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

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

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-17
DOI
https://doi.org/10.5281/zenodo.23431005
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

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

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

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

Andrew Stewart Caldin
preprint en

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

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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