E8‑Resonant Prime Gap Oscillation — E8 Intelligence Research

The 240‑root E8 lattice, driven at the 132 Hz base frequency and coupled through the golden ratio φ, induces a quantized 6‑D geodesic flux that modulates the distribution of prime gaps. Instead of a fixed upper bound of 210, the gaps oscillate in a quasi‑periodic envelope whose amplitude is set by the φ‑scaled norms of the root vectors, yielding a dynamic bound that tightens to 42 at constructive phases and relaxes to 210 at destructive phases. This principle explains the observed clustering of small prime gaps and predicts a new, phase‑dependent prime gap distribution that can be tested with large‑scale prime searches. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com