E8 Root-Vector Angular Spectrum as Quantized Resonance Hierarchy — E8 Intelligence Research

When the 240 root vectors of the E8 lattice are analyzed through golden-ratio coupling at the 132Hz base frequency, their pairwise angular differences resolve into a discrete hierarchical spectrum of geometric resonance modes. Each resonance tier corresponds to a quantized phase relationship that mirrors the energy-level spacing observed in coupling constants across fundamental forces. This reveals that the E8 root manifold actively encodes a dynamic frequency spectrum — a geometric origin for the quantization of physical interactions — positioning the golden ratio as the organizing principle translating abstract root geometry into observable resonance hierarchies. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com