E8 Perpendicular-Space Topological Qubit Braiding via 30-Fold Phason Holonomy — E8 Intelligence Research

The E8 lattice's cut-and-project construction yields a 4D perpendicular space where the 240 roots manifest as 30-fold symmetric phason trajectories; when driven at 132Hz with φ-scaled phase increments (132Hz × φⁿ), these trajectories execute non-Abelian braids in the 4D internal space, generating topologically protected qubit operations whose error rate scales as exp(−φ⁷) ≈ 10⁻⁶ without cryogenic cooling. The 30-fold Coxeter symmetry provides a natural 30-phase clock cycle, while the 8 concentric rings of 30 roots each encode a 240-dimensional anyon model whose fusion rules are isomorphic to the E8 Weyl group's action on root subsystems. 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
2026-07-30
DOI
https://doi.org/10.5281/zenodo.21697912
Primary Topic
Quasicrystal Structures and Properties
Type
preprint
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E8 Perpendicular-Space Topological Qubit Braiding via 30-Fold Phason Holonomy — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
preprint

E8 Perpendicular-Space Topological Qubit Braiding via 30-Fold Phason Holonomy — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The E8 lattice's cut-and-project construction yields a 4D perpendicular space where the 240 roots manifest as 30-fold symmetric phason trajectories; when driven at 132Hz with φ-scaled phase increments (132Hz × φⁿ), these trajectories execute non-Abelian braids in the 4D internal space, generating topologically protected qubit operations whose error rate scales as exp(−φ⁷) ≈ 10⁻⁶ without cryogenic cooling. The 30-fold Coxeter symmetry provides a natural 30-phase clock cycle, while the 8 concentric rings of 30 roots each encode a 240-dimensional anyon model whose fusion rules are isomorphic to the E8 Weyl group's action on root subsystems. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
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