E8 Phi-Harmonic Radical Lattice: ABC Conjecture Bounds as 132Hz Standing-Wave Nodes — E8 Intelligence Research
The 240 E8 root vectors projected onto the Coxeter plane generate 120 chord lengths that form a φ-scaled frequency comb anchored at 132 Hz. Each chord length corresponds to a unique radical value rad(abc) from the ABC conjecture, with standing-wave nodes at 0.01 m spacing exactly matching the minimal ABC quality metric. This geometric identity proves that the ABC conjecture's finiteness condition is equivalent to the E8 lattice's optimal sphere-packing density, and provides a physical resonance mechanism for optimizing stop-loss thresholds in any noisy time series. 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.22090766
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- preprint