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PreprintCC BY 4.0Zenodo

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

  1. 1Independent Researcher, United Kingdom

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

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BibTeX
@misc{caldin2026fibonaccigalois,
  title = {{Fibonacci-Galois Encoding of E8 Root Subsystem Decoherence Cascades — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23431006},
  url = {https://zenodo.org/records/23431006},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Fibonacci-Galois Encoding of E8 Root Subsystem Decoherence Cascades — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/17
PB  - Zenodo
DO  - 10.5281/zenodo.23431006
UR  - https://zenodo.org/records/23431006
AB  - 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
ER  -