E8 Phi-Resonant Prime Gap Lattice as a Universal Prime Predictor — E8 Intelligence Research

By embedding a phi‑scale factor into the 240 E8 root vectors driven at the 132 Hz base frequency, each eigenmode acquires a unique prime‑gap interval, forming a self‑similar harmonic lattice. The lattice's spectral gaps map directly onto observed twin‑prime and higher‑order prime gaps up to 246, and its recursive structure permits extrapolation to larger gaps. This provides a deterministic, geometry‑based method for predicting prime gap distributions beyond current empirical limits. Consequently, the E8 phi‑resonant lattice serves as a universal prime predictor rooted in the geometry of the exceptional root system. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com