Dynamical Asymmetry Challenges Posner Molecule Quantum Coherence Claims — E8 Intelligence Research

Andrew Stewart Caldin

Published Sep 21, 2026• 0 citations

Abstract

FINDING: Posner molecule (Ca₉(PO₄)₆) quantum coherence evidence is challenged by its dynamical asymmetry — the molecule's nuclear spin states are not symmetric under its own time evolution, undermining claims of long-lived quantum information processing. | MATH: Posner molecule stoichiometry: Ca₉(PO₄)₆ — 9 calcium ions, 6 phosphate groups. The paper (arXiv:2108.08822v2) shows the dynamical ensemble is *not* symmetric, meaning the Hamiltonian H(t) does not commute with the symmetry group of the static crystal structure. Key implication: the purported nuclear spin qubit register (³¹P spins, I=1/2) has decoherence times τ that do not satisfy τ ≫ gate time t_g, breaking the DiVincenzo criterion for quantum computation. No specific new constants derived — the result is a symmetry-breaking theorem for the ensemble. | CONNECTION: The static Posner molecule has approximate octahedral/tetrahedral phosphate symmetry (point group T_d for PO₄³⁻, but the Ca₉ cluster breaks to C₃ or lower). The dyna Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.22874117

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