{
  "abstract": "We investigate whether quantum metric fluctuations can destroy the differentiable Lorentzian support required for spacetime. We conjecture that non-Lorentzian metric elements are absent from the physical manifold and restrict admissible histories to a single continuing, causally connected four-dimensional geometry. To explore this proposal, we extrapolate the Gaussian transverse-traceless graviton vacuum to an additive metric ensemble with physical Fourier cutoff $k_{\\max}=1/q$. A lattice model with local repair and selection of periodically winding differentiable-state components gives a minimum surviving scale $q_{\\min}\\simeq1.9\\,\\ell_{\\rm P}$ over the simulated duration. We then examine two complementary curvature-induced deformations. For the Schwarzschild electric Weyl field, the smallest boundary radius at the center of a black hole, occurring when $q\\simeq2.5\\,\\ell_{\\rm P}$, is $r_{\\rm qb}\\simeq2.62\\,C_W^{1/3}(r_g\\ell_{\\rm P}^2)^{1/3} \\simeq1.91\\times10^{-22}\\, C_W^{1/3}\\left(\\rm M/\\rm M_\\odot\\right)^{1/3}\\mathrm{m}$, where $r_g=GM/c^2$ and $C_W$ parameterizes the finite-$q$ Weyl response. For homogeneous radiation, a supplementary Gaussian four-metric ensemble subject to linearized de Donder conditions gives $ρ_{\\rm qb}/ρ_{\\rm P}\\simeq1.31\\times10^{-2}/C_R$ at $q=2.5\\,\\ell_{\\rm P}$, where $C_R$ is the corresponding Ricci-response coefficient. The local homogeneous criterion is unchanged under reversal of the expansion rate. These model-dependent thresholds motivate a possible replacement of classical singular continuations by finite-curvature quantum boundaries.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03732",
  "author_total": 1,
  "authors": [
    {
      "name": "Edward J. Shaya"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3ta87f11rkzgt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03732",
  "fulltext_url": null,
  "id": "3ta87f11rkzgt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03732",
  "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",
      "3109|Noncommutative and Quantum Gravity Theories"
    ]
  ],
  "openalex": "W7220698408",
  "pdf_url": "https://arxiv.org/pdf/2610.03732",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3ta87f11rkzgt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.03732",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03732"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Signature Failure and Minimum Spatial Quanta: Shear-Induced Quantum Boundaries for Gravitational Path Integrals",
  "title_text": "Signature Failure and Minimum Spatial Quanta: Shear-Induced Quantum Boundaries for Gravitational Path Integrals",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/3ta87f11rkzgt",
  "venue": "arXiv",
  "versions": []
}