{
  "abstract": "We resolve the strong CP problem and derive the absolute neutrino mass scale from the R12 rendering algebra of Array Cosmology (AC) with zero free parameters.\n\nThe QCD vacuum angle θ is shown to be exactly zero as the unique value satisfying both the closure relation e1e2 · · · e12 = −1 (which restricts θ to multiples of π/6) and the parity pair relation ek · ek+6 = Znoise ·1 (which further restricts θ to multiples of\n\nπ), with θ = π excluded by experimental CP conservation. Thermal corrections give |θeff| ∼ Z12 noise ≈ 8 × 10−13, two orders of magnitude below the current experimental bound. The prediction that no axion exists is falsifiable. The heaviest neutrino mass\n\nis derived as m3 = me Z b0 noise/(1 − Znoise), where me is the electron mass, Znoise = (π − 3) ln 2 is the vacuum Landauer noise, and b0 = 7 is the QCD one-loop betafunction coefficient. This yields m3 = 0.0497 eV, matching p ∆m2 atm = 0.0495 eV\n\nto 0.35% and predicting normal mass hierarchy with Pmi = 0.054 eV, testable by JUNO, Project 8, and CMB-S4.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Han-Jun Lim"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3cwtv9c4xhf5q.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23604242",
  "fulltext_url": null,
  "id": "3cwtv9c4xhf5q",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23604242",
  "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/23604242/files/Lim_ArrayCosmology_StrongCP_NeutrinoMass_2026_v6.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3cwtv9c4xhf5q.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:54Z",
      "native_id": "23604242",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23604242"
    }
  ],
  "subjects": [],
  "title": "The Strong CP Angle as an Index Phase, the Quark Mass Determinant, and the Neutrino Mass Sector from the Rendering Algebra R12",
  "title_text": "The Strong CP Angle as an Index Phase, the Quark Mass Determinant, and the Neutrino Mass Sector from the Rendering Algebra R12",
  "type": "preprint",
  "updated_at": "2026-11-06T12:20:54Z",
  "url": "https://research.draconitic.com/paper/3cwtv9c4xhf5q",
  "venue": "Zenodo",
  "versions": []
}