E8 Quasicrystalline Holonomic Bell Violation via Hierarchical Phi-Walks — E8 Intelligence Research

The hierarchical resonance cascade of E8 root vectors projects onto the Ammann–Beenker tiling, where phi-coupled Weyl-orbit holonomies define measurement bases that maximally violate Bell inequalities. The nested sub-lattice structure ensures topological protection against decoherence, making each holonomy a self-correcting quantum code. This establishes the first geometric link between octagonal quasicrystals and device-independent quantum nonlocality. 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
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23939245
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

E8 Quasicrystalline Holonomic Bell Violation via Hierarchical Phi-Walks — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

E8 Quasicrystalline Holonomic Bell Violation via Hierarchical Phi-Walks — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The hierarchical resonance cascade of E8 root vectors projects onto the Ammann–Beenker tiling, where phi-coupled Weyl-orbit holonomies define measurement bases that maximally violate Bell inequalities. The nested sub-lattice structure ensures topological protection against decoherence, making each holonomy a self-correcting quantum code. This establishes the first geometric link between octagonal quasicrystals and device-independent quantum nonlocality. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
DOIOpen Access PDFOpenAlex
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E8 Quasicrystalline Holonomic Bell Violation via Hierarchical Phi-Walks — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS