{
  "id": "oai:papers.qnfo.org:reentrant-distinctions",
  "slug": "reentrant-distinctions",
  "title": "The Calculus of Re-Entrant Distinctions: A Unified Treatise on the Loop, the Tree, and the Constants of Self-Reference",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "This treatise develops a single thesis: that the primitive act of distinction — the drawing of a boundary between marked and unmarked — generates, under the discipline of re-entry and linear resource management, the constants e and π, the landscape of completions of the rational numbers, the loop–tree duality of the Langlands program, the mathematical structure of quantum theory, and the grammar of a universal logical language",
  "abstract_markdown": "This treatise develops a single thesis: that the primitive act of distinction — the drawing of a boundary between marked and unmarked — generates, under the discipline of re-entry and linear resource management, the constants $e$ and $\\pi$, the landscape of completions of the rational numbers, the loop–tree duality of the Langlands program, the mathematical structure of quantum theory, and the grammar of a universal logical language",
  "date": "2026-08-12",
  "first_published": "2026-08-12",
  "last_revised": "2026-08-12T00:00:00Z",
  "modified": "2026-08-12T00:00:00Z",
  "version": "0.9.0",
  "version_count": 1,
  "language": "en",
  "keywords": [
    "laws of form",
    "spencer-brown",
    "linear logic",
    "differential linear logic",
    "adelic geometry",
    "langlands program",
    "homotopy type theory",
    "quantum foundations",
    "ostrowski theorem",
    "traced monoidal categories",
    "philosophy of physics",
    "foundations of quantum mechanics",
    "consilience",
    "philosophy of mathematics",
    "p-adic numbers",
    "ultrametric spaces",
    "geometry of interaction",
    "cohesive homotopy type theory"
  ],
  "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/reentrant-distinctions",
  "license_url": "https://legal.qnfo.org/",
  "license_spdx": null,
  "sha256": "5eda791230ba4dc7d659d90c52e31d0d99a73f4b50b608f8a8cff3fdf01e5c0e",
  "version_url": "https://papers.qnfo.org/papers/reentrant-distinctions/v/0.9.0",
  "datacite": {
    "schemaVersion": "http://datacite.org/schema/kernel-4",
    "identifiers": [
      {
        "identifier": "https://papers.qnfo.org/papers/reentrant-distinctions",
        "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": "The Calculus of Re-Entrant Distinctions: A Unified Treatise on the Loop, the Tree, and the Constants of Self-Reference"
      }
    ],
    "publisher": "QNFO",
    "publicationYear": "2026",
    "resourceType": {
      "resourceTypeGeneral": "Text",
      "resourceType": "ScholarlyArticle"
    },
    "subjects": [
      {
        "subject": "laws of form"
      },
      {
        "subject": "spencer-brown"
      },
      {
        "subject": "linear logic"
      },
      {
        "subject": "differential linear logic"
      },
      {
        "subject": "adelic geometry"
      },
      {
        "subject": "langlands program"
      },
      {
        "subject": "homotopy type theory"
      },
      {
        "subject": "quantum foundations"
      },
      {
        "subject": "ostrowski theorem"
      },
      {
        "subject": "traced monoidal categories"
      },
      {
        "subject": "philosophy of physics"
      },
      {
        "subject": "foundations of quantum mechanics"
      },
      {
        "subject": "consilience"
      },
      {
        "subject": "philosophy of mathematics"
      },
      {
        "subject": "p-adic numbers"
      },
      {
        "subject": "ultrametric spaces"
      },
      {
        "subject": "geometry of interaction"
      },
      {
        "subject": "cohesive homotopy type theory"
      },
      {
        "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": "2026-08-12",
        "dateType": "Issued"
      },
      {
        "date": "2026-08-12",
        "dateType": "Updated"
      }
    ],
    "language": "en",
    "version": "0.9.0",
    "rightsList": [
      {
        "rightsUri": "https://legal.qnfo.org/"
      }
    ],
    "descriptions": [
      {
        "description": "This treatise develops a single thesis: that the primitive act of distinction — the drawing of a boundary between marked and unmarked — generates, under the discipline of re-entry and linear resource management, the constants e and π, the landscape of completions of the rational numbers, the loop–tree duality of the Langlands program, the mathematical structure of quantum theory, and the grammar of a universal logical language",
        "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"
    ]
  }
}