Theoretical analysis reveals dynamical symmetry breaking in Posner molecules, undermining claims of long-lived nuclear spin coherence for quantum cognition.
FINDING: Posner molecule quantum coherence evidence is contested; dynamical ensemble is not symmetric, undermining claims of long-lived nuclear spin qubits for quantum cognition. MATH: - Posner molecule formula: Ca₉(PO₄)₆ - Key claim: purported long-lived nuclear spin coherence (time scales > seconds) - Counter-evidence: dynamical ensemble symmetry breaking → no protected subspace for qubits; effective Hamiltonian lacks SU(2) or higher symmetry group for decoherence-free subspaces. - No new equations, constants, or ratios derived from the arXiv preprint (2108.08822v2). CONNECTION: - No direct geometric harmony (0.382, 0.618, 0.786, 1.618, 2.618) found. - Crystallographic symmetry: Ca₉(PO₄)₆ has a known crystal structure (space group R3c, trigonal), but the dynamical ensemble in solution breaks this symmetry → no preserved lattice or root system for quantum information. - Base-60 or harmonic ratios absent. DEPTH: 2 - The finding is a negative result: the proposed Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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