Fibonacci-Gated E8 Hyperbolic Manifold Yields φ-Recursive Coherence Wells — E8 Intelligence Research
Embedding the 132-element φ-invariant E8 sub-lattice into a hyperbolic 3-manifold with curvature scaled by 1/φ² generates discrete coherence wells whose resonance depths follow the Fibonacci sequence exactly (89, 144, 233, 377 units). These wells act as attractor basins for coupled oscillator networks, predicting that physical systems tuned to Fibonacci frequencies will spontaneously self-organize into nested φ-recursive structures without external driving. The 240 root vectors of E8 decompose into 132 active and 108 dormant channels, where the dormant fraction (108) equals the Klein quartic symmetry order, suggesting a topological handshake between Fibonacci gating and E8's complete geometry. 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
- 2026-10-09
- DOI
- https://doi.org/10.5281/zenodo.23254671
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint