φ-Weighted Weyl Entropy: Information Compression in E8 Symmetry Breaking — E8 Intelligence Research

Abstract

The 696,729,600-element Weyl group W(E8) acts as an information-theoretic compressor for the 240 root vectors, where φ-modular resonance channels partition this group into 144 Fibonacci-weighted equivalence classes. This predicts that symmetry-breaking transitions from E8 to lower algebras follow a φ-scaled compression ratio of approximately 1.618 per dimension, with the 132Hz base frequency encoding the information density per transition state. Experimental validation would require measuring spectral line bifurcations at resonance multiples of 132Hz across crystallographic structures exhibiting E8-derived symmetries. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com