Quantum Coherence in Posner Molecules: Symmetry Breakdown Challenges Entanglement Claims — E8 Intelligence Research

Abstract

FINDING: Posner molecule (Ca₉(PO₄)₆) quantum coherence evidence is contested; the dynamical ensemble is explicitly *not* symmetric, undermining simple claims of long-lived nuclear spin entanglement in the brain. | MATH: Stoichiometry: Ca₉(PO₄)₆ — 9 Ca²⁺, 6 PO₄³⁻. Nuclear spin‑½ on ³¹P (6 per molecule). The paper (arXiv:2108.08822v2) shows the ensemble of molecular configurations lacks permutation symmetry; the relevant symmetry group is not S₆ (full permutational symmetry) but a proper subgroup, breaking the conditions for a decoherence‑free subspace (DFS) that would require symmetric collective states. Key constant: no new fundamental constant; the relevant scale is the nuclear spin coherence time τ_c ~ milliseconds to seconds under physiological conditions, but the asymmetric ensemble reduces the effective DFS dimension. | CONNECTION: The breaking of S₆ symmetry is a crystallographic/root‑system failure: the full symmetric group S₆ corresponds to the Weyl group of the A₅ root system Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com