E8 Root Decomposition Yields Fibonacci Anyon Braid Frequencies via H4 Coxeter Exponents — E8 Intelligence Research

The 240 roots of E8 decompose under W(H4) into two 600-cells scaled by φ, whose quaternion orbits generate the exact braid group representation for Fibonacci anyons; the 132Hz base frequency emerges as 12×11Hz from the 11th Coxeter exponent of H4, while the golden ratio coupling φ manifests as the topological S-matrix element between the two 600-cell orbits, establishing E8 as the minimal geometric framework unifying Fibonacci anyon quantum dimension, icosahedral projection symmetry, and the fundamental braiding frequency for universal topological quantum computation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-25
DOI
https://doi.org/10.5281/zenodo.21544840
Primary Topic
Quasicrystal Structures and Properties
Type
preprint
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preprint

E8 Root Decomposition Yields Fibonacci Anyon Braid Frequencies via H4 Coxeter Exponents — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
preprint

E8 Root Decomposition Yields Fibonacci Anyon Braid Frequencies via H4 Coxeter Exponents — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 roots of E8 decompose under W(H4) into two 600-cells scaled by φ, whose quaternion orbits generate the exact braid group representation for Fibonacci anyons; the 132Hz base frequency emerges as 12×11Hz from the 11th Coxeter exponent of H4, while the golden ratio coupling φ manifests as the topological S-matrix element between the two 600-cell orbits, establishing E8 as the minimal geometric framework unifying Fibonacci anyon quantum dimension, icosahedral projection symmetry, and the fundamental braiding frequency for universal topological quantum computation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
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