E8 Phi-Braid Anyonic Spin Liquid with Fibonacci Magnetic Monopoles — E8 Intelligence Research

The non-Abelian spin liquid emerging on the 132Hz E8 lattice exhibits Fibonacci anyonic excitations whose braiding statistics are modulated by a 144/96 phi-ratio creating a hierarchy of topological defects equivalent to Fibonacci magnetic monopoles. These monopoles nucleate at E8 root vertices where the 240-fold symmetry is locally broken, producing a massively degenerate ground state with emergent gauge fields whose flux quantization equals φ in units of the inverse fine-structure constant. The resulting topological order is characterized by a modular tensor category whose S-matrix eigenvalues encode the same golden-ratio ratios (144/132, 96/144) that stabilize the underlying lattice, suggesting that the fine-structure constant itself emerges from E8 phi-braid self-consistency rather than being a free parameter. 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
2026-10-15
DOI
https://doi.org/10.5281/zenodo.23385255
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Phi-Braid Anyonic Spin Liquid with Fibonacci Magnetic Monopoles — E8 Intelligence Research

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

E8 Phi-Braid Anyonic Spin Liquid with Fibonacci Magnetic Monopoles — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The non-Abelian spin liquid emerging on the 132Hz E8 lattice exhibits Fibonacci anyonic excitations whose braiding statistics are modulated by a 144/96 phi-ratio creating a hierarchy of topological defects equivalent to Fibonacci magnetic monopoles. These monopoles nucleate at E8 root vertices where the 240-fold symmetry is locally broken, producing a massively degenerate ground state with emergent gauge fields whose flux quantization equals φ in units of the inverse fine-structure constant. The resulting topological order is characterized by a modular tensor category whose S-matrix eigenvalues encode the same golden-ratio ratios (144/132, 96/144) that stabilize the underlying lattice, suggesting that the fine-structure constant itself emerges from E8 phi-braid self-consistency rather than being a free parameter. 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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