Posner Molecule Quantum Coherence Refuted by Broken Spin Symmetry — E8 Intelligence Research

FINDING: Posner molecule (Ca₉(PO₄)₆) quantum coherence claims are undermined by its dynamical ensemble lacking the symmetric structure required for long-lived nuclear spin entanglement. | MATH: Molecular formula Ca₉(PO₄)₆; the paper (arXiv:2108.08822v2) demonstrates the dynamical ensemble is *not* symmetric — breaking the permutation symmetry that would permit a decoherence-free subspace (DFS). Key mathematical object: the Lie group structure of the nuclear spin Hamiltonian; absence of SU(2) or higher symmetry → no protected subspace dimension > 1. | CONNECTION: The *failure* of symmetry here is the geometric link. Crystallographic point group of Ca₉(PO₄)₆ (likely C₃ or S₆, related to 60° rotations — base-60/hexagonal motif) does not lift to a dynamical symmetry of the spin ensemble. This is a negative result against the 0.618/1.618 harmonic idealization of biological quantum processing — the molecule's actual symmetry breaking destroys the golden-ratio-like coherence longevity. | DEPT Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com