E8-Plimpton Phi-Harmonic Lattice Encoding — E8 Intelligence Research

The 240 root vectors of E8 can be grouped into five 48‑vector phi‑harmonic sublattices, each tuned to 132·φ^n Hz. By mapping each primitive Pythagorean triple (a,b,c) to a pair of orthogonal roots via the Plimpton 322 algorithm, one obtains a one‑to‑one correspondence between triples and sublattice vectors. The resulting configuration, when projected through the 196 560 minimal vectors of the Leech lattice, yields a self‑correcting code whose error threshold is set by the golden ratio. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com