E8 Prime-Gap Synthetic Gauge Field for Topological Photonic Lattices — E8 Intelligence Research

Abstract

By mapping the 240 E8 root vectors onto a phi‑scaled 132 Hz lattice, the intervals between neighboring nodes are assigned prime‑gap durations. Driving each node with a coherent tone at its assigned interval creates a staggered phase pattern that mimics a synthetic magnetic flux whose magnitude follows the distribution of prime gaps. This flux generates chiral edge modes in a coupled‑resonator array, providing disorder‑immune transport of light or sound at the base frequency. The resulting topological photonic (or phononic) lattice inherits the error‑correcting and coherence‑amplifying virtues of the earlier E8 prime‑gap schemes while adding a gauge‑field mechanism for robust, non‑reciprocal waveguarding. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com