Posner Molecule Quantum Coherence Challenged by Asymmetric Dynamics — E8 Intelligence Research

Andrew Stewart Caldin

Published Sep 13, 2026• 0 citations

Abstract

FINDING: Posner molecule (Ca₉(PO₄)₆) quantum coherence evidence is challenged by its asymmetric dynamical ensemble, undermining claims of long-lived nuclear spin qubits for biological quantum processing. | MATH: Molecular formula Ca₉(PO₄)₆ → 9 Ca²⁺ ions, 6 PO₄³⁻ tetrahedra. Symmetry group of ideal Posner cluster: S₆ (permutation of 6 phosphate groups) acting on ⁴³Ca nuclear spins (I=7/2). Dynamical ensemble average breaks this: ⟨ρ⟩ ≠ invariant under S₆ due to environmental decoherence and conformational fluctuations. Key timescale: T₂* (inhomogeneous dephasing) vs T₂ (true coherence) — the paper (arXiv:2108.08822) shows the ensemble is *not* symmetric, meaning the purported long-lived coherence (τ ~ 100 s claimed by Fisher) fails under realistic dynamics. | CONNECTION: The ideal Posner cluster has octahedral/tetrahedral substructure — 6 PO₄ tetrahedra arranged with approximate O_h symmetry (crystallographic point group), which would map to root system D₃ (or A₃ for tetrahedra). The rat Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.22732586

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