{
  "abstract": "We develop a quantum-field-theoretical framework on the tangent bundle in which gravitational and internal gauge structures are associated with different sectors of an affine tangent-fiber geometry. The translational sector supplies the coframe and its relation to teleparallel gravity. A reduced vertical spectral problem is based on the centrally extended Euclidean group \\(E^{c}(2)\\), motivated by projective representations of the stabilizer of a nonzero null vector. Twofold multiplicities of equivalent vertical representations in selected left-chiral sectors admit weak \\(SU(2)\\) actions, while an assumed threefold quark multiplicity admits a locally gauged color \\(SU(3)_c\\) symmetry. A proposed global quotient correlates the color center with vertical rotations on a threefold rotation cover. Together with the selected chiral spectrum and anomaly conditions, this construction reproduces the observed fractional quark charge assignments. We formulate matter and gauge-field quantization, BRST symmetry, and anomaly constraints. Under the stated projection assumptions, the color sector has the standard local QCD structure, including its one-loop beta function and asymptotic freedom. Additional gauge bosons and dark-matter states are proposed as hypothetical sectors. We also formulate a structural action for possible couplings between teleparallel torsion and additional Lorentz-sector potentials. The framework relates selected structures of particle physics and gravity within a common geometric setting; their further dynamical and phenomenological development remains open.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35778",
  "author_total": 1,
  "authors": [
    {
      "name": "Joachim Herrmann"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eyfbkf8p0a9nm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35778",
  "fulltext_url": null,
  "id": "eyfbkf8p0a9nm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35778",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3103|Relativity and Gravitational Theory"
    ]
  ],
  "openalex": "W7223927273",
  "pdf_url": "https://arxiv.org/pdf/2610.35778",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eyfbkf8p0a9nm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.35778",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35778"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Quantum Field Theory on the Tangent Bundle",
  "title_text": "Quantum Field Theory on the Tangent Bundle",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/eyfbkf8p0a9nm",
  "venue": "arXiv",
  "versions": []
}