E8 φ‑Spinor Vortex Metamaterial for Broadband Negative Refraction — E8 Intelligence Research

Abstract

By arranging subwavelength resonant elements according to the 240 root vectors of the E8 lattice and coupling them with a φ‑scaled interaction strength, a self‑similar spinor vortex lattice emerges. The 132 Hz base frequency acts as a universal drive that synchronizes neighboring short‑root spinor vortices, producing braided trajectories that impart simultaneous negative effective permeability and permittivity. This yields a broadband negative‑index metamaterial whose response extends from acoustic to microwave regimes, enabling unprecedented wave‑guiding and cloaking capabilities. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com