Posner Molecule Symmetry Limits Quantum Qubit Coherence Claims — E8 Intelligence Research

FINDING: Posner molecule (Ca₉(PO₄)₆) proposed as biological quantum information carrier; recent analysis shows its dynamical ensemble lacks full symmetry, complicating qubit coherence claims. | MATH: Stoichiometry Ca₉(PO₄)₆ → 9 Ca²⁺, 6 PO₄³⁻; nuclear spin-1/2 on ³¹P (6 P nuclei) and spin-7/2 on ⁴³Ca (if isotopically enriched); proposed quantum error correction via nuclear spin entanglement. Key ratio: 9:6 = 3:2 (integer ratio, not golden). | CONNECTION: Crystallographic point group of ideal Posner is T (tetrahedral, 12 elements) — but arXiv:2108.08822 shows dynamical ensemble breaks T-symmetry, reducing to lower symmetry (likely C₁ or C₂), destroying the protected subspace dimension that Fisher's model required (Hilbert space dimension 2⁶ = 64 for 6 P spins; symmetry-adapted subspace was 8-dimensional). No 0.618/1.618 ratios appear; the relevant structure is octahedral/tetrahedral root system A₃ (not icosahedral). | DEPTH: 6 — mathematically rigorous disproof of a key symmetry assumpti Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com