{
  "abstract": "Twinor theory is formulated as a spacetime-based counterpart to twistor theory using holomorphic reductive Cartan geometry modelled on complexified $(A)dS_4$. The fundamental spin-tractor bundle defines Dirac twinors, its symmetric powers define ladder twinors, and their extremal Lorentz components define chiral twinors. The general \\textit{twinor field equation} is $D\\mathbf Y=\\mathbf J$. Its adjacent contractions and mixed divergence are constrained by source relations; no additional equation is imposed on its completely symmetric projection. On a flat torsion-free Lorentzian background, the adjacent equations with the mass-normalization source and vanishing additional contracted sources, together with vanishing mixed divergence, reproduce the massive \\textit{Dirac--Fierz--Pauli system}; the massless chiral realization gives the zero-rest-mass equations. Within the fixed mass normalization, the reality condition yielding a positive real mass squared is the \\textit{anti-de Sitter reality condition} on the particle scale, independently of the cosmological scale and background curvature. The mass-coupling phase is therefore present in the classical connection before quantization. Nonlinear gravity is formulated through the full adjoint curvature, with energy--momentum and spin currents specifying Einstein--Cartan dynamics without requiring an action. The adjoint Bianchi identity constrains source compatibility, while a BGG-type sequence organizes torsion-free infinitesimal deformations. Matter interactions enter through the coupled connection and contracted source relations, with curvature compatibility recorded by $D\\mathbf J=\\mathcal F_D\\mathbf Y$. Both chiralities are retained, and the additional consistency requirements for interacting higher-spin fields are distinguished from the underlying bundle construction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40435",
  "author_total": 1,
  "authors": [
    {
      "name": "Chen-Hsu Chien"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cpf7efeemskb9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40435",
  "fulltext_url": null,
  "id": "cpf7efeemskb9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40435",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40435",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cpf7efeemskb9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:28Z",
      "native_id": "2610.40435",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40435"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Twinor Theory: Field Equations from $(A)dS_4^{\\mathbb C}$ Spin-Tractors: A Twin to Twistor Theory Modelled on $(A)dS_4^{\\mathbb C}$",
  "title_text": "Twinor Theory: Field Equations from (A)dS_4^ℂ Spin-Tractors: A Twin to Twistor Theory Modelled on (A)dS_4^ℂ",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:53Z",
  "url": "https://research.draconitic.com/paper/cpf7efeemskb9",
  "venue": "arXiv",
  "versions": []
}