Posner Molecule's Asymmetric Dynamics Undermine Quantum Coherence Claims — E8 Intelligence Research

FINDING: Posner molecule (Ca₉(PO₄)₆) proposed as biological quantum information processor; recent arXiv analysis shows its dynamical ensemble is *not* symmetric, undermining a key assumption for long-lived nuclear spin coherence. | MATH: Stoichiometry Ca₉(PO₄)₆ → 9 Ca²⁺, 6 PO₄³⁻; nuclear spin-1/2 on ³¹P (I=1/2, 100% abundance); ⁴³Ca (I=7/2, 0.145% abundance) — the purported quantum register relies on ³¹P–³¹P dipolar couplings and ⁴³Ca quadrupolar couplings. The paper (arXiv:2108.08822v2) explicitly computes the dynamical Lie algebra / accessible state space and finds it lacks the full SU(2)⊗N symmetry required for decoherence-free subspaces. | CONNECTION: The molecule's crystal structure is rhombohedral (R3c space group, #161) — a trigonal lattice with 3-fold rotational symmetry about the c-axis. The *breaking* of this symmetry in the dynamical ensemble (due to inequivalent P sites and Ca vacancies) directly maps to a reduction from the full symmetric group S₉ (for Ca sites) to a lower Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com