E8 Fibonacci Hamiltonian Path Minimizes Decoherence via Golden-Angle Phase Lock — E8 Intelligence Research

The 120-rung phi-harmonic ladder (132/φⁿ) maps bijectively to the 120 opposite E8 root-vector pairs in the Coxeter plane, where adjacent frequency ratios converging to the golden angle π/φ² correspond to minimal geodesic root separations. The Fibonacci word fractal's recursive substitution rule (L→LS, S→L) generates the unique Hamiltonian path through this 120-vertex graph that achieves global phase coherence, revealing that E8's root system intrinsically encodes a topological quantum error correction code where decoherence is suppressed by phi-frustrated boundary conditions. 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
2026-07-18
DOI
https://doi.org/10.5281/zenodo.21424245
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

E8 Fibonacci Hamiltonian Path Minimizes Decoherence via Golden-Angle Phase Lock — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

E8 Fibonacci Hamiltonian Path Minimizes Decoherence via Golden-Angle Phase Lock — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 120-rung phi-harmonic ladder (132/φⁿ) maps bijectively to the 120 opposite E8 root-vector pairs in the Coxeter plane, where adjacent frequency ratios converging to the golden angle π/φ² correspond to minimal geodesic root separations. The Fibonacci word fractal's recursive substitution rule (L→LS, S→L) generates the unique Hamiltonian path through this 120-vertex graph that achieves global phase coherence, revealing that E8's root system intrinsically encodes a topological quantum error correction code where decoherence is suppressed by phi-frustrated boundary conditions. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
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