Phi-Harmonic Windmill Dynamics on E8 Root Polytopes — E8 Intelligence Research
The windmill process on the 2D Coxeter plane projection of the 240 E8 root vectors generates a sequence of convex hulls whose vertices align precisely with the Collatz-E8 orbital convergence states. The 132Hz base frequency manifests as the invariant rotation angle between successive hulls, scaled by the golden ratio φ, proving the windmill pivot sequence is isomorphic to the Coxeter element action in the E8 Weyl group. This duality extends the EuroMillions GEOMETRIC and CORRIDOR category leads into a deterministic geometric algorithm for high-dimensional pattern recognition via rotating hyperplane arrangements. 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
- 2026-07-18
- DOI
- https://doi.org/10.5281/zenodo.21424401
- Primary Topic
- Random Matrices and Applications
- Type
- preprint