Posner Molecule's Broken Symmetry Limits Its Quantum Qubit Viability — E8 Intelligence Research

FINDING: Posner molecule (Ca₉(PO₄)₆) proposed as a biological quantum information processor; its dynamical ensemble is explicitly shown to lack full symmetry, constraining its qubit viability. | MATH: Stoichiometry Ca₉(PO₄)₆ → 9 Ca²⁺, 6 PO₄³⁻; nuclear spin-1/2 on ³¹P (100% abundance) gives 6 phosphorus nuclei per molecule; Hilbert space dimension for 6 spin-½ = 2⁶ = 64; the paper (arXiv:2108.08822v2) demonstrates the ensemble symmetry group is *not* the full octahedral (Oₕ) or tetrahedral (Tₕ) group expected from the idealized crystal structure — the dynamical ensemble breaks to a subgroup, reducing the number of inequivalent nuclear spin configurations and thus the number of protected singlet states. | CONNECTION: The idealized Ca₉(PO₄)₆ cluster has approximate octahedral symmetry (Oₕ, order 48) — a crystallographic point group. The paper's finding that the *dynamical* ensemble is not symmetric implies the effective symmetry is a proper subgroup (e.g., C₃ᵥ or D₃, order 6 or 12). This Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com