{
  "abstract": "We derive the next-to-leading-order (NLO) Hubble constant from the rendering algebra\n\nR12 ∼= M12(C) by formalising the role of the observer. Three theorems are proved.\n\n(1) Observer Uniqueness Theorem: the unique nontrivial operator in R12 that is simultaneously perspective-invariant (fixed by every ∗-automorphism), unitary, and Hermitian is B = −I12.\n\n(2) Self-Reference Inaccessibility Theorem (SRIT): for any completely positive trace-preserving (CPTP) map E on M12(C), we have E(B) = B; consequently, the bare internal structure of the observer (contributing 25/27 to the Arrhenius prefactor) is algebraically unresolvable by any physical operation within R12.\n\n(3) Landauer Replacement Theorem:t he only observable effect of B is its information-theoretic signature ln 2, arising from B2 = I (Z2 symmetry, 1 bit) and the Landauer principle. Combining these with the LO result of Paper XLIII",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Han-Jun Lim"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6wsyr4nxy8g9e.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23604033",
  "fulltext_url": null,
  "id": "6wsyr4nxy8g9e",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23604033",
  "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": [],
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  "pdf_url": "https://zenodo.org/api/records/23604033/files/Lim_ArrayCosmology_Observer_Cut_and_NLO_Hubble_Constant_2026_v3.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6wsyr4nxy8g9e.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:56Z",
      "native_id": "23604033",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23604033"
    }
  ],
  "subjects": [],
  "title": "The Observer Cut Principle, Self-Reference Inaccessibility, and the NLO Hubble Constant from the R12 Rendering Algebra",
  "title_text": "The Observer Cut Principle, Self-Reference Inaccessibility, and the NLO Hubble Constant from the R12 Rendering Algebra",
  "type": "preprint",
  "updated_at": "2026-11-06T12:20:56Z",
  "url": "https://research.draconitic.com/paper/6wsyr4nxy8g9e",
  "venue": "Zenodo",
  "versions": []
}