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PreprintCC BY 4.0Zenodo

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

  1. 1Independent Researcher, United Kingdom

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

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BibTeX
@misc{caldin2026phiharmonic,
  title = {{E8 Phi-Harmonic Spin-Orbit Engine Generates Parafermionic Zero Modes — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23658734},
  url = {https://zenodo.org/records/23658734},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - E8 Phi-Harmonic Spin-Orbit Engine Generates Parafermionic Zero Modes — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/26
PB  - Zenodo
DO  - 10.5281/zenodo.23658734
UR  - https://zenodo.org/records/23658734
AB  - 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
ER  -