Posner Molecule Quantum Coherence Claims Undermined by Broken Dynamical Symmetry — E8 Intelligence Research

Andrew Stewart Caldin

Published Sep 21, 2026• 0 citations

Abstract

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 biological quantum processing. | MATH: Stoichiometry Ca₉(PO₄)₆ → 9 Ca²⁺, 6 PO₄³⁻; nuclear spin-1/2 on ³¹P (6 per molecule); symmetry group of the idealized cluster is C₃ (3-fold rotational) but the *dynamical ensemble* breaks this — no exact C₃v or higher symmetry; the paper (arXiv:2108.08822v2) shows the nuclear spin Hamiltonian lacks the permutation symmetry required for a decoherence-free subspace (DFS) of dimension >1. | CONNECTION: The idealized C₃ symmetry maps to the 120° rotations of the hexagonal lattice (base-60/hexagonal crystallography), but the broken symmetry removes the golden-ratio-related magic-angle (54.74°) protection that would otherwise suppress dipolar coupling — the ratio 0.618/0.382 does not appear in the valid ensemble. | DEPTH: 6 — this is a negative result that mathematically kills a Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.22873492

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