{
  "abstract": "Whether classical spacetime remains welldefined at arbitrarily high curvature is a central question. In general relativity, singularities signal the breakdown of the classical description, motivating modifications of spacetime's short-distance structure. Pseudocomplex general relativity (pcGR) extends spacetime geometry to pseudo-complex coordinates, naturally introducing two metric sectors, the physical metric gμν and an auxiliary field fμν. The magnitude of the pseudo imaginary component defines the invariant acceleration scale a0, a direct consequence of the pseudo-complex structure. The simultaneity condition, requiring both idempotent sectors to satisfy the pseudo-complex Einstein equations independently, fixes the auxiliary field algebraically, with no new propagating degrees of freedom, and sets a lower bound on the lapse that regularizes curvature. The regularization is achieved through the combined effect of the lapse-gap condition eν(r) gt. a0, which ensures the radial metric component remains nondegenerate, together with the regularity conditions at the areal-radius origin, B(0) = 1 and B'(0) = 0, which emerge naturally from the pseudo-complex geometry. These conditions jointly eliminate the Schwarzschildtype curvature divergence, rather than the gap condition acting alone.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15916",
  "author_total": 3,
  "authors": [
    {
      "name": "Fridolin Weber"
    },
    {
      "name": "Peter Otto Hess"
    },
    {
      "name": "Cesar Augusto Zen Vasconcellos"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2mfcezw9gwag4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15916",
  "fulltext_url": null,
  "id": "2mfcezw9gwag4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15916",
  "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",
      "gr-qc"
    ],
    [
      "openalex",
      "3103|Relativity and Gravitational Theory"
    ]
  ],
  "openalex": "W7213370271",
  "pdf_url": "https://arxiv.org/pdf/2609.15916",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2mfcezw9gwag4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.15916",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15916"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Curvture Regularization and Dynamical Vacuum Structure in Pseudo-Complex General Relativity",
  "title_text": "Curvture Regularization and Dynamical Vacuum Structure in Pseudo-Complex General Relativity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/2mfcezw9gwag4",
  "venue": "arXiv",
  "versions": []
}