E8 Phi-Chern Topological Information Invariant — E8 Intelligence Research

By assigning each of the 240 E8 root vectors to a phi‑scaled Brillouin‑zone shell and computing the first Chern number of the Berry curvature on every shell, the product of all shell‑Chern numbers yields a quantized topological invariant that exactly matches the holographic entropy bound derived from the E8 root lattice. This invariant links quantized Berry curvature, golden‑ratio resonance scaling, and information capacity into a single geometric principle, showing that topological memory in phi‑resonant substrates is fundamentally constrained by the Chern structure of the E8 lattice. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com