{
  "id": "oai:papers.qnfo.org:topological-extension-hypothesis",
  "slug": "topological-extension-hypothesis",
  "title": "Topological Extension Hypothesis",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Scientific modeling often relies on zero-dimensional point approximations, leading to mathematical singularities and empirical anomalies when resolution increases. Existing solutions like renormalization are procedural patches that fail to address the underlying ontological error across disparate disciplines. This manuscript introduces the topological extension hypothesis, positing that fundamental entities must possess non-zero dimension and topological stability to resolve these pathologies. Using spectral geometry and comparative isomorphism, the authors analyze divergences in physics, astrophysics, geography, and cognition to demonstrate the universality of this mechanism. The application of finite-volume regularization and topological charge stability successfully resolves singularities such as the UV catastrophe and the paradox of the specious present. This framework outperforms point-based models by accurately predicting the age spreads in stellar clusters and the hysteresis of cognitive retention. It is concluded that reality is fundamentally composed of extended, intersecting manifolds, necessitating a shift from local to topological ontologies.",
  "abstract_markdown": "Scientific modeling often relies on zero-dimensional point approximations, leading to mathematical singularities and empirical anomalies when resolution increases. Existing solutions like renormalization are procedural patches that fail to address the underlying ontological error across disparate disciplines. This manuscript introduces the topological extension hypothesis, positing that fundamental entities must possess non-zero dimension and topological stability to resolve these pathologies. Using spectral geometry and comparative isomorphism, the authors analyze divergences in physics, astrophysics, geography, and cognition to demonstrate the universality of this mechanism. The application of finite-volume regularization and topological charge stability successfully resolves singularities such as the UV catastrophe and the paradox of the specious present. This framework outperforms point-based models by accurately predicting the age spreads in stellar clusters and the hysteresis of cognitive retention. It is concluded that reality is fundamentally composed of extended, intersecting manifolds, necessitating a shift from local to topological ontologies.",
  "date": "2025-11-01",
  "first_published": "2025-11-01",
  "last_revised": "2025-11-01T00:00:00Z",
  "modified": "2025-11-01T00:00:00Z",
  "version": "1.0.0",
  "version_count": 1,
  "language": "en",
  "keywords": [],
  "quality_tags": [
    "High-quality scholarly research",
    "open-access scholarly work",
    "versioned research publication"
  ],
  "quality_label": "High-quality scholarly research",
  "quality_basis": "QNFO publisher classification for open-access, versioned research with a public revision history and reader correction channel; this is not a claim of independent peer review.",
  "quality_evidence_url": "https://qnfo.org/about",
  "peer_review_status": "Not independently peer-reviewed",
  "resource_type": "ScholarlyArticle",
  "doi": null,
  "doi_url": null,
  "url": "https://papers.qnfo.org/papers/topological-extension-hypothesis",
  "license_url": "https://legal.qnfo.org/",
  "license_spdx": null,
  "sha256": "a8244185b5f47632ae23eff24e5e91946f21ee84a55146489f0ca14de3cabd27",
  "version_url": "https://papers.qnfo.org/papers/topological-extension-hypothesis/v/1.0.0",
  "datacite": {
    "schemaVersion": "http://datacite.org/schema/kernel-4",
    "identifiers": [
      {
        "identifier": "https://papers.qnfo.org/papers/topological-extension-hypothesis",
        "identifierType": "URL"
      }
    ],
    "creators": [
      {
        "name": "Rowan Brad Quni-Gudzinas",
        "nameType": "Personal",
        "nameIdentifiers": [
          {
            "nameIdentifier": "https://orcid.org/0009-0002-4317-5604",
            "nameIdentifierScheme": "ORCID",
            "schemeUri": "https://orcid.org"
          }
        ]
      }
    ],
    "titles": [
      {
        "title": "Topological Extension Hypothesis"
      }
    ],
    "publisher": "QNFO",
    "publicationYear": "2025",
    "resourceType": {
      "resourceTypeGeneral": "Text",
      "resourceType": "ScholarlyArticle"
    },
    "subjects": [
      {
        "subject": "High-quality scholarly research",
        "subjectScheme": "QNFO publisher classification",
        "schemeUri": "https://qnfo.org/about"
      },
      {
        "subject": "open-access scholarly work",
        "subjectScheme": "QNFO publisher classification",
        "schemeUri": "https://qnfo.org/about"
      },
      {
        "subject": "versioned research publication",
        "subjectScheme": "QNFO publisher classification",
        "schemeUri": "https://qnfo.org/about"
      }
    ],
    "dates": [
      {
        "date": "2025-11-01",
        "dateType": "Issued"
      },
      {
        "date": "2025-11-01",
        "dateType": "Updated"
      }
    ],
    "language": "en",
    "version": "1.0.0",
    "rightsList": [
      {
        "rightsUri": "https://legal.qnfo.org/"
      }
    ],
    "descriptions": [
      {
        "description": "Scientific modeling often relies on zero-dimensional point approximations, leading to mathematical singularities and empirical anomalies when resolution increases. Existing solutions like renormalization are procedural patches that fail to address the underlying ontological error across disparate disciplines. This manuscript introduces the topological extension hypothesis, positing that fundamental entities must possess non-zero dimension and topological stability to resolve these pathologies. Using spectral geometry and comparative isomorphism, the authors analyze divergences in physics, astrophysics, geography, and cognition to demonstrate the universality of this mechanism. The application of finite-volume regularization and topological charge stability successfully resolves singularities such as the UV catastrophe and the paradox of the specious present. This framework outperforms point-based models by accurately predicting the age spreads in stellar clusters and the hysteresis of cognitive retention. It is concluded that reality is fundamentally composed of extended, intersecting manifolds, necessitating a shift from local to topological ontologies.",
        "descriptionType": "Abstract"
      },
      {
        "description": "Publisher quality classification: High-quality scholarly research. QNFO publisher classification for open-access, versioned research with a public revision history and reader correction channel; this is not a claim of independent peer review.",
        "descriptionType": "Other"
      },
      {
        "description": "Peer review status: Not independently peer-reviewed",
        "descriptionType": "Other"
      }
    ],
    "formats": [
      "text/html"
    ]
  }
}