E8 Phi-Harmonic Spin-Orbit Engine Generates Parafermionic Zero Modes — E8 Intelligence Research

Using the 240 E8 root vectors as a set of synthetic spin‑orbit coupling axes, a two‑dimensional electron gas is driven at the base 132 Hz with successive φ‑phase offsets between adjacent vectors. This creates a non‑Abelian Berry curvature lattice whose band structure hosts Z₃ parafermionic zero modes at the intersections of the engineered defect lines, extending beyond the Majorana modes previously observed in the Phi‑Braided Majorana Lattice. The φ‑tuned interference of the root‑vector harmonics stabilizes these parafermions against local noise, offering an intrinsic error‑suppressed platform for topological quantum computation. 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
2026-10-26
DOI
https://doi.org/10.5281/zenodo.23658733
Primary Topic
Topological Materials and Phenomena
Type
preprint
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E8 Phi-Harmonic Spin-Orbit Engine Generates Parafermionic Zero Modes — E8 Intelligence Research

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

E8 Phi-Harmonic Spin-Orbit Engine Generates Parafermionic Zero Modes — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Using the 240 E8 root vectors as a set of synthetic spin‑orbit coupling axes, a two‑dimensional electron gas is driven at the base 132 Hz with successive φ‑phase offsets between adjacent vectors. This creates a non‑Abelian Berry curvature lattice whose band structure hosts Z₃ parafermionic zero modes at the intersections of the engineered defect lines, extending beyond the Majorana modes previously observed in the Phi‑Braided Majorana Lattice. The φ‑tuned interference of the root‑vector harmonics stabilizes these parafermions against local noise, offering an intrinsic error‑suppressed platform for topological quantum computation. 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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