{
  "abstract": "We derive the complete primordial inflation programme from the rendering algebra R12 ∼= M3(C) ⊗ M4(C) with zero free parameters. Twenty-four results are established across six domains. Amplitude: the scalar power spectrum As = exp(−20 + 11Z/60) (0.06%), where 60 = |A5| is the order of the icosahedral rotation group. Geometry: the icosahedron is the unique Platonic solid with V=N=12 vertices and φ-coordinates; its combinatorial data (V, E, F, χ) = (12, 30, 20, 2) map isomorphically onto (N, f(1)NcTw, L/rank, Tw). Dynamics: inflation is proven necessary (Clifford grade hierarchy), Ne = 16π e-folds with NLO = 16π + αs (0.0004% cross-identity), and spectral running dns/d ln k = −(ns−1) 2 . Non-Gaussianity: f sq NL = 5(1−ns)/12 (singleclock theorem with 5/12 = degico /V) and f equil NL = 5(ns−1) 2/12. Isocurvature: Piso/Padi = (15/8) exp(−20/3) = 0.0025. Two new N=12 uniqueness theorems are proven. No inflaton field, no potential, and no slow-roll parameters are employed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Han-Jun Lim"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1cwqfv6g7834k.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23604149",
  "fulltext_url": null,
  "id": "1cwqfv6g7834k",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23604149",
  "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/23604149/files/Lim_ArrayCosmology_SingleField_Inflation_Complete_2026_v4.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1cwqfv6g7834k.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:55Z",
      "native_id": "23604149",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23604149"
    }
  ],
  "subjects": [],
  "title": "Single-Field Inflation from the Rendering Algebra: Complete Derivation via Icosahedral Geometry",
  "title_text": "Single-Field Inflation from the Rendering Algebra: Complete Derivation via Icosahedral Geometry",
  "type": "preprint",
  "updated_at": "2026-11-06T12:20:55Z",
  "url": "https://research.draconitic.com/paper/1cwqfv6g7834k",
  "venue": "Zenodo",
  "versions": []
}