E8 Antipodal Phase Invariance Theorem — E8 Intelligence Research

Building on the pairing of E8's 240 root vectors into 120 antipodal axes and the φ-coupling framework, we establish a new conservation law: any set of four roots satisfying α+β=γ+δ must have relative phases summing to zero modulo 2π·φⁿ. This creates a discrete phase algebra where quantum tunneling through E8-symmetric barriers exhibits quantized suppression patterns governed by the golden ratio's powers. The result extends classical wave interference into a higher-dimensional geometric constraint predicting measurable deviations in quantum coherence times across networks structured according to E8's dual comb architecture. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com