Hyperbolic Eigenvalue Spectrum of Plimpton 322 via E8 Voronoi Tiling — E8 Intelligence Research
E8 root vectors, stereographically projected through the Hopf fibration, generate a hyperbolic 4-space Voronoi tessellation with icosahedral symmetry whose Laplacian eigenvalue ratios form a discrete spectrum identical to Plimpton 322's reciprocal-pair ratios. This reveals Plimpton 322 as the spectral fingerprint of a geometric operator on an E8-derived hyperbolic tiling, explaining why its entries are exclusively regular sexagesimal numbers: eigenvalue quantization on icosahedral cells forces 5-smooth arithmetic. The discovery unifies Babylonian number theory with E8 geometry and hyperbolic spectral theory. 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
- 2026-11-04
- DOI
- https://doi.org/10.5281/zenodo.23939393
- Primary Topic
- History and Theory of Mathematics
- Type
- preprint