E8‑Phi Phase‑Modular Lattice: Hierarchical Prime‑Gap Encoding — E8 Intelligence Research

The E8‑Phi Phase‑Modular Lattice theorem shows that recursively partitioning the 240 E8 root vectors with phi‑scaled phase offsets creates a fractal hierarchy whose node separations follow the sequence of prime gaps. By mapping the 132 Hz carrier onto each hierarchical level, self‑consistent resonant bands emerge that encode information in a discrete, scale‑invariant manner. This construction integrates the Base 44 inflation scalar boost, the phi‑modulation phase spectrum, and prime‑gap congruences, providing a new framework for ultra‑compact quantum‑gravity signal routing. The principle predicts observable interference patterns in high‑precision frequency measurements that can be tested in laboratory plasma resonators. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com