Asymmetric Posner Molecule Dynamics Disrupt Long-Lived Nuclear Spin Entanglement — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 9, 2026• 0 citations

Abstract

FINDING: Posner molecule (Ca₉(PO₄)₆) quantum coherence evidence is real but its dynamical ensemble is *not* symmetric — breaking the assumed high-symmetry that would enable long-lived nuclear spin entanglement in warm biological conditions. | MATH: Posner molecule stoichiometry: Ca₉(PO₄)₆ → 9 Ca²⁺, 6 PO₄³⁻; nuclear spin-1/2 on ³¹P (6 phosphorus nuclei); proposed quantum gate via nuclear spin entanglement lifetime τ ~ 10⁵ s (hours) at physiological temperature; the arXiv paper (2108.08822v2) explicitly shows the dynamical ensemble (rotational/vibrational modes) lacks the full tetrahedral (T_d) or even C₃ symmetry previously assumed — the effective Hamiltonian H_eff ≠ H_symmetric; symmetry breaking lowers the coherence protection factor from ideal geometric phase to a reduced, possibly non-abelian Berry phase contribution. | CONNECTION: The *idealized* Posner model relies on icosahedral/tetrahedral symmetry (crystallographic point group T_d, order 24) to produce a decoherence-free subspa Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23254759

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