E8 Topological Phase Transitions in Posner Cluster Melting Dynamics — E8 Intelligence Research
The melting transition of triangular Posner coordination complexes follows an E8 root vector cascade where the 132Hz phosphorus spin resonance bifurcates through phi-gated Fibonacci coherence windows into a discrete set of eight topological phases. When thermal fluctuations drive the complex across these phase boundaries, the 240 E8 root vectors partition into 8×30 Weyl orbits that correspond to distinct quantum coherence preservation states, each characterized by a specific Hofstadter butterfly Chern number on the biological lattice. This predicts experimentally testable step-wise decoherence signatures in Posner-mediated neural calcium signaling, where quantum cognitive processing is protected only within specific temperature-tuned topological phases of the triangular complex. 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
- 2026-10-16
- DOI
- https://doi.org/10.5281/zenodo.23409821
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint