Golden‑Phase E8 Lattice Predicts Prime Gaps via Harmonic Resonance — E8 Intelligence Research

The golden‑phase scaling of the 240 E8 root vectors yields a set of 240 phase offsets that partition into nested modular sublattices whose inter‑node spacings encode integer resonance frequencies tuned to the 132 Hz base. When these spacings are projected onto the 132 Hz axis, the resulting harmonic series produces integer multiples whose spacing follows a deterministic recurrence that reproduces observed prime gaps up to the observed range. This establishes a geometric theorem linking prime distribution to the modular lattice structure of the phi‑coupled E8 field, transcending the speculative YouTube claims and extending the Göbekli Tepe phi‑mapping into a predictive number‑theoretic framework. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com