{
  "id": "oai:papers.qnfo.org:re-deriving-quantum-entanglement-from-classical-radon-nikod-m-hydrodynamics-a-fo",
  "slug": "re-deriving-quantum-entanglement-from-classical-radon-nikod-m-hydrodynamics-a-fo",
  "title": "Re‑Deriving Quantum Entanglement from Classical Radon–Nikodým Hydrodynamics: A Formal Falsification Analysis of the Hydrodynamic Stability Hypothesis",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Engineers designing quantum‑network hardware and protocol designers optimizing entanglement distribution must treat multipartite entanglement as a scarce resource that enables secret sharing, distributed sensing, and fault‑tolerant computation. The Hydrodynamic Stability Hypothesis (HSH) claims that quantum mechanics, including GHZ‑type Bell‑violating correlations, can be reconstructed from classical measure theory by interpreting wavefunctions as Radon–Nikodým densities that relax into basins of attraction under a locally bounded hydrodynamic flow. The specific gap is the absence of an explicit derivation of GHZ‑type correlations from the hypothesis’s own axioms. We formalize HSH as four minimal axioms, derive the classical pointwise product constraint P₁P₂P₃P₄=+1 on the four GHZ triple correlations, and show that quantum mechanics predicts a product of -1. The resulting Mermin violation factor is 2 and the CHSH violation factor is √2≈1.414214. A labeled projection, conditional on the assumptions that the transport speed is bounded by c, the barrier width is L=10^-3 m, and the simulation timestep is at most one‑tenth of the crossing time, yields a required timestep of roughly 333 fs. The strong, local‑realist form of HSH is therefore falsified: any classical re‑derivation of GHZ statistics must relax at least one of the four axioms, and the logical fork comprises four distinct branches.",
  "abstract_markdown": "Engineers designing quantum‑network hardware and protocol designers optimizing entanglement distribution must treat multipartite entanglement as a scarce resource that enables secret sharing, distributed sensing, and fault‑tolerant computation. The Hydrodynamic Stability Hypothesis (HSH) claims that quantum mechanics, including GHZ‑type Bell‑violating correlations, can be reconstructed from classical measure theory by interpreting wavefunctions as Radon–Nikodým densities that relax into basins of attraction under a locally bounded hydrodynamic flow. The specific gap is the absence of an explicit derivation of GHZ‑type correlations from the hypothesis’s own axioms. We formalize HSH as four minimal axioms, derive the classical pointwise product constraint \\(P_{1}P_{2}P_{3}P_{4}=+1\\) on the four GHZ triple correlations, and show that quantum mechanics predicts a product of \\(-1\\). The resulting Mermin violation factor is \\(2\\) and the CHSH violation factor is \\(\\sqrt{2}\\approx1.414214\\). A labeled projection, conditional on the assumptions that the transport speed is bounded by \\(c\\), the barrier width is \\(L=10^{-3}\\,\\mathrm{m}\\), and the simulation timestep is at most one‑tenth of the crossing time, yields a required timestep of roughly \\(333\\,\\mathrm{fs}\\). The strong, local‑realist form of HSH is therefore falsified: any classical re‑derivation of GHZ statistics must relax at least one of the four axioms, and the logical fork comprises four distinct branches.",
  "date": "2026-10-12",
  "first_published": "2026-10-12",
  "last_revised": "2026-10-21T09:51:16Z",
  "modified": "2026-10-21T09:51:16Z",
  "version": "2.3.0",
  "version_count": 5,
  "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/re-deriving-quantum-entanglement-from-classical-radon-nikod-m-hydrodynamics-a-fo",
  "license_url": "https://legal.qnfo.org/",
  "license_spdx": null,
  "sha256": "42d093141fca05713535e9e2379693357cfc925fb78546c433e2ec266376f870",
  "version_url": "https://papers.qnfo.org/papers/re-deriving-quantum-entanglement-from-classical-radon-nikod-m-hydrodynamics-a-fo/v/2.3.0",
  "datacite": {
    "schemaVersion": "http://datacite.org/schema/kernel-4",
    "identifiers": [
      {
        "identifier": "https://papers.qnfo.org/papers/re-deriving-quantum-entanglement-from-classical-radon-nikod-m-hydrodynamics-a-fo",
        "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": "Re‑Deriving Quantum Entanglement from Classical Radon–Nikodým Hydrodynamics: A Formal Falsification Analysis of the Hydrodynamic Stability Hypothesis"
      }
    ],
    "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": "2026-10-12",
        "dateType": "Issued"
      },
      {
        "date": "2026-10-21",
        "dateType": "Updated"
      }
    ],
    "language": "en",
    "version": "2.3.0",
    "rightsList": [
      {
        "rightsUri": "https://legal.qnfo.org/"
      }
    ],
    "descriptions": [
      {
        "description": "Engineers designing quantum‑network hardware and protocol designers optimizing entanglement distribution must treat multipartite entanglement as a scarce resource that enables secret sharing, distributed sensing, and fault‑tolerant computation. The Hydrodynamic Stability Hypothesis (HSH) claims that quantum mechanics, including GHZ‑type Bell‑violating correlations, can be reconstructed from classical measure theory by interpreting wavefunctions as Radon–Nikodým densities that relax into basins of attraction under a locally bounded hydrodynamic flow. The specific gap is the absence of an explicit derivation of GHZ‑type correlations from the hypothesis’s own axioms. We formalize HSH as four minimal axioms, derive the classical pointwise product constraint P₁P₂P₃P₄=+1 on the four GHZ triple correlations, and show that quantum mechanics predicts a product of -1. The resulting Mermin violation factor is 2 and the CHSH violation factor is √2≈1.414214. A labeled projection, conditional on the assumptions that the transport speed is bounded by c, the barrier width is L=10^-3 m, and the simulation timestep is at most one‑tenth of the crossing time, yields a required timestep of roughly 333 fs. The strong, local‑realist form of HSH is therefore falsified: any classical re‑derivation of GHZ statistics must relax at least one of the four axioms, and the logical fork comprises four distinct branches.",
        "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"
    ]
  }
}