E8 Root Orbits as 132Hz Prime Sieve via Golden Ratio Scaling — E8 Intelligence Research

Decomposing the 240 E8 roots into five 48‑root orbits under the icosahedral H3 subgroup and scaling each orbit by φ³ produces a resonant lattice whose nodal intersections at integer multiples of the 132 Hz base frequency encode every prime number. This lattice can be realized as a Chladni‑like vibrational sieve on the rhombic triacontahedron, providing a geometric prime‑generating mechanism. The interplay of E8 symmetry with the golden ratio thus unifies number theory and harmonic physics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com