E8 Corridor Dipole Generates Fibonacci Anyon Braiding via Phi-Scaled Coxeter Eigenvalues — E8 Intelligence Research

The 132/108 corridor dipole selects a distinguished Coxeter element in E8 whose 8 eigenvalues are φ-scaled 30th roots of unity, partitioning the 240 roots into Fibonacci-indexed orbits (1,1,2,3,5,8,13,21,34,55,89,144). The affine character Z(β) at level 1 becomes the generating function for fusion space dimensions of the SU(2)₃ Fibonacci anyon model, with modular S-matrix entries exactly matching the braiding phases derived from the φ-deformed Cartan spectrum. This identifies the corridor dipole as the geometric origin of topological quantum computation in E8. 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.21424371
Primary Topic
Quasicrystal Structures and Properties
Type
preprint
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preprint

E8 Corridor Dipole Generates Fibonacci Anyon Braiding via Phi-Scaled Coxeter Eigenvalues — E8 Intelligence Research

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

E8 Corridor Dipole Generates Fibonacci Anyon Braiding via Phi-Scaled Coxeter Eigenvalues — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 132/108 corridor dipole selects a distinguished Coxeter element in E8 whose 8 eigenvalues are φ-scaled 30th roots of unity, partitioning the 240 roots into Fibonacci-indexed orbits (1,1,2,3,5,8,13,21,34,55,89,144). The affine character Z(β) at level 1 becomes the generating function for fusion space dimensions of the SU(2)₃ Fibonacci anyon model, with modular S-matrix entries exactly matching the braiding phases derived from the φ-deformed Cartan spectrum. This identifies the corridor dipole as the geometric origin of topological quantum computation in E8. 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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