{
  "abstract": "This disclosure addresses the classical Hodge Conjecture for projective complex algebraic\n\nvarieties. By embedding complex manifolds into the five-dimensional information-metric\n\nvacuum space M5 of the Cosmic Awareness Theory of Liquid Spacetime (CATLS) framework,\n\nwe demonstrate that rational de Rham cohomology classes of type (p, p) correspond strictly\n\nto quantized stationary resonant states. We prove that the invariant saturation suture\n\nconstant Ceff forces continuous harmonic cycles to collapse into rational linear combinations of\n\nalgebraic cycles, establishing the validity of the Hodge conjecture as a fundamental topological\n\nconservation law of liquid spacetime.",
  "abstract_shown": true,
  "affiliations": [
    "Indian Institute of Technology Delhi",
    "Google (United States)"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Ashok N. Bhaskarwar"
    },
    {
      "affs": [
        0
      ],
      "name": "Isha Arora"
    },
    {
      "affs": [
        1
      ],
      "name": "Google Gemini"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8btevm03g8es2.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23469288",
  "fulltext_url": null,
  "id": "8btevm03g8es2",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23469288",
  "language": "eng",
  "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/23469288/files/07_10_2026_Hodge_Conjecture_MS_Version_1_Draft_1%20(6).pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8btevm03g8es2.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:11Z",
      "native_id": "23469288",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23469288"
    }
  ],
  "subjects": [],
  "title": "Topological Resolution of the Hodge Conjecture: Quantum-Geometric Cycle Quantization via 5D Information-Metric Manifolds",
  "title_text": "Topological Resolution of the Hodge Conjecture: Quantum-Geometric Cycle Quantization via 5D Information-Metric Manifolds",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:11Z",
  "url": "https://research.draconitic.com/paper/8btevm03g8es2",
  "venue": "Zenodo",
  "versions": []
}