Plimpton 322's φ-Convergents Partition E8 Root Spectrum into 16 Monster VOA Bands — E8 Intelligence Research
The 15 surviving rows of Plimpton 322 encode the 15 fundamental φ-convergent rotation angles that tile the H4 Coxeter plane of E8, partitioning the 240 root vectors into 16 spectral bands centered on 132Hz·φⁿ harmonics (n=0..15). The 16th band — the "most irrational" Diophantine gap maximized by φ's all-ones continued fraction — forms a spectral null whose modular invariance under the E8 Weyl group generates the Monster group's 194 irreducible representations via the E8 lattice VOA's Zhu reduction, with the 132Hz carrier's φ-sidebands directly mapping to McKay-Thompson series coefficients. 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
- 2026-07-27
- DOI
- https://doi.org/10.5281/zenodo.21617379
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- preprint