{
  "abstract": "We study a real-time path sum over squared edge lengths on the Kuhn triangulation of the periodic hypercubic lattice, with the Lorentzian Regge action and the flat metric I − κ11T, at κ = 1, where the edges that advance one coordinate are null. The value κ = 1 is an identification, motivated by an order on those edges. Classically, linearized Einstein gravity is recovered as a long-wavelength limit of lattice solutions. On every torus of odd side not divisible by 105 the flat Hessian has no zero modes beyond constant strains and vertex moves. For band-limited conserved sources off the light cone, the long-wave limit of the linear lattice field is the de Donder solution. With a resting body and a model medium, the unconstrained Regge equations on all edges have exact solutions for small coupling; their weak-field long-wave limit gives Newton's potential with G = 1/(8πs), where s is the action scale. At one loop, in a stated diagram model, the quantum limit fails. Four exact massless doublers at the corners of the Brillouin zone make the zero-momentum anisotropy of the graviton self-energy diverge like (5/(44√335 π2)) log(1/ε) as the regulator ε is removed after the volume, because every other degenerate zero of the operator is non-pinched; the proof's computations are exact. The one-loop two-mass amplitude assembled from the long-wave Feynman rules has the coefficient −(41/10π)G2ℏm1m2/r3 in an infrared-subtracted reading; the lattice path sum at κ = 1 is not shown to inherit it. This record contains the preprint and QGTitle1_computations.zip: the exact data behind every computation on which a theorem depends, with independent programs (Python, exact rational arithmetic) that re-check every identity, table and inequality.",
  "abstract_shown": true,
  "affiliations": [
    "Recognition Physics Institute"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Jonathan Washburn",
      "orcid": "0009-0001-8868-7497"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bxd3m3j7zgp78.bib",
  "cited_by": 11,
  "doi": "10.5281/zenodo.23764490",
  "fulltext_url": null,
  "id": "bxd3m3j7zgp78",
  "issns": [],
  "landing_url": "https://doi.org/10.5281/zenodo.23764490",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3109|Noncommutative and Quantum Gravity Theories"
    ]
  ],
  "openalex": "W7224403212",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/bxd3m3j7zgp78.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:21:01Z",
      "native_id": "W7224403212",
      "source": "openalex",
      "url": "https://doi.org/10.5281/zenodo.23764490"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3109|Noncommutative and Quantum Gravity Theories",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Linearized Einstein gravity from Lorentzian Regge calculus on the Kuhn lattice, and the divergence of its one-loop graviton limit",
  "title_text": "Linearized Einstein gravity from Lorentzian Regge calculus on the Kuhn lattice, and the divergence of its one-loop graviton limit",
  "type": "preprint",
  "updated_at": "2026-11-06T13:20:25Z",
  "url": "https://research.draconitic.com/paper/bxd3m3j7zgp78",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
  "versions": []
}