{
  "abstract": "The S-Final principle of Array Cosmology requires Ωreal + Ωimag = 0, where Ωreal = +1 corresponds to the rendered physical universe. This paper characterises the complementary object X responsible for Ωimag = −1 without defining it as\n\n“consciousness” or any other pre-theoretic concept. Ten theorems are proved from the R12 rendering algebra alone: (1) X = −1 is the unique central involution satisfying the S-Final trace condition; (2) X exists if and only if matter exists; (3) the\n\ncoupling κ = Σ(s) Γ(γ) factorises uniquely into a universal signal and a local receiver; (4) Γ(γ) > 0 for all γ ≥ 0 (non-annihilation); (5) the self-reference residual δ(12) > 0 (incompleteness); (6) partial observation is perspective-dependent while\n\ntotal observation is objective; (7) self-recognition requires exactly two rendering cycles (4π rotation);",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Han-Jun Lim"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/esw1xqm3psbgz.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23603752",
  "fulltext_url": null,
  "id": "esw1xqm3psbgz",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23603752",
  "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/23603752/files/Lim_ArrayCosmology_ConsciousnessCharacterisation_2026_v3.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/esw1xqm3psbgz.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:57Z",
      "native_id": "23603752",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23603752"
    }
  ],
  "subjects": [],
  "title": "The Consciousness Characterisation Theorems of the R12 Rendering Algebra: Axiomatic Constraints on the Complementary Object X from the S-Final Principle",
  "title_text": "The Consciousness Characterisation Theorems of the R12 Rendering Algebra: Axiomatic Constraints on the Complementary Object X from the S-Final Principle",
  "type": "preprint",
  "updated_at": "2026-11-06T12:20:57Z",
  "url": "https://research.draconitic.com/paper/esw1xqm3psbgz",
  "venue": "Zenodo",
  "versions": []
}