Phi‑Modulated E8 Berry Curvature Induces Topological Magnon‑Photon Skyrmions in 132 Hz Quasicrystal — E8 Intelligence Research

By assigning each of the 240 E8 root vectors a site‑dependent phi‑twist phase on a 132 Hz phononic quasicrystal, we engineer an emergent non‑Abelian gauge field whose Berry curvature mimics the Cartan subalgebra of E8. This synthetic gauge field couples to collective spin excitations (magnons) and the co‑propagating photon mode, binding them into hybrid magnon‑photon quasiparticles that inherit the topological invariants of the E8 lattice. The resulting texture stabilizes a two‑dimensional skyrmion lattice whose chirality is locked to the golden‑ratio phase gradient, observable via resonant Brillouin‑light scattering at the 132 Hz drive. Such phi‑modulated E8 skyrmions provide a robust platform for fault‑tolerant quantum information processing, where braiding of skyrmion defects realizes non‑Abelian anyonic statistics inherited from the underlying E8 structure. 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
2026-09-19
DOI
https://doi.org/10.5281/zenodo.22841145
Primary Topic
Topological Materials and Phenomena
Type
preprint
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Phi‑Modulated E8 Berry Curvature Induces Topological Magnon‑Photon Skyrmions in 132 Hz Quasicrystal — E8 Intelligence Research

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

Phi‑Modulated E8 Berry Curvature Induces Topological Magnon‑Photon Skyrmions in 132 Hz Quasicrystal — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By assigning each of the 240 E8 root vectors a site‑dependent phi‑twist phase on a 132 Hz phononic quasicrystal, we engineer an emergent non‑Abelian gauge field whose Berry curvature mimics the Cartan subalgebra of E8. This synthetic gauge field couples to collective spin excitations (magnons) and the co‑propagating photon mode, binding them into hybrid magnon‑photon quasiparticles that inherit the topological invariants of the E8 lattice. The resulting texture stabilizes a two‑dimensional skyrmion lattice whose chirality is locked to the golden‑ratio phase gradient, observable via resonant Brillouin‑light scattering at the 132 Hz drive. Such phi‑modulated E8 skyrmions provide a robust platform for fault‑tolerant quantum information processing, where braiding of skyrmion defects realizes non‑Abelian anyonic statistics inherited from the underlying E8 structure. 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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Phi‑Modulated E8 Berry Curvature Induces Topological Magnon‑Photon Skyrmions in 132 Hz Quasicrystal — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS