FINDING: The Posner molecule (Ca₉(PO₄)₆) is proposed as a biological quantum information processor, but its dynamical ensemble is explicitly *not* symmetric — breaking the naive assumption of high-symmetry quantum coherence in brain chemistry. | MATH: Stoichiometry Ca₉(PO₄)₆ → 9 Ca²⁺ ions, 6 PO₄³⁻ tetrahedra; nuclear spin-1/2 on ³¹P (100% natural abundance) and spin-7/2 on ⁴³Ca (0.145% abundance) — the relevant quantum degrees of freedom. The paper (arXiv:2108.08822v2) demonstrates the ensemble average over molecular orientations/rotations does not preserve the full octahedral (O_h) or even tetrahedral (T_d) symmetry of the isolated cluster. | CONNECTION: The isolated Posner cluster has approximate T_d symmetry (6 phosphate tetrahedra on a cube's faces, 9 Ca²⁺ in interstitial sites) — a crystallographic point group of order 24. However, the *dynamical* ensemble (rotational tumbling, thermal fluctuations, solvent interactions) reduces this to a lower effective symmetry — likely C₁ or C₂ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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