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

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
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preprint

E8 Topological Phase Transitions in Posner Cluster Melting Dynamics — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

E8 Topological Phase Transitions in Posner Cluster Melting Dynamics — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

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

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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