{
  "abstract": "Why does the quantum violation of the CHSH inequality reach exactly 2√2 (i.e., about 0.207 in the CH inequality)? Standard quantum mechanics computes this value from Hilbert-space algebra, but never exhibits its geometric origin.\n\nThis paper postulates a spherical virtual space (radius R=2, curvature K=1/4) underlying the qubit state space. Taking the singlet correlation law as input from standard quantum mechanics, the Tsirelson bound 2√2 is obtained by pure spherical-geometric optimization: it is the necessary consequence of the optimal four-vector configuration (coplanar, equal angles π/4) on the sphere. An appendix proves that, given spherical geometry, symmetry, and no-signaling, the Born rule and the cosine correlation law are equivalent — closing the logical chain from geometry to 2√2.\n\nThe framework is mathematically equivalent to standard quantum mechanics (no new predictions); its contribution is a geometric reinterpretation: the Tsirelson bound as a geometric necessity rather than an algebraic output. This work is a specific application of Information Dynamics to the foundations of quantum mechanics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Kai Huang",
      "orcid": "0009-0007-0898-180X"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3pnhy40pc9rwv.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23417558",
  "fulltext_url": null,
  "id": "3pnhy40pc9rwv",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23417558",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23417558/files/The%20Geometric%20Origin%20of%20CHSH%20Inequality%20Violations.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3pnhy40pc9rwv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:45Z",
      "native_id": "23417558",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23417558"
    }
  ],
  "subjects": [],
  "title": "The Geometric Origin of CHSH Inequality Violations: A Unified Derivation from the Qubit Manifold to the Tsirelson Bound",
  "title_text": "The Geometric Origin of CHSH Inequality Violations: A Unified Derivation from the Qubit Manifold to the Tsirelson Bound",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/3pnhy40pc9rwv",
  "venue": "Zenodo",
  "versions": []
}