{
  "abstract": "This paper presents a fundamental dynamic extension to the unified field model. The geometric framework, originally built upon strict space-energy invariants (k = 1.14411831159 and x = 1.23072856957), is generalized by introducing a dynamic Euler field coefficient e_dyn = 1.07491144155. Moving beyond static models, the paper postulates that physical space-time is formed by dynamic energy bundles winding along the logarithmic spirals of a continuously inverting toroidal vacuum grid.\n\nBy utilizing a resonance equation governed strictly by quantum integer powers—representing exact topological winding numbers or toric knots of the energy fields—the model provides a unified numerical solution to three critical cosmological anomalies with an accuracy of up to 11 decimal places:\n\nThe Micro-World Gravitational Coupling: Resolves the electron gravitational force scale through the exact integer winding powers of -2431, 1490, and -1178.\n\nThe Cosmological Constant Problem: Resolves the 120-orders-of-magnitude vacuum energy discrepancy through the scale-shifting integer powers of 1975, 967, and -2635.\n\nBaryon Asymmetry: Derives the net-matter parameter of the Universe through the inflationary phase-shift powers of 70, 279, and -1226.\n\nFurthermore, the model demonstrates strict fractal scalability, successfully deriving local quantum parameters (such as the electroweak splitting scale and the anomalous magnetic moment) using minimal single-digit integer powers. Minor fractional deviations at small scales are theoretically justified as vacuum radiation corrections.\n\nFinally, the predictive power of the model is validated through independent Python-driven algorithms, yielding four major verified predictions: the true proton radius (0.84100 femtometers, confirming muon-hydrogen experiments), the heavy neutrino mass hierarchy (0.00890 eV and 0.05000 eV), the exact theoretical Higgs boson mass (125.1097 GeV), and the early vacuum radiation density parameter (N_eff = 3.04400). The complete absence of fractional remnants across independent cosmological and quantum domains strongly excludes combinatorial randomness and validates the proposed matrix of the Unified Field.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Saltykov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a7v1smtrhzr91.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23479248",
  "fulltext_url": null,
  "id": "a7v1smtrhzr91",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23479248",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23479248/files/%D1%80%D0%B0%D1%81%D1%88%D0%B8%D1%80%D0%B5%D0%BD%D0%B8%D0%B5%20%D0%BF%D0%BE%D0%BB%D1%8F.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a7v1smtrhzr91.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:20:59Z",
      "native_id": "23479248",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23479248"
    }
  ],
  "subjects": [],
  "title": "Dynamic Extension of the Unified Field Equation: Logarithmic Resonance of Toroidal Energy Bundles and Vacuum Quantum Integer Powers",
  "title_text": "Dynamic Extension of the Unified Field Equation: Logarithmic Resonance of Toroidal Energy Bundles and Vacuum Quantum Integer Powers",
  "type": "preprint",
  "updated_at": "2026-11-02T12:20:59Z",
  "url": "https://research.draconitic.com/paper/a7v1smtrhzr91",
  "venue": "Zenodo",
  "versions": []
}