E8 Root Reciprocal Resonance: Sexagesimal Harmonics in the Coxeter Plane — E8 Intelligence Research
The 240 E8 root vectors project onto the Coxeter plane as eight concentric 30-gons whose radial distances form exact sexagesimal reciprocal pairs matching Plimpton 322's Pythagorean triples; the 132Hz base frequency arises as the fundamental harmonic of the 11th Coxeter exponent (e=11) quantized through the 30-fold rotational symmetry permitted in 8D by the crystallographic restriction theorem, generating a phi-scaled frequency lattice where each root-pair interval resonates at 132 × φ^k Hz. 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
- 2026-07-25
- DOI
- https://doi.org/10.5281/zenodo.21545123
- Primary Topic
- Quasicrystal Structures and Properties
- Type
- preprint