{
  "id": "oai:papers.qnfo.org:consilience-physics-number-theory",
  "slug": "consilience-physics-number-theory",
  "title": "Consilience Between Physics and Number Theory: Convergent Theses from Ostrowski's Theorem to Adelic Quantum Mechanics",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "We synthesize convergent evidence from physics (quantum mechanics, quantum field theory, zitterbewegung, quantum error correction, the Standard Model mass spectrum) and number theory (Ostrowski's theorem, Tate's thesis, the Riemann zeta function, Bruhat-Tits buildings, the adele ring) into a unified consilience framework. The central organizing principle is Ostrowski's theorem — the classification of all non-trivial completions of the rational numbers as the Archimedean completion ℝ and the p-adic completions ℚₚ. We develop nine convergent theses, each with calibrated certainty ratings and explicit falsifiability conditions. Theses 1–7 connect specific physical phenomena (zitterbewegung as ℝ/ℚ₂ mixing, Bruhat-Tits trees as a discrete spacetime substrate, number-theoretic quantum error correction, transcendental numbers as Archimedean projection artifacts) to number-theoretic structure. Theses 8–9 generalize the framework: the Langlands program is argued to be \"adelic physics without the physics,\" and prime numbers are shown to share the same decomposition structure as irreducible representations of semisimple Lie algebras. We extend the consilience to non-physics domains (computation, biology, logic, category theory) and formulate a meta-principle: every formal system that assigns a similarity measure selects a completion of its base structure, and the convention's failure at certain scales reveals the true nature of the underlying structure. We document the framework's critical limitations: the Pythagorean semigroup mass fits carry a significant numerology risk, no experimentally confirmed p-adic signature has been observed, and a complete adelic quantum field theory has not been constructed. The framework is falsifiable via the experimental decision matrix of the QNFO Grand Synthesis.",
  "abstract_markdown": "We synthesize convergent evidence from physics (quantum mechanics, quantum field theory, zitterbewegung, quantum error correction, the Standard Model mass spectrum) and number theory (Ostrowski's theorem, Tate's thesis, the Riemann zeta function, Bruhat-Tits buildings, the adele ring) into a unified consilience framework. The central organizing principle is Ostrowski's theorem — the classification of all non-trivial completions of the rational numbers as the Archimedean completion ℝ and the p-adic completions ℚₚ. We develop nine convergent theses, each with calibrated certainty ratings and explicit falsifiability conditions. Theses 1–7 connect specific physical phenomena (zitterbewegung as ℝ/ℚ₂ mixing, Bruhat-Tits trees as a discrete spacetime substrate, number-theoretic quantum error correction, transcendental numbers as Archimedean projection artifacts) to number-theoretic structure. Theses 8–9 generalize the framework: the Langlands program is argued to be \"adelic physics without the physics,\" and prime numbers are shown to share the same decomposition structure as irreducible representations of semisimple Lie algebras. We extend the consilience to non-physics domains (computation, biology, logic, category theory) and formulate a meta-principle: every formal system that assigns a similarity measure selects a completion of its base structure, and the convention's failure at certain scales reveals the true nature of the underlying structure. We document the framework's critical limitations: the Pythagorean semigroup mass fits carry a significant numerology risk, no experimentally confirmed p-adic signature has been observed, and a complete adelic quantum field theory has not been constructed. The framework is falsifiable via the experimental decision matrix of the QNFO Grand Synthesis.",
  "date": "2026-07-26",
  "first_published": "2026-07-26",
  "last_revised": "2026-07-26T00:00:00Z",
  "modified": "2026-07-26T00:00:00Z",
  "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/consilience-physics-number-theory",
  "license_url": "https://legal.qnfo.org/",
  "license_spdx": null,
  "datacite": {
    "schemaVersion": "http://datacite.org/schema/kernel-4",
    "identifiers": [
      {
        "identifier": "https://papers.qnfo.org/papers/consilience-physics-number-theory",
        "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": "Consilience Between Physics and Number Theory: Convergent Theses from Ostrowski's Theorem to Adelic Quantum Mechanics"
      }
    ],
    "publisher": "QNFO",
    "publicationYear": "2026",
    "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": "2026-07-26",
        "dateType": "Issued"
      },
      {
        "date": "2026-07-26",
        "dateType": "Updated"
      }
    ],
    "language": "en",
    "version": "1.0.0",
    "rightsList": [
      {
        "rightsUri": "https://legal.qnfo.org/"
      }
    ],
    "descriptions": [
      {
        "description": "We synthesize convergent evidence from physics (quantum mechanics, quantum field theory, zitterbewegung, quantum error correction, the Standard Model mass spectrum) and number theory (Ostrowski's theorem, Tate's thesis, the Riemann zeta function, Bruhat-Tits buildings, the adele ring) into a unified consilience framework. The central organizing principle is Ostrowski's theorem — the classification of all non-trivial completions of the rational numbers as the Archimedean completion ℝ and the p-adic completions ℚₚ. We develop nine convergent theses, each with calibrated certainty ratings and explicit falsifiability conditions. Theses 1–7 connect specific physical phenomena (zitterbewegung as ℝ/ℚ₂ mixing, Bruhat-Tits trees as a discrete spacetime substrate, number-theoretic quantum error correction, transcendental numbers as Archimedean projection artifacts) to number-theoretic structure. Theses 8–9 generalize the framework: the Langlands program is argued to be \"adelic physics without the physics,\" and prime numbers are shown to share the same decomposition structure as irreducible representations of semisimple Lie algebras. We extend the consilience to non-physics domains (computation, biology, logic, category theory) and formulate a meta-principle: every formal system that assigns a similarity measure selects a completion of its base structure, and the convention's failure at certain scales reveals the true nature of the underlying structure. We document the framework's critical limitations: the Pythagorean semigroup mass fits carry a significant numerology risk, no experimentally confirmed p-adic signature has been observed, and a complete adelic quantum field theory has not been constructed. The framework is falsifiable via the experimental decision matrix of the QNFO Grand Synthesis.",
        "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"
    ]
  }
}