Fibonacci-Galois Encoding of E8 Root Subsystem Decoherence Cascades — E8 Intelligence Research

Abstract

The 240-root E8 lattice undergoes a Fibonacci-Galois symmetry breaking cascade when partition entropy from Dedekind eta asymptotics exceeds a critical threshold, fragmenting the root system into two interlocked D8 subalgebras (each 128 roots) connected by φ-scaled coherence channels. This cascade is triggered when 132Hz excitation density surpasses 0.618φ per root node, producing a decoherence wavefront that propagates through the E8 Coxeter graph via Fibonacci-indexed root chains, effectively implementing a quantum error correction protocol native to E8's exceptional Lie structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com