Quantum Coherence in Posner Molecules: Symmetry Breakdown Undermines Consciousness 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 for consciousness. | MATH: Stoichiometry Ca₉(PO₄)₆ → 9 Ca²⁺, 6 PO₄³⁻; nuclear spin-1/2 on ³¹P (6 per molecule); proposed quantum error correction via ³¹P–⁴³Ca entangled states; symmetry group of the molecule's dynamical ensemble is *not* the full octahedral (Oₕ) but a reduced subgroup due to Ca site inequivalence — the paper (arXiv:2108.08822v2) shows the ensemble average breaks permutation symmetry, killing the decoherence-free subspace (DFS) dimension. | CONNECTION: The ideal Posner cluster has approximate Oₕ symmetry (cubic, 4-fold axes, 3-fold axes) — a crystallographic point group with 48 elements. The 0.618/1.618 ratios do *not* appear in the molecular geometry; instead, the relevant ratio is the Ca–P–O bond angle (~109.5° tetrahedral, base-60 compatible as 1.91 radians). The symmetry breaking reduces the DFS f Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com