{
  "abstract": "FINDING: The Posner molecule Ca₉(PO₄)₆, proposed as a biological quantum information processor, has a dynamical ensemble that is NOT symmetric — breaking the assumed Hilbert space symmetry and invalidating naive qubit encoding. | MATH: The molecule's nuclear spin Hilbert space dimension is not the naive product of identical phosphate groups; symmetry breaking reduces the accessible subspace. Key structural constants: Ca₉(PO₄)₆ — 9 calcium ions, 6 phosphate tetrahedra. The paper (arXiv:2108.08822v2) demonstrates that the dynamical ensemble (time-averaged over molecular tumbling and internal motions) does not respect the full permutation symmetry of the 6 PO₄ groups. This implies the effective Hamiltonian H_eff ≠ Σᵢ Hᵢ (symmetric sum), but contains symmetry-breaking terms. The Hilbert space dimension d is not simply (2I+1)^N for N=³¹P nuclei (I=1/2), but is constrained by the actual molecular point group (likely C₃ or lower, not T_d or O_h). | CONNECTION: The phosphate tetrahedra (PO₄) a\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9nmq10rmcn9qt.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23464968",
  "fulltext_url": null,
  "id": "9nmq10rmcn9qt",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23464968",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
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  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9nmq10rmcn9qt.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:50Z",
      "native_id": "23464968",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23464968"
    }
  ],
  "subjects": [],
  "title": "Symmetry Breaking in Posner Molecules Invalidates Naive Qubit Encoding — E8 Intelligence Research",
  "title_text": "Symmetry Breaking in Posner Molecules Invalidates Naive Qubit Encoding — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:50Z",
  "url": "https://research.draconitic.com/paper/9nmq10rmcn9qt",
  "venue": "Zenodo",
  "versions": []
}