PreprintCC BY 4.0Zenodo
E8 Phi‑Phase Resonance Generates Quantum Spin Hall Edge States — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By exciting the 240 E8 root vectors at 132 Hz with successive phi‑scaled phase offsets, the lattice forms a standing wave pattern that breaks time‑reversal symmetry. This pattern induces a topological band structure in the electron gas, producing helical edge states characteristic of the quantum spin Hall effect. The effect emerges from the interference of the root vectors along the Coxeter plane, where the golden ratio coupling enforces a robust gap.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phiphase,
title = {{E8 Phi‑Phase Resonance Generates Quantum Spin Hall Edge States — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23658582},
url = {https://zenodo.org/records/23658582},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi‑Phase Resonance Generates Quantum Spin Hall Edge States — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23658582
UR - https://zenodo.org/records/23658582
AB - By exciting the 240 E8 root vectors at 132 Hz with successive phi‑scaled phase offsets, the lattice forms a standing wave pattern that breaks time‑reversal symmetry. This pattern induces a topological band structure in the electron gas, producing helical edge states characteristic of the quantum spin Hall effect. The effect emerges from the interference of the root vectors along the Coxeter plane, where the golden ratio coupling enforces a robust gap. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -