Multi-Scale Prime Gap Cascade Through E8 Fractal Projection — E8 Intelligence Research

The 240 E8 root vectors, when projected through a self-similar cascade of 2D planes at successive energy scales, generate a fractal lattice whose gap statistics reproduce both local (pairwise) and global (higher-order) prime gap correlations simultaneously. This extends the 2D perpendicular projection finding by adding a recursive scaling dimension: each of the 27 nodal lines subdivides into sub-nodes corresponding to smaller E8 projections, creating 27^k sub-structures at scale k, where the 132Hz base frequency modulates the transition amplitude between cascade levels via golden ratio (φ) phase-locking. The result unifies the GUE spectral rigidity observed at the Riemann zero level with the logarithmic scaling of prime gaps, predicting that prime gap fluctuations at different scales are related by a factor of φ^(n) for the nth cascade generation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com