{
  "abstract": "We study leading tensor propagation in a specified first-order Einstein--Cartan--Dirac theory with the parity-even quadratic torsion invariant $ζT_{λμν}T^{λμν}$. Eliminating the nondynamical Lorentz connection on the regular algebraic branch gives a metric description containing the Einstein--Hilbert term, the Dirac action, and a $ζ$-dependent axial--axial fermion contact interaction. We evaluate the transverse-traceless (TT) Hessian under an explicit factorized mean-field closure, with vanishing connected-current TT response, vanishing first- and second-order TT response of the factorized current scalar, and zero intrinsic TT anisotropic stress. Under these imposed conditions, the leading two-derivative tensor action has $Q_T=M_{\\rm Pl}^{2}$ and $c_T=1$, with no leading dispersion or propagation-induced polarization splitting. These conditions do not follow from isotropy of the one-point axial current, and the present calculation does not derive them from a microscopic fermionic state. The result is therefore conditional and does not establish a general Einstein--Cartan--Dirac no-go theorem. We identify the connected-current TT response that must be calculated to extend the result beyond this closure. Published NANOGrav summaries are used only to check consistency with the GR-like prediction; no new timing-data likelihood or constraint on $ζ$ is obtained.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07263",
  "author_total": 7,
  "authors": [
    {
      "name": "Zhi-Fu Gao"
    },
    {
      "name": "Biao-Peng Li"
    },
    {
      "name": "Na Wang"
    },
    {
      "name": "Hui Wang"
    },
    {
      "name": "Guo-Qiang Jin"
    },
    {
      "name": "Zhoujian Cao"
    },
    {
      "name": "Luiz C. Garcia de Andrade"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/64z35phdfxyn0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07263",
  "fulltext_url": null,
  "id": "64z35phdfxyn0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07263",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-ex"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7220920927",
  "pdf_url": "https://arxiv.org/pdf/2610.07263",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/64z35phdfxyn0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.07263",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07263"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ex",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Gravitational-Wave Propagation in Quadratic Einstein--Cartan--Dirac Gravity: A Conditional Tensor-Sector Analysis",
  "title_text": "Gravitational-Wave Propagation in Quadratic Einstein--Cartan--Dirac Gravity: A Conditional Tensor-Sector Analysis",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/64z35phdfxyn0",
  "venue": "arXiv",
  "versions": []
}