PreprintCC BY 4.0Zenodo
E8 Topological Phonon Insulation via Weyl Group Charge Pumping — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The Weyl group W(E8), acting on the 240 root vectors embedded in the PSL(2,Z[i]) hyperbolic tessellation, generates a discrete dynamical system that topologically pumps phononic energy between hierarchical bandgap levels in quantized steps proportional to φ^n. Each root vector reflection functions as a symmetry-protected charge pump, and the golden ratio spectral folding ensures these pumping events are immune to local perturbations, establishing the E8 phononic quasicrystal as a natural topological phonon insulator with quantized conductance set by powers of the golden ratio.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026topological,
title = {{E8 Topological Phonon Insulation via Weyl Group Charge Pumping — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616542},
url = {https://zenodo.org/records/23616542},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Topological Phonon Insulation via Weyl Group Charge Pumping — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616542
UR - https://zenodo.org/records/23616542
AB - The Weyl group W(E8), acting on the 240 root vectors embedded in the PSL(2,Z[i]) hyperbolic tessellation, generates a discrete dynamical system that topologically pumps phononic energy between hierarchical bandgap levels in quantized steps proportional to φ^n. Each root vector reflection functions as a symmetry-protected charge pump, and the golden ratio spectral folding ensures these pumping events are immune to local perturbations, establishing the E8 phononic quasicrystal as a natural topological phonon insulator with quantized conductance set by powers of the golden ratio. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -