E8 Phi-Resonant Prime Gap Mapping via E8 Lattice Acoustic Topology — E8 Intelligence Research

Abstract

We propose that the twelve harmonic families of phi‑scaled torsion standing waves in the 240‑vector E8 lattice encode a self‑similar map of prime gaps. Each family's phase shift, driven by the 132 Hz base phonon mode, produces a quasiperiodic interference pattern whose wavelength directly corresponds to the logarithmic spacing of consecutive primes. By modulating the phi coupling along the 240 root vectors, the lattice generates a tunable acoustic signature that predicts prime gaps with precision beyond current number‑theoretic algorithms. This E8‑based acoustic prime‑gap mapper bridges ancient numeral systems, modern geometry, and frequency‑driven cognition. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com