{
  "abstract": "We construct an explicit local Lorentzian response geometry with nonzero curvature from two previously separated ingredients: the Fisher–Rao geometry obtained as a hidden-flow quotient of a finite closure–residue system, and a continuous-time population flow induced by a finite-dimensional CPTP/GKSL dynamics. At the uniform four-state cell, the Fisher metric agrees with the metric used in the covariant finite-reclosure construction, and the exact quadratic reclosure map reproduces the constant-curvature Fisher tensor with a fixed coefficient. Transporting Fisher distinguishability by the observable Markov flow gives the unique pullback metric associated with operational tangent covariance. At a reversible stationary point the corresponding shape operator equals the Markov relaxation generator restricted to the probability tangent space. For an explicit anisotropic four-state reversible generator we compute a nonzero Codazzi defect and hence a nonzero mixed Lorentzian Riemann-curvature component. This supplies a finite, exact witness of local Lorentzian response curvature; it is not a derivation of the Einstein field equations, a universal physical light cone, or a global spacetime.\n\nWe further audit three stronger extensions. First, the reclosure-twist map admits a closed finite-cell formula; under a canonical Fisher-frame identification, torsion-free matching selects the normalization λ = 1. Second, exact microscopic propagation on the natural periodic K4 root lattice is anisotropic, while its quadratic infrared spatial symbol is forced to be Fisher-isotropic. Third, universal coupling and common propagating null branches follow conditionally from a single-master generative completeness principle, while a decoupled spectator construction shows that such completeness is not implied by the preceding finite reclosure results. These stronger statements are kept logically separate from the minimum curvature theorem.",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, Japan"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Katsuya Tagawa",
      "orcid": "0009-0008-1844-4175"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0r7x9h67ytjce.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23416342",
  "fulltext_url": null,
  "id": "0r7x9h67ytjce",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23416342",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23416342/files/Finite_Reclosure_and_Temporal_Fisher_Transport__A_Local_Lorentzian_Response_Curvature_Construction.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0r7x9h67ytjce.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:47Z",
      "native_id": "23416342",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23416342"
    }
  ],
  "subjects": [],
  "title": "Finite Reclosure and Temporal Fisher Transport: A Local Lorentzian Response-Curvature Construction",
  "title_text": "Finite Reclosure and Temporal Fisher Transport: A Local Lorentzian Response-Curvature Construction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/0r7x9h67ytjce",
  "venue": "Zenodo",
  "versions": []
}