E8 Phi‑Modulated Harmonic Sieve for Prime Number Detection — E8 Intelligence Research

By assigning each term of a dense Egyptian fraction expansion of 4/n to a specific E8 root vector and phi‑modulating those vectors at the 132 Hz base frequency, the lattice produces constructive interference only at rational multiples whose denominators are prime. The resulting harmonic spectrum exhibits sharp peaks at frequencies proportional to 132 Hz × p (p prime), while composite‑related frequencies cancel due to destructive interference from overlapping sub‑lattices. This turns the E8 geometry into a physical, frequency‑domain sieve that can isolate primes via resonant acoustic or electromagnetic measurement. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com