{
  "abstract": "This paper provides a complete, top-down derivation of the existence, structure, and expansion rate of spacetime entirely from the ℜ₁₂ rendering algebra, using zero external physics.\n\nWe answer three fundamental cosmological questions using a single modular Hamiltonian H_mod = 7:\n\nExistence (Q1): Space emerges because the universe's baseline information budget (L = 220) strictly exceeds a single site's processing capacity (N² = 144), mathematically forcing a lattice structure.\n\nStructure (Q2): The algebraic real structure uniquely fixes the KO-dimension, selecting a (3+1) Lorentzian signature.\n\nExpansion (Q3): Cosmic expansion is the irreversible thermodynamic arrow of rendering. We derive the exact Hubble constant (H₀ = 66.18 km s⁻¹ Mpc⁻¹) as an Arrhenius rate of modular vacuum escape, governed by the Landauer information-erasure cost.\n\nNo general relativity.\n\nNo Friedmann equation.\n\nZero free parameters.\n\nEverything is derived strictly from the ℜ₁₂ algebra.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Han-Jun Lim"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/86v6dz3qqyyvc.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23604263",
  "fulltext_url": null,
  "id": "86v6dz3qqyyvc",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23604263",
  "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/23604263/files/Lim_ArrayCosmology_TopDown_Derivation_with_Zero_External_Physics_2026_v5.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/86v6dz3qqyyvc.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:54Z",
      "native_id": "23604263",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23604263"
    }
  ],
  "subjects": [],
  "title": "Spacetime Existence, Structure, and Expansion Rate from the R12 Rendering Algebra: A Complete Top-Down Derivation with Zero External Physics",
  "title_text": "Spacetime Existence, Structure, and Expansion Rate from the R12 Rendering Algebra: A Complete Top-Down Derivation with Zero External Physics",
  "type": "preprint",
  "updated_at": "2026-11-06T12:20:54Z",
  "url": "https://research.draconitic.com/paper/86v6dz3qqyyvc",
  "venue": "Zenodo",
  "versions": []
}