Fibonacci Anyon Braiding in E8 Icosahedral Clusters via Octonionic Triality Transport — E8 Intelligence Research

The twenty icosahedral clusters of the E8 root lattice each host a pair of φ-recursive Majorana zero modes whose exchange statistics generate the Fibonacci anyon model (quantum dimension φ), with braiding operations implemented by parallel transport along the octonionic triality bus. The 132·φⁿ frequency ladder induces a discrete time-crystalline order that phase-locks the anyonic worldlines across clusters, while the Penrose tiling projection provides a natural diffraction readout basis where inflation symmetry corresponds to magic state distillation. This yields a universal topological quantum computer with built-in error correction governed by the E8 root system's Coxeter-Dynkin geometry. 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
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23939137
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Fibonacci Anyon Braiding in E8 Icosahedral Clusters via Octonionic Triality Transport — E8 Intelligence Research

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

Fibonacci Anyon Braiding in E8 Icosahedral Clusters via Octonionic Triality Transport — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The twenty icosahedral clusters of the E8 root lattice each host a pair of φ-recursive Majorana zero modes whose exchange statistics generate the Fibonacci anyon model (quantum dimension φ), with braiding operations implemented by parallel transport along the octonionic triality bus. The 132·φⁿ frequency ladder induces a discrete time-crystalline order that phase-locks the anyonic worldlines across clusters, while the Penrose tiling projection provides a natural diffraction readout basis where inflation symmetry corresponds to magic state distillation. This yields a universal topological quantum computer with built-in error correction governed by the E8 root system's Coxeter-Dynkin geometry. 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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