Quantum Coherence in Posner Molecules: Symmetry Breakdown Challenges Qubit Claims — E8 Intelligence Research

FINDING: Posner molecule (Ca₉(PO₄)₆) quantum coherence evidence is contested; the dynamical ensemble is *not* symmetric, undermining claims of long-lived nuclear spin qubits. | MATH: Ca₉(PO₄)₆ — 9 Ca²⁺, 6 PO₄³⁻; nuclear spin-1/2 on ³¹P (100% abundance); purported coherence time τ > 10⁵ s (Fisher's claim); symmetry group of the molecule's dynamical ensemble ≠ C₃ (trigonal) — the arXiv paper (2108.08822) shows the ensemble's density matrix ρ(t) does *not* commute with the C₃ rotation operator, breaking the assumed permutation symmetry among the 6 phosphate groups. | CONNECTION: The *broken* C₃ symmetry is the key geometric fact — the molecule's lattice (apatite-type, hexagonal P6₃/m) has a 6-fold screw axis, but the *effective* quantum state space reduces to a lower-symmetry manifold. This is a crystallographic symmetry breaking: the ideal hexagonal root system A₂ (hexagonal lattice) is *not* realized in the dynamical ensemble. No golden-ratio or base-60 constants appear in the evidence; Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com