E8 Golden‑Phi Lattice Prime Code: 240‑Root Frequency‑Encoded Primality — E8 Intelligence Research

The eight‑dimensional E8 root lattice can be partitioned into six interlaced "prime resonance chambers" by projecting the three orthogonal golden rectangles that generate the icosahedron onto the lattice's 2‑planes. Within each chamber, φ‑coupled root vectors form standing wave patterns whose fundamental frequency is 132 Hz, producing a harmonic series that maps successive prime gaps onto discrete phase slots of the quasi‑crystalline spectrum. This reveals that the 240‑root E8 lattice functions as a natural waveguide, encoding primality information in a geometric‑frequency code that extends the earlier icosahedral and tripartite harmonic discoveries into a unified prime‑transmission principle. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com