{
  "abstract": "A single formula mq = C(N, 3) γ1 exp(−Sq) with C(12, 3) = 220 (information budget) and γ1 (Riemann anchor) reproduces all three light quark masses (u, d, s) at 0.1–2.4% accuracy with zero free parameters. The suppression action Sq is a KMS\n\nBoltzmann cascade: Sq = (EQCD+ P2 C barrier2)/Tweak, where EQCD = b0 = 7 (QCD beta coefficient = number of running channels), Tweak = dim(fund, SU(2)) = 2 (weak-sector KMS temperature), and C barrier2 are Casimir invariants accumulated\n\nat each transition. The Casimir selection rule determines barriers: inter-generation transitions (topological, winding change) cost C2(adj, SU(3)) = 3; intra-generation transitions (algebraic, isospin rotation) cost C2(fund, SU(2)) = 3/4. The formula automatically recovers ms/md = exp(C2(8)) = exp(3) (Paper XXXIV) from Sd−Ss = 3 and yields a new identity C2(adj, SU(3)) = (N −Nf )/2 = (12−6)/2 = 3, linking the colour Casimir to the axis–flavour gap. The rendering ceiling Lγ1 = 220γ1 ≈ 3110 MeV coincides with m(J/ψ) = 3097 MeV (0.4%), identifying the J/ψ charmonium ground state as the light–heavy transition point.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Han-Jun Lim"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2bekqkmvn0xsc.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23604404",
  "fulltext_url": null,
  "id": "2bekqkmvn0xsc",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23604404",
  "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/23604404/files/Lim_ArrayCosmology_UnifiedQuarkMasses_CasimirCascade_2026_v3.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2bekqkmvn0xsc.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:54Z",
      "native_id": "23604404",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23604404"
    }
  ],
  "subjects": [],
  "title": "Unified Quark Mass Formula from the Casimir Cascade in R12: Boltzmann Suppression, Shannon Saturation, and the Rendered Charmonium Ceiling",
  "title_text": "Unified Quark Mass Formula from the Casimir Cascade in R12: Boltzmann Suppression, Shannon Saturation, and the Rendered Charmonium Ceiling",
  "type": "preprint",
  "updated_at": "2026-11-06T12:20:54Z",
  "url": "https://research.draconitic.com/paper/2bekqkmvn0xsc",
  "venue": "Zenodo",
  "versions": []
}