E8 Topological Phase Transitions in Posner Cluster Melting Dynamics — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
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
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BibTeX
@misc{caldin2026topological,
title = {{E8 Topological Phase Transitions in Posner Cluster Melting Dynamics — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23409822},
url = {https://zenodo.org/records/23409822},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Topological Phase Transitions in Posner Cluster Melting Dynamics — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/16
PB - Zenodo
DO - 10.5281/zenodo.23409822
UR - https://zenodo.org/records/23409822
AB - 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
ER -