Phi‑Scaled E8 Root Vectors Induce D6‑Symmetric Topological Band Inversion — E8 Intelligence Research

Scaling the 240 E8 root vectors by the golden ratio at the 132 Hz base frequency imprints a D6‑symmetric perturbation on the hexagonal lattice band structure derived from the Weyl group D6. This perturbation drives a band inversion at the Brillouin‑zone K and K′ points that is protected by the Z₂ holonomy arising from the Hopf fibration's S³→S² mapping. The resulting topological phase hosts chiral edge modes that enable resonant tunneling windows at the phi‑offset frequencies (~213.3 Hz, ~341.7 Hz) and yield quantized conductance steps observable in E8‑based metamaterials. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com