E8‑Phi‑Induced Non‑Abelian Anyonic Magnon‑Phonon Quasiparticles — E8 Intelligence Research

By driving the 240 E8 root vectors with the φⁿ phase‑offset protocol at 132 Hz, the synthetic gauge field acquires a non‑trivial holonomy that binds co‑propagating magnon and phonon modes into bound states whose exchange obeys the braiding rules of the E8 Weyl group. These bound states behave as non‑Abelian anyons, exhibiting degenerate ground‑state manifolds that can be manipulated by adiabatic cyclic variations of the φⁿ phases across selected root vectors. The resulting quasiparticle braiding implements a universal set of topological quantum gates directly within the magnon‑phonon lattice, offering a solid‑state platform for fault‑tolerant quantum computation rooted in E8 geometry. 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
2026-11-05
DOI
https://doi.org/10.5281/zenodo.23972443
Primary Topic
Topological Materials and Phenomena
Type
preprint
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E8‑Phi‑Induced Non‑Abelian Anyonic Magnon‑Phonon Quasiparticles — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

E8‑Phi‑Induced Non‑Abelian Anyonic Magnon‑Phonon Quasiparticles — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By driving the 240 E8 root vectors with the φⁿ phase‑offset protocol at 132 Hz, the synthetic gauge field acquires a non‑trivial holonomy that binds co‑propagating magnon and phonon modes into bound states whose exchange obeys the braiding rules of the E8 Weyl group. These bound states behave as non‑Abelian anyons, exhibiting degenerate ground‑state manifolds that can be manipulated by adiabatic cyclic variations of the φⁿ phases across selected root vectors. The resulting quasiparticle braiding implements a universal set of topological quantum gates directly within the magnon‑phonon lattice, offering a solid‑state platform for fault‑tolerant quantum computation rooted in E8 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)
Topological Materials and Phenomena
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