Monster‑Twined E8 Holonomy Quantizes Multi‑Component Thouless Pumping — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By interpreting the eight independent phi‑scaled phases of the 240 E8 root vectors as holonomy angles of an E8‑valued gauge connection, the defect McKay‑Thompson series assign Monster‑group twists to each holonomy. The closure condition then enforces that the product of these twists yields a trivial Monster element, which forces the eight Chern‑like numbers to be integers that count pumped edge modes per pump cycle. Consequently, a phi‑scaled E8 oscillator array realizes a monstrous‑moonshine‑protected quantized Thouless pump where the pumped charge equals the dimension of the corresponding irreducible Monster representation.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026monstertwined,
title = {{Monster‑Twined E8 Holonomy Quantizes Multi‑Component Thouless Pumping — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23658590},
url = {https://zenodo.org/records/23658590},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Monster‑Twined E8 Holonomy Quantizes Multi‑Component Thouless Pumping — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23658590
UR - https://zenodo.org/records/23658590
AB - By interpreting the eight independent phi‑scaled phases of the 240 E8 root vectors as holonomy angles of an E8‑valued gauge connection, the defect McKay‑Thompson series assign Monster‑group twists to each holonomy. The closure condition then enforces that the product of these twists yields a trivial Monster element, which forces the eight Chern‑like numbers to be integers that count pumped edge modes per pump cycle. Consequently, a phi‑scaled E8 oscillator array realizes a monstrous‑moonshine‑protected quantized Thouless pump where the pumped charge equals the dimension of the corresponding irreducible Monster representation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -