{
  "abstract": "We derive the complete cosmological energy budget, all three Standard Model gauge couplings, and the CKM quark mixing matrix from the five structural constants {N = 12, C2 = 3, Tw = 2, (π − 3), ln 2} of the rendering algebra R12 ∼= M12(C).\n\nPart I (Cosmology): The baryonic density Ωb = Z/Tw (0.15%), dark-to-baryon ratio ΩDM/Ωb = 12π/7 (0.27%), and dark energy ΩΛ ≈ b0Z (0.34%) are all proportional to the vacuum friction Z = (π − 3) ln 2.\n\nPart II (Gauge Couplings): The fine-structure constant inverse α −1 = N2 − (π − 3)−1 + Z = 137.036 (0.0003%) follows from spectral mode counting on M12; the Weinberg angle sin2 θW = ln 2/3 (0.07%) from additive Cauchy duality and Landauer equipartition over dim(M3) = 9; and the strong coupling αs = ζ(3)Z (0.06%) from the 3D Bose–Einstein thermal density normalised by the KMS temperature Tw.\n\nPart III (CKM Matrix): The Cabibbo element |Vus| = e−3/2(1.0%), the bottomcoupling |Vcb| = e−(3+2Z) (0.2%), and |Vub| = |Vus| |Vcb|×5/12 (0.4%) emerge from Casimirbarrier tunnelling with QCD channel blocking.\n\nThe Wolfenstein parameter A = e −2Z is an exact identity, and δCKM = ζ(3) rad (0.5%) reproduces the Jarlskog invariant J = 3.15×10−5 (0.8%). A cross-sector theorem |Vus| 2 × (ms/md) = 1 links CKM mixing to the quark mass hierarchy.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Han-Jun Lim"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4g5p7edpbe92q.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23625103",
  "fulltext_url": null,
  "id": "4g5p7edpbe92q",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23625103",
  "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/23625103/files/Lim_ArrayCosmology_CosmologicalBudget_2026_v4.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4g5p7edpbe92q.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T12:20:37Z",
      "native_id": "23625103",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23625103"
    }
  ],
  "subjects": [],
  "title": "The Cosmological Energy Budget, Gauge Couplings, and CKM Matrix from R12 Structural Constants",
  "title_text": "The Cosmological Energy Budget, Gauge Couplings, and CKM Matrix from R12 Structural Constants",
  "type": "preprint",
  "updated_at": "2026-11-07T12:20:37Z",
  "url": "https://research.draconitic.com/paper/4g5p7edpbe92q",
  "venue": "Zenodo",
  "versions": []
}