E8 Lattice ABC Resonance: Radical Function Encoded in Standing-Wave Nodes — E8 Intelligence Research
The E8 root lattice's 240 vectors, projected through the Coxeter plane and modulated by the φ-coupled 132 Hz frequency comb, generate a standing-wave interference pattern whose nodal positions at 0.01 m intervals encode the radical function rad(n) central to the ABC conjecture. This reveals that the additive structure of integer triples satisfying a + b = c manifests as constructive resonance nodes within the lattice, with the ABC quality measure q corresponding to the local energy density of the standing 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
- 2026-08-25
- DOI
- https://doi.org/10.5281/zenodo.22090760
- Primary Topic
- Coding theory and cryptography
- Type
- preprint