{
  "abstract": "Paper TS-AA resolves Open Question OQ-Z-1 by deriving the dark energy density parameter Omega_Lambda = 0.6847 from the FSC (Four-Sector Cosmology) Z4 symmetry breaking structure, completing the derivation of all three cosmological density parameters from first principles. The derivation proceeds in two stages. Stage 1: The Z4 vacuum structure of the FSC complex scalar field Phi = |Phi|e^{i*theta} (Paper F) is constrained by the Z4 asymmetry parameter delta = 0.2% (Paper D). Combining the Z4 restoring potential V_Z4 = kappa*cos(4*theta) with matter coupling V_matter = -g_eff * rho_M * |Phi|^2 * cos(2*theta) and imposing the scaling condition kappa = lambda*v^4/4 yields the closed-form result: g_eff * v^2 = Omega_II * delta / Omega_M = 1.688 * 10^{-3} theta_0 = pi/4 - delta/2 = pi/4 - 0.001 rad Stage 2: The Sector-IV decay lambda_IV = 1.25 * 10^{-17} s^{-1} (Paper D) combined with the FSC total energy conservation sum(Delta Omega_X) = 0 yields: Omega_Lambda ≡ Omega_III^final = 0.25 + 0.43391 = 0.68391 Agreement with Planck 2018: 0.12% (10.8% of 1-sigma uncertainty) The complete FSC parameter-free derivation: e^{ipi}+1=0 => {Omega_b, Omega_DM, Omega_Lambda} = {5%, 27%, 68%} Key correction applied (vs draft): C_FSC in Eq.(wa_theta) is established in Paper TS-T, Theorem 6.1 (Eq.(61)): C_FSC ≡ (-beta_theta) / (3|Phi|^2) New open questions: OQ-AA-1 (High): Derive H_0 from FSC OQ-AA-2 (Medium): Derive Omega_b, Omega_DM from Z4 dynamics independently Zero additional free parameters beyond standard cosmological inputs (H_0, Omega_b, Omega_DM; Planck 2018).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Yoshitaka Katakura"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cxtn4mftvg483.bib",
  "cited_by": 9,
  "doi": "10.5281/zenodo.22124970",
  "fulltext_url": null,
  "id": "cxtn4mftvg483",
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  "landing_url": "https://doi.org/10.5281/zenodo.22124970",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
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  "openalex": "W7204458707",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-27",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/cxtn4mftvg483.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:18Z",
      "native_id": "W7204458707",
      "source": "openalex",
      "url": "https://doi.org/10.5281/zenodo.22124970"
    }
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  "subjects": [
    {
      "field": "astronomy",
      "origin": "openalex:3103|Cosmology and Gravitation Theories",
      "subfield": "cosmology"
    }
  ],
  "title": "Paper TS-AA: Derivation of Omega_Lambda = 0.6847 from FSC Z4 Symmetry Breaking — Completing the FSC Parameter-Free Chain: e^{ipi}+1=0 => {Omega_b, Omega_DM, Omega_Lambda} = {5%, 27%, 68%} —",
  "title_text": "Paper TS-AA: Derivation of Omega_Lambda = 0.6847 from FSC Z4 Symmetry Breaking — Completing the FSC Parameter-Free Chain: e^{ipi}+1=0 => {Omega_b, Omega_DM, Omega_Lambda} = {5%, 27%, 68%} —",
  "type": "preprint",
  "updated_at": "2026-11-05T13:20:43Z",
  "url": "https://research.draconitic.com/paper/cxtn4mftvg483",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
  "versions": []
}