{
  "id": "oai:papers.qnfo.org:harmonische-paradigma-kappa-siit-v4",
  "slug": "harmonische-paradigma-kappa-siit-v4",
  "title": "Kappa/SIIT Cross-Validation: Exact Reproduction of Standard Model 1-Loop β-Functions and Resolution of the Harmonic-Paradigm Tension",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "We report a direct mathematical cross-validation of the Kappa / Scale-Invariant Information Thermodynamics framework (Quni-Gudzinas, 2025, the QNFO archive 17218944/17230397) against the Standard Model's known 1-loop renormalization-group β-functions. Through the single definition g_eff = g₀ κ(x) — the Kappa framework's postulate that effective gauge couplings are the bare coupling times a scale-invariant information field — substituted via chain rule into the textbook 1-loop QED and QCD β-functions, the Kappa framework exactly reproduces both β-functions in their correct leading-order structural form: β_QED(α) = (2/3π)α² and β_QCD(α_s) = -(11-2n_f/3)/(2π)α_s². The unknown bare coupling g₀ cancels identically in the reduction; the result is parameter-free and independent of any free constants. This resolves the open tension documented in the Harmonic Paradigm V3.0 (https://papers.qnfo.org/papers), which had recently retracted its own logistic β-function ansatz after finding it falsified by the very same QED β-function that the Kappa framework now reproduces correctly. [...]",
  "abstract_markdown": "We report a direct mathematical cross-validation of the Kappa / Scale-Invariant Information Thermodynamics framework (Quni-Gudzinas, 2025, the QNFO archive 17218944/17230397) against the Standard Model's known 1-loop renormalization-group β-functions. Through the single definition $g_{\\text{eff}} = g_0 \\kappa(x)$ — the Kappa framework's postulate that effective gauge couplings are the bare coupling times a scale-invariant information field — substituted via chain rule into the textbook 1-loop QED and QCD β-functions, the Kappa framework exactly reproduces both β-functions in their correct leading-order structural form: $\\beta_{\\text{QED}}(\\alpha) = (2/3\\pi)\\alpha^2$ and $\\beta_{\\text{QCD}}(\\alpha_s) = -(11-2n_f/3)/(2\\pi)\\alpha_s^2$. The unknown bare coupling $g_0$ cancels identically in the reduction; the result is parameter-free and independent of any free constants. This resolves the open tension documented in the Harmonic Paradigm V3.0 (https://papers.qnfo.org/papers), which had recently retracted its own logistic β-function ansatz after finding it falsified by the very same QED β-function that the Kappa framework now reproduces correctly. [...]",
  "date": "2026-07-22",
  "first_published": "2026-07-22",
  "last_revised": "2026-07-22T00:00:00Z",
  "modified": "2026-07-22T00:00:00Z",
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  "language": "en",
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  "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.",
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  "peer_review_status": "Not independently peer-reviewed",
  "resource_type": "ScholarlyArticle",
  "doi": null,
  "doi_url": null,
  "url": "https://papers.qnfo.org/papers/harmonische-paradigma-kappa-siit-v4",
  "license_url": "https://legal.qnfo.org/",
  "license_spdx": null,
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        "identifier": "https://papers.qnfo.org/papers/harmonische-paradigma-kappa-siit-v4",
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        "name": "Rowan Brad Quni-Gudzinas",
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    ],
    "titles": [
      {
        "title": "Kappa/SIIT Cross-Validation: Exact Reproduction of Standard Model 1-Loop β-Functions and Resolution of the Harmonic-Paradigm Tension"
      }
    ],
    "publisher": "QNFO",
    "publicationYear": "2026",
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    "dates": [
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        "date": "2026-07-22",
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    "descriptions": [
      {
        "description": "We report a direct mathematical cross-validation of the Kappa / Scale-Invariant Information Thermodynamics framework (Quni-Gudzinas, 2025, the QNFO archive 17218944/17230397) against the Standard Model's known 1-loop renormalization-group β-functions. Through the single definition g_eff = g₀ κ(x) — the Kappa framework's postulate that effective gauge couplings are the bare coupling times a scale-invariant information field — substituted via chain rule into the textbook 1-loop QED and QCD β-functions, the Kappa framework exactly reproduces both β-functions in their correct leading-order structural form: β_QED(α) = (2/3π)α² and β_QCD(α_s) = -(11-2n_f/3)/(2π)α_s². The unknown bare coupling g₀ cancels identically in the reduction; the result is parameter-free and independent of any free constants. This resolves the open tension documented in the Harmonic Paradigm V3.0 (https://papers.qnfo.org/papers), which had recently retracted its own logistic β-function ansatz after finding it falsified by the very same QED β-function that the Kappa framework now reproduces correctly. [...]",
        "descriptionType": "Abstract"
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        "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.",
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