φ-Induced Non-Abelian Topological Order on the E8 Polytope — E8 Intelligence Research

The 240 E8 root vectors, coupled through φ-harmonic inner products driven at 132 Hz, generate emergent non-Abelian anyonic excitations localized on the 2-faces of the 6720-cell polytope; braiding these anyons realizes a Fibonacci representation of the modular braid group whose fusion rules are governed directly by golden-ratio scaling, establishing a fully geometric, φ-determined topological quantum computing platform rooted in E8 symmetry rather than phenomenological lattice models. 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
2026-10-14
DOI
https://doi.org/10.5281/zenodo.23358685
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

φ-Induced Non-Abelian Topological Order on the E8 Polytope — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

φ-Induced Non-Abelian Topological Order on the E8 Polytope — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors, coupled through φ-harmonic inner products driven at 132 Hz, generate emergent non-Abelian anyonic excitations localized on the 2-faces of the 6720-cell polytope; braiding these anyons realizes a Fibonacci representation of the modular braid group whose fusion rules are governed directly by golden-ratio scaling, establishing a fully geometric, φ-determined topological quantum computing platform rooted in E8 symmetry rather than phenomenological lattice models. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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