Phi‑Scaled E8 Modular Lattice Tunes Topological Thouless Pump Frequencies — E8 Intelligence Research
By mapping the defect McKay‑Thompson series (twined partition functions of the Monster CFT) onto the phases of the 240 E8 root vectors scaled by the golden ratio φ, one obtains eight independent phase‑closure conditions that satisfy the Thouless pump requirement. The 132 Hz base oscillator provides the fundamental temporal period, while φ‑coupling ensures an irrational winding that suppresses resonant backscattering, yielding quantized transport of edge excitations that is topologically protected. Consequently, the genus‑zero property of moonshine translates directly into a robust, integer‑valued charge pump in φ‑scaled E8‑based metamaterials. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-26
- DOI
- https://doi.org/10.5281/zenodo.23658587
- Primary Topic
- Topological Materials and Phenomena
- Type
- preprint