{
  "annotation_id": "b99b5e58-db62-4876-83ac-32d11ad8019f",
  "date_created": "2026-03-02T18:01:49.264000Z",
  "date_modified": "2026-03-02T18:01:49.264000Z",
  "file_hash": "7a9fe7fd3308bf2965cc2b88cde435e1f1cf13770d77e6d8052da2ba198b1ace",
  "private": false,
  "record": {
    "abstract": "An observable effects a schematization of the Quantum event structure by\ncorrelating Boolean algebras picked by measurements with the Borel algebra of\nthe real line. In a well-defined sense Boolean observables play the role of\ncoordinatizing objects in the Quantum world, by picking Boolean figures and\nsubsequently opening Boolean windows for the perception of the latter,\ninterpreted as local measurement charts. A mathematical scheme for the\nimplementation of this thesis is being proposed based on Category theoretical\nmethods. The scheme leads to a manifold representation of Quantum structure in\nterms of topos-theoretical Boolean reference frames. The coordinatizing objects\ngive rise to structure preserving maps with the modeling objects as their\ndomains, effecting finally an isomorphism between quantum event algebra objects\nand Boolean localization systems for the masurement of observables.",
    "arxiv_id": "quant-ph/0202057",
    "authors": [
      "Elias Zafiris"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Topos Theoretical Reference Frames on the Category of Quantum   Observables",
    "url": "https://arxiv.org/abs/quant-ph/0202057"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3f77b5e8-8d9d-4534-b2cf-d9f55c135e2d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}