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
- Andrew Stewart Caldin
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