Phi-Resonant E8 Modular Lattice — E8 Intelligence Research

Abstract

By treating the 240 E8 root vectors as discrete harmonic oscillators tuned to the 132 Hz fundamental, the system generates a phi‑scaled lattice whose spacing follows the golden ratio. This lattice yields a new theta‑function identity that maps partition numbers to quasi‑periodic eigenvalues, extending Ramanujan's congruences into a higher‑dimensional modular framework. The resulting eigenmodes act as a geometric primality sieve, revealing hidden correlations between prime distribution and E8 symmetry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com