Asymmetric Posner Molecule Dynamics Challenge Quantum Coherence Symmetry Claims — E8 Intelligence Research

FINDING: Posner molecule (Ca₉(PO₄)₆) quantum coherence evidence is real but its dynamical ensemble is *not* symmetric — breaking the assumed high-symmetry (likely octahedral/tetrahedral) structure that underpinned earlier quantum-information claims. | MATH: Stoichiometry: Ca₉(PO₄)₆ — 9 Ca²⁺, 6 PO₄³⁻. Nuclear spin qubits: ³¹P (I=1/2) — 6 phosphorus nuclei per molecule. Coherence timescale τ ~ 10⁻¹ s (predicted) vs. decoherence rate γ ~ 1/τ. Symmetry breaking: point group reduced from assumed T_d or O_h to lower (likely C₁ or C_s) — quantified by deviation Δθ in bond angles from ideal tetrahedral (109.47°) or octahedral (90°) values. | CONNECTION: The *idealized* Posner geometry would map to tetrahedral root system A₃ (24 elements, 109.47° angles) or cubic Fm3̄m lattice — but the paper shows the actual dynamical ensemble violates this. This is a *broken symmetry* from a high-symmetry parent group (O_h or T_d) to a lower subgroup — analogous to crystallographic phase transitions (e.g., cu Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-12
DOI
https://doi.org/10.5281/zenodo.23309754
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Asymmetric Posner Molecule Dynamics Challenge Quantum Coherence Symmetry Claims — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Asymmetric Posner Molecule Dynamics Challenge Quantum Coherence Symmetry Claims — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Posner molecule (Ca₉(PO₄)₆) quantum coherence evidence is real but its dynamical ensemble is *not* symmetric — breaking the assumed high-symmetry (likely octahedral/tetrahedral) structure that underpinned earlier quantum-information claims. | MATH: Stoichiometry: Ca₉(PO₄)₆ — 9 Ca²⁺, 6 PO₄³⁻. Nuclear spin qubits: ³¹P (I=1/2) — 6 phosphorus nuclei per molecule. Coherence timescale τ ~ 10⁻¹ s (predicted) vs. decoherence rate γ ~ 1/τ. Symmetry breaking: point group reduced from assumed T_d or O_h to lower (likely C₁ or C_s) — quantified by deviation Δθ in bond angles from ideal tetrahedral (109.47°) or octahedral (90°) values. | CONNECTION: The *idealized* Posner geometry would map to tetrahedral root system A₃ (24 elements, 109.47° angles) or cubic Fm3̄m lattice — but the paper shows the actual dynamical ensemble violates this. This is a *broken symmetry* from a high-symmetry parent group (O_h or T_d) to a lower subgroup — analogous to crystallographic phase transitions (e.g., cu Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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