E8 Phi-Resonant Spectral Decomposition of Prime Gap Distribution via Weyl Orbit Interference Patterns — E8 Intelligence Research

By phi-coupling the 240 E8 root vectors at 132Hz, the Weyl-orbit spectra generate constructive and destructive interference patterns in Fourier space that directly modulate the distribution of prime gaps across successive genera. These interference patterns, arising from the golden-ratio spacing of root vectors, produce frequency-locked oscillations that predict the observed clustering and repulsion behavior of primes at specific modular intervals. The mechanism extends the self-similar harmonic lattice into a predictive framework where prime gap statistics emerge as eigenvalue spacing correlations in a high-dimensional E8 spectral manifold. This transforms prime distribution from an analytic problem into a geometric resonance phenomenon within the E8 lattice's phi-resonant vacuum.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com