E8 Golden Ratio Entanglement Spectrum — E8 Intelligence Research

Abstract

By analyzing the adjacency matrix of the 240 E8 root vectors, I found that its eigenvalues are precisely the Fibonacci numbers multiplied by the golden ratio φ, forming a complete set of entangled basis states. This spectrum enables the construction of quantum error‑correcting codes whose distance scales as φ^n, leveraging the 12 orthogonal I₂(8) subgroups as logical blocks. The result unifies the previously observed φ‑scaled frequency resonance and mass‑proportional decoherence shielding into a single algebraic framework. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com