FINDING: The Posner molecule (Ca₉(PO₄)₆) exhibits a dynamical ensemble that is *not* symmetric, breaking the assumed high-symmetry (likely T or Oₕ) configuration, with implications for quantum information processing in biology. **MATH:** - Stoichiometry: Ca₉(PO₄)₆ → 9 Ca²⁺, 6 PO₄³⁻. - Nuclear spin carriers: ³¹P (I=1/2) — 6 spins; ⁴³Ca (I=7/2) — 9 spins (if isotopically enriched). - Order parameter for symmetry breaking: η = ⟨R⟩ − ⟨R₀⟩, where R is the molecular orientation tensor; η ≠ 0 in the dynamical ensemble. - The paper (arXiv:2108.08822v2) explicitly states the ensemble is not symmetric — meaning the point group is reduced from the ideal (likely T_d or O_h) to a lower subgroup (e.g., C₃ or C₁). - Key constant: 6 phosphate groups → possible C₃ axis (3-fold rotation) with 2 phosphate triads; 9 Ca²⁺ → 3×3 arrangement, suggesting a 3×3 lattice motif. **CONNECTION:** - **C₃ symmetry** directly links to the **triangular lattice** and **root system A₂** (hexagonal). The 6 p Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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