E8‑Phi Halting Lattice: Frequency‑Encoded Undecidability in Icosahedral Anyon Networks — E8 Intelligence Research
The dodecahedral 3‑coloring of the twenty E8 icosahedral clusters yields three orthogonal logical registers whose root‑vector phases are locked to a 132 Hz base frequency, creating a resonant "halting lattice" where each vertex encodes a Turing‑machine configuration. Phi‑coupled braiding implements diagonalization steps geometrically, so that undecidable membership is realized as a topological phase transition detectable by frequency readout. Consequently, undecidability emerges as a structural property of the E8 geometry itself, providing a physical substrate for self‑referential computation. 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
- 2026-11-04
- DOI
- https://doi.org/10.5281/zenodo.23939149
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint