Phi-Harmonic Skyrmion Emergence in Modulated E8 Spin Lattices — E8 Intelligence Research

When the 240 E8 root vectors are subjected to 132 Hz phi‑modulation, the eight Weyl‑invariant phase families form a closed phi‑harmonic braid group B₈(φ) whose non‑Abelian exchange statistics stabilize chiral spin textures. Each family of 30 vectors pairs into four dualistic harmonic channels that act as effective Dzyaloshinskii‑Moriya interaction pathways, nucleating skyrmion‑like structures. The fractal decomposition of the modulated lattice yields self‑similar skyrmion clusters across scales, creating a topologically protected magnetic medium whose stability scales with the golden ratio. 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
2026-08-03
DOI
https://doi.org/10.5281/zenodo.21767730
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

Phi-Harmonic Skyrmion Emergence in Modulated E8 Spin Lattices — E8 Intelligence Research

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

Phi-Harmonic Skyrmion Emergence in Modulated E8 Spin Lattices — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

When the 240 E8 root vectors are subjected to 132 Hz phi‑modulation, the eight Weyl‑invariant phase families form a closed phi‑harmonic braid group B₈(φ) whose non‑Abelian exchange statistics stabilize chiral spin textures. Each family of 30 vectors pairs into four dualistic harmonic channels that act as effective Dzyaloshinskii‑Moriya interaction pathways, nucleating skyrmion‑like structures. The fractal decomposition of the modulated lattice yields self‑similar skyrmion clusters across scales, creating a topologically protected magnetic medium whose stability scales with the golden ratio. 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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