Posner Molecule's Broken Symmetry Undermines Quantum Cognition Claims — E8 Intelligence Research

FINDING: The Posner molecule (Ca₉(PO₄)₆) — proposed as a biological quantum information processor — has a dynamical ensemble that is *not* symmetric, undermining claims of long-lived nuclear spin coherence for quantum cognition. | MATH: Molecular formula Ca₉(PO₄)₆; nuclear spin-1/2 ³¹P nuclei (6 per molecule); the dynamical ensemble symmetry breaking is characterized by the loss of permutation invariance among the six phosphate groups — the relevant group is the symmetric group S₆, whose irreducible representations decompose the nuclear spin Hilbert space (dimension 2⁶ = 64). The paper (arXiv:2108.08822v2) shows the time-evolution operator does not commute with all S₆ permutations, so the coherence lifetime is bounded by the asymmetric coupling terms, not the symmetric dipolar Hamiltonian. | CONNECTION: The number 6 (phosphate groups) relates to hexagonal symmetry (crystallographic point group 6/mmm), but the *broken* symmetry points to a lower-order subgroup — the root system A₅ (SU(6 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com