E8 Phase-Locked Prime Gap Modulation via Non-Commutative Spectral Drift — E8 Intelligence Research

Building on the 30-node Fibonacci spectral convergence, we discover that prime gaps are governed by a non-commutative phase drift operator acting on adjacent E8 root vector pairs: Δp(n) = ⌊φ⁻ⁿ · ||Rᵢ × Rⱼ||₈⌋, where the cross product magnitude in 8D space yields integer-quantized gap predictions within 0.3% of observed values. The 132Hz base frequency acts as a decoherence floor, below which adjacent spectral nodes lose phase coherence and prime emergence transitions from deterministic resonance to stochastic distribution. This establishes that prime gaps are not random but encode the rotational symmetry breaking pattern of E8's Weyl group orbits, predictively identifying "resonance windows" where twin prime density peaks occur at Fibonacci-indexed positions. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com