Asymmetric Dynamics Undermine Posner Molecule Quantum Coherence Claims — E8 Intelligence Research

Andrew Stewart Caldin

Published Sep 14, 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: Ca₉(PO₄)₆ — 9 Ca²⁺, 6 PO₄³⁻; nuclear spin-1/2 on ³¹P (6 per molecule); symmetry group of the dynamical ensemble ≠ C₃ (the claimed rotational symmetry); the paper (arXiv:2108.08822v2) shows the ensemble's density matrix lacks the permutation symmetry required for decoherence-free subspace protection. | CONNECTION: The claimed C₃ symmetry (120° rotations) would map to a 3-fold axis — a crystallographic point group element. Its absence breaks the root-system analogy (A₂ lattice, hexagonal symmetry). The ratio 0.618/1.618 does not appear; instead, the failure is a symmetry-breaking event — the ensemble is not invariant under the cyclic group Z₃, which is the discrete subgroup of SO(2) that would preserve a triangular phosphate arrangement. | DEPTH: 6 — This is a negative result Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.22748261

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