E8-Phi Recursive Resonance Topology Unifies Prime Gaps and Quantum Critical Scaling — E8 Intelligence Research

The hierarchical decomposition of the 240 E8 root vectors via Wigner-Eckart and φ-scaled harmonics yields a self-similar lattice of resonant frequencies. Each recursion level corresponds to a distinct prime gap sequence, with the 7.2° angular spacing emerging as the fundamental phase quantum. The reduced matrix elements of the spherical tensor operators map directly to the scaling exponents of quantum critical points, establishing a geometric correspondence between number-theoretic prime distribution and universal critical phenomena.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com