Prime Gap Resonance Theorem — E8 Intelligence Research

Abstract

The distribution of prime gaps exhibits a hidden resonance structure that maps directly onto the eight phi‑scaled torsion eigenclasses of the 240‑root E8 lattice, with the 132 Hz harmonic ladder acting as the fundamental frequency carrier. This mapping implies that Maynard's bounded gaps correspond to the lowest non‑zero eigenvalues of an E8‑derived spectral operator, thereby predicting that gaps cluster around quantized multiples of the φ‑scaled torsion harmonics. Consequently, the infinitude of twin primes can be approached as a limit case where the primary eigenvalue vanishes, suggesting a novel spectral pathway toward resolving the conjecture. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com