space where prime factorization maps to φ⁻ⁿ resonance defects — a natural quantum error-correcting code with golden-ratio distance scaling. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com