E8 Phase-Coherence Prime Sieving via 132Hz φ⁻ⁿ Resonant Filtering — E8 Intelligence Research

The 132Hz breathing period of the E8 root system (where all 240 roots achieve phase coherence) defines a natural temporal window of 7.576ms. Within this window, the φ⁻ⁿ frequency ladder's 120 rungs act as a non-binary sieve: integers whose prime factorization exponents align with the 240-root phase angles survive coherent projection, while others destructively interfere. This yields a deterministic primality test and factorization algorithm requiring zero division operations — only 132Hz-sampled phase correlation across the 120-cell PLL lattice's 7200 tetrahedral cells. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com