{
  "abstract": "Mathematical derivation of the positive cosmological constant &Lambda; > 0 from T 𝐓̅ -deformed CFT boundary states in the dS/CFT transition\n\nMathematical paper on the solution to the holographic transition problem from Anti-de Sitter (AdS) to de Sitter (dS) geometries\n\nDr. Theodor Heutschi\n\nIndependent Researcher, Lucerne, Switzerland\n\nE-Mail: th@heutschi.com Date: October 2026\n\nAbstract\n\nThe Maldacena holographic correspondence (AdS/CFT) is one of the most powerful paradigms in modern theoretical physics. Its fundamental limitation, however, lies in the assumption of an asymptotic Anti-de-Sitter bulk tree with a negative cosmological constant (&Lambda; < 0). Our real universe, by contrast, is characterised by accelerated expansion, which is described by a positive cosmological constant (&Lambda; > 0). In this paper, we present a rigorous mathematical derivation for overcoming this physical barrier. We prove that the mathematical deformation of a two-dimensional conformal field theory (CFT) by the irrelevant T T̅ operator not only enforces a finite radial cut-off r_c in the bulk, but also, under analytical continuation of the deformation coefficients λ ↦ -i λ_dS, induces an exact transformation of the asymptotic boundary conditions from a time-like hyperbolic boundary (AdS) to a space-like cosmological horizon (dS). We derive the exact functional relationship between the deformation parameter λ, the radial cut-off r_c and the effective positive cosmological constant &Lambda;_dS. This work thus provides the mathematical bridge for extending holographic principles to realistically expanding de Sitter cosmologies.\n\nAbstract\n\nDie holographische Korrespondenz nach Maldacena (AdS/CFT) bildet eines der mächtigsten Paradigmen der modernen theoretischen Physik. Ihre fundamentale Beschränkung liegt jedoch in der Annahme eines asymptotisch Anti-de-Sitter-Bulkbaums mit negativer kosmologischer Konstante (&Lambda; < 0). Unser reales Universum zeichnet sich hingegen durch eine beschleunigte Ausdehnung aus, welche durch eine positive kosmologische Konstante (&Lambda; > 0) charakterisiert wird. In dieser Arbeit präsentieren wir eine streng mathematische Herleitung zur Aufhebung dieser physikalischen Barriere. Wir beweisen, dass die mathematische Deformation einer zweidimensionalen konformen Feldtheorie (CFT) durch den irrelevanten T T̅-Operator nicht nur einen endlichen radialen Cut-off r_c im Bulk erzwingt, sondern unter analytischer Fortsetzung der Deformationskoeffizienten λ ↦ -i λ_dS eine exakte Transformation der asymptotischen Randbedingungen von einem Zeit-ähnlichen hyperbolischen Rand (AdS) zu einem Raum-ähnlichen kosmologischen Horizont (dS) induziert. Wir leiten die exakte funktionale Beziehung zwischen dem Deformationsparameter λ, dem radialen Cut-off r_c und der effektiven positiven kosmologischen Konstante &Lambda;_dS her. Damit liefert diese Arbeit die mathematische Brücke zur &Uuml;bertragung holographischer Prinzipien auf realistisch expandierende de-Sitter-Kosmologien.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Theodor Heutschi",
      "orcid": "0009-0008-1187-7461"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/29zcazfzd3mm7.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23600337",
  "fulltext_url": null,
  "id": "29zcazfzd3mm7",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23600337",
  "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/23600337/files/Mathematischer_Beweis_Kosmologische_Konstante_TT_Deformation_EN_V6.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/29zcazfzd3mm7.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:21:04Z",
      "native_id": "23600337",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23600337"
    }
  ],
  "subjects": [],
  "title": "Mathematical derivation of the positive cosmological constant Λ > 0 from T 𝐓̅ -deformed CFT boundary states in the dS/CFT transition",
  "title_text": "Mathematical derivation of the positive cosmological constant Λ > 0 from T 𝐓̅ -deformed CFT boundary states in the dS/CFT transition",
  "type": "preprint",
  "updated_at": "2026-11-06T12:21:04Z",
  "url": "https://research.draconitic.com/paper/29zcazfzd3mm7",
  "venue": "Zenodo",
  "versions": []
}