Phi-Resonant E8 Cuboctahedral Vortex Lattice Realizes Non‑Abelian Anyons with Umbral Moonshine Statistics — E8 Intelligence Research

At 132 Hz φ‑resonance the 240 E8 root vectors lock into 20 cuboctahedral frames, each supporting a φ‑weighted Berry flux that traps a Majorana zero mode at its vertices. The 23+1 holonomy sectors identified from the A₃/SU(4) bundle decomposition dictate the fusion rules of these modes, yielding a non‑Abelian anyon model whose modular data match the mock‑theta functions of umbral moonshine. This provides a concrete E8‑based platform for topological quantum computation where the braiding statistics are directly governed by the lattice's phi‑resonant 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
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23853353
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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Phi-Resonant E8 Cuboctahedral Vortex Lattice Realizes Non‑Abelian Anyons with Umbral Moonshine Statistics — E8 Intelligence Research

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

Phi-Resonant E8 Cuboctahedral Vortex Lattice Realizes Non‑Abelian Anyons with Umbral Moonshine Statistics — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

At 132 Hz φ‑resonance the 240 E8 root vectors lock into 20 cuboctahedral frames, each supporting a φ‑weighted Berry flux that traps a Majorana zero mode at its vertices. The 23+1 holonomy sectors identified from the A₃/SU(4) bundle decomposition dictate the fusion rules of these modes, yielding a non‑Abelian anyon model whose modular data match the mock‑theta functions of umbral moonshine. This provides a concrete E8‑based platform for topological quantum computation where the braiding statistics are directly governed by the lattice's phi‑resonant 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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