{
  "id": "oai:papers.qnfo.org:quasiparticles-as-rational-functions",
  "slug": "quasiparticles-as-rational-functions",
  "title": "Quasiparticles as Rational Functions: Extending ODR to Condensed Matter",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "The Ontological Distribution of Reality (ODR) framework identifies a particle with its Compton count N_C = m/m_P ∈ Q^+, a dimensionless rational number whose prime factorization assigns it a fixed vertex on the Bruhat–Tits tree. This paper extends that framework to address a natural objection: what of quasiparticles — phonons, magnons, Cooper pairs, and dressed electrons — whose effective mass depends on the host material? We argue that a quasiparticle is not an invariant vertex but a context-dependent edge traversal: a rational function N_C^*(α) = f(N_C^bare, N_C^lattice, dots) of the background Compton counts. This distinction recovers the intuitive hierarchy of condensed matter (bare particles as invariant substances, collective excitations as derived relations) within ODR's geometric ontology. We exemine three test cases: electron effective mass in semiconductors, phonon dispersion, and the CMB as a thermodynamic ensemble, and provide falsifiability conditions for the core claim.",
  "abstract_markdown": "The Ontological Distribution of Reality (ODR) framework identifies a particle with its Compton count \\(N_C = m/m_P \\in \\mathbb{Q}^+\\), a dimensionless rational number whose prime factorization assigns it a fixed vertex on the Bruhat–Tits tree. This paper extends that framework to address a natural objection: what of quasiparticles — phonons, magnons, Cooper pairs, and dressed electrons — whose effective mass depends on the host material? We argue that a quasiparticle is not an invariant vertex but a context-dependent edge traversal: a rational function \\(N_C^*(\\alpha) = f(N_C^{\\text{bare}}, N_C^{\\text{lattice}}, \\dots)\\) of the background Compton counts. This distinction recovers the intuitive hierarchy of condensed matter (bare particles as invariant substances, collective excitations as derived relations) within ODR's geometric ontology. We exemine three test cases: electron effective mass in semiconductors, phonon dispersion, and the CMB as a thermodynamic ensemble, and provide falsifiability conditions for the core claim.",
  "date": "2026-08-03",
  "first_published": "2026-08-03",
  "last_revised": "2026-08-03T00:00:00Z",
  "modified": "2026-08-03T00:00:00Z",
  "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/quasiparticles-as-rational-functions",
  "license_url": "https://legal.qnfo.org/",
  "license_spdx": null,
  "sha256": "13eb9b6179032e1d8ea67e446d968ecbc00773bca1f6722c562bdbb7ff9fd8d1",
  "version_url": "https://papers.qnfo.org/papers/quasiparticles-as-rational-functions/v/1.0.0",
  "datacite": {
    "schemaVersion": "http://datacite.org/schema/kernel-4",
    "identifiers": [
      {
        "identifier": "https://papers.qnfo.org/papers/quasiparticles-as-rational-functions",
        "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": "Quasiparticles as Rational Functions: Extending ODR to Condensed Matter"
      }
    ],
    "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": "2026-08-03",
        "dateType": "Issued"
      },
      {
        "date": "2026-08-03",
        "dateType": "Updated"
      }
    ],
    "language": "en",
    "version": "1.0.0",
    "rightsList": [
      {
        "rightsUri": "https://legal.qnfo.org/"
      }
    ],
    "descriptions": [
      {
        "description": "The Ontological Distribution of Reality (ODR) framework identifies a particle with its Compton count N_C = m/m_P ∈ Q^+, a dimensionless rational number whose prime factorization assigns it a fixed vertex on the Bruhat–Tits tree. This paper extends that framework to address a natural objection: what of quasiparticles — phonons, magnons, Cooper pairs, and dressed electrons — whose effective mass depends on the host material? We argue that a quasiparticle is not an invariant vertex but a context-dependent edge traversal: a rational function N_C^*(α) = f(N_C^bare, N_C^lattice, dots) of the background Compton counts. This distinction recovers the intuitive hierarchy of condensed matter (bare particles as invariant substances, collective excitations as derived relations) within ODR's geometric ontology. We exemine three test cases: electron effective mass in semiconductors, phonon dispersion, and the CMB as a thermodynamic ensemble, and provide falsifiability conditions for the core claim.",
        "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"
    ]
  }
}