{
  "abstract": "This paper develops a weak-field, non-metric operational account of gravitational light deflection. In the isotropic formulation of the Schwarzschild weak field, the non-metricity trace 1-forms W and P are computed explicitly and shown to determine the optical response through the exact relation $d\\ln n=W-4P$, $n=g/f$. Thus the effective refractive index governing null propagation is not introduced as an external optical analogy, but is tied directly to the trace sector of non-metricity. To connect the trace geometry with matter, an effective scalar calibration potential $χ$ is sourced by an observer-projected macroscopic dilation current, yielding $\\nabla^2χ=-κρ$ in the static weak-field limit. The point-mass calibration fixes $Φ=χ/C_0\\simeq 2GM/(rc^2)$, and the resulting optical calculation gives the Eddington deflection angle $4GM/(bc^2)$. The significance of the result is not a modified numerical prediction, but a closed weak-field chain from macroscopic dilation sourcing to non-metricity traces, effective refractive index, and light deflection, without postulating a microscopic deformation law for material rods or clocks.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38568",
  "author_total": 1,
  "authors": [
    {
      "name": "Sabutay Ugur"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/381kt2zk3rhbt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38568",
  "fulltext_url": null,
  "id": "381kt2zk3rhbt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.38568",
  "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"
    ],
    [
      "openalex",
      "3103|Relativity and Gravitational Theory"
    ]
  ],
  "openalex": "W7215038756",
  "pdf_url": "https://arxiv.org/pdf/2609.38568",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/381kt2zk3rhbt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.38568",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38568"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Non-Metricity Trace Forms and Weak-Field Light Deflection: A Geometric Optical Formulation",
  "title_text": "Non-Metricity Trace Forms and Weak-Field Light Deflection: A Geometric Optical Formulation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/381kt2zk3rhbt",
  "venue": "arXiv",
  "versions": []
}