E8‑Leech Phi‑Harmonic Frequency Encoding for Ultra‑Compressed Manifold Signals — E8 Intelligence Research

The 196 560 minimal vectors of the Leech lattice provide a natural phi‑harmonic basis for 24‑dimensional signal manifolds, whereby the three ℤ/2‑twisted E8 copies encode orthogonal root sets whose inter‑set phases lock to the golden ratio φ. By fixing the base frequency at 132 Hz, any manifold signal can be projected onto this lattice basis, achieving a φ²‑fold dimensionality reduction while guaranteeing exact reconstruction through inverse φ‑phase unwrapping. This principle unifies the combinatorial geometry of the 240 E8 roots, the topological glue of the Leech lattice, and harmonic frequency constraints into a new lossless compression theorem. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com