{
  "abstract": "We show that the Hubble tension, the S8 tension, DESI’s dynamical dark-energy hint, and their mutual relationships are consequences of the self-referential structure of the\n\nrendering algebra R12 &sim;= M12(C), with zero free parameters. Five principal results are established.\n\n(1) Self-Referential Observation Correction (SROC): H0(method) = HNLO 0 exp(r δZ), reproducing Planck (0.2σ), TRGB (0.1σ), and SH0ES (0.3σ).\n\n(2) SelfReferential Modular Shift (SRMS): the shift &tau; &rarr; &tau; + iδZ/(2π) yields the Sign Rule—rates increase by e +δZ, amplitudes decrease by e −δZ—resolving the S8 tension at 0.1σ, and the Cross Identity [Hlocal 0 /HCMB 0] × [S local 8 /SCMB 8 ] = 1 (verified at 0.23%).\n\n(3) Self-Reference Damping: r = (1/&phi;2) n where n counts phasetransition feedbacks (n=0: Cepheid, n=1: TRGB, n=&infin;: CMB).\n\n(4) Quadruple Cauchy Duality: a fourth application of f(x+y) = f(x)f(y) yields the redshift dilution rz(z) = e −αz with decay rate α = NcN ln N/(L δ ln 2) = 0.665, in which (π−3) cancels algebraically. The Generalised SROC combines method damping and redshift dilution: rtotal = (1/&phi;2) n×e −αz .\n\n(5) Apparent Dark Energy Dynamics (ADED): the true equation of state is w = −1 (exact); the observed |weff+1| ≤ &eta;R ln N/L = 0.019 arises from z-dependent self-referential bias, with the Viscosity Bound saturated as an algebraic identity. DESI’s w0>−1, wa<0 pattern is a natural consequence.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Han-Jun Lim"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6d8v0zfjmkaxp.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23604203",
  "fulltext_url": null,
  "id": "6d8v0zfjmkaxp",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23604203",
  "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/23604203/files/Lim_ArrayCosmology_SROC_CosmologicalTensions_2026_v7.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6d8v0zfjmkaxp.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:55Z",
      "native_id": "23604203",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23604203"
    }
  ],
  "subjects": [],
  "title": "Hubble Tension, S8 Tension, and DESI Dark Energy as Self-Referential Observation Costs in the R12 Rendering Algebra",
  "title_text": "Hubble Tension, S8 Tension, and DESI Dark Energy as Self-Referential Observation Costs in the R12 Rendering Algebra",
  "type": "preprint",
  "updated_at": "2026-11-06T12:20:55Z",
  "url": "https://research.draconitic.com/paper/6d8v0zfjmkaxp",
  "venue": "Zenodo",
  "versions": []
}