{
  "annotation_id": "d932d0cc-4817-47bf-bd11-47d98bb10f07",
  "date_created": "2026-03-02T18:01:46.033000Z",
  "date_modified": "2026-03-02T18:01:46.033000Z",
  "file_hash": "c42274e00d3ced882775699ba4f439952579ef542a78868b178e2bb9db37cc79",
  "private": false,
  "record": {
    "abstract": "It is shown that quantum mechanics can be regarded as what one might call a\n\"fuzzy\" mechanics whose underlying logic is the fuzzy one, in contradistinction\nto the classical \"crisp\" logic. Therefore classical mechanics can be viewed as\na crisp limit of a \"fuzzy\" quantum mechanics. Based on these considerations it\nis possible to arrive at the Schroedinger equation directly from the\nHamilton-Jacobi equation. The link between these equations is based on the fact\nthat a unique (\"crisp\") trajectory of a classical particle emerges out of a\ncontinuum of possible paths collapsing to a single trajectory according to the\nprinciple of least action. This can be interpreted as a consequence of an\nassumption that a quantum \"particle\" \"resides\" in every path of the continuum\nof paths which collapse to a single(unique) trajectory of an observed classical\nmotion. A wave function then is treated as a function describing a\ndeterministic entity having a fuzzy character. As a consequence of such an\ninterpretation, the complimentarity principle and wave-particle duality can be\nabandoned in favor of a fuzzy deterministic microoobject.",
    "arxiv_id": "quant-ph/0107054",
    "authors": [
      "A. Granik",
      "H. J. Caulfield"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Physics Essays, vol.9,496, (1996)",
    "title": "Fuzziness in Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0107054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2ff6ec16-4426-420c-9065-6d2c9ab2ce4f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}