{
  "annotation_id": "0fc4d6ca-399d-4ebc-83d5-55eec002d607",
  "date_created": "2026-03-02T18:01:59.337000Z",
  "date_modified": "2026-03-02T18:01:59.337000Z",
  "file_hash": "cdf86f4be704a32dda56b0e791bbd187ecbca129cf1121dd4688310c34ecc45b",
  "private": false,
  "record": {
    "abstract": "A weakly nonlocal extension of ideal fluid dynamics is derived from the\nSecond Law of thermodynamics. It is proved that in the reversible limit the\nadditional pressure term can be derived from a potential. The requirement of\nthe additivity of the specific entropy function determines the quantum\npotential uniquely. The relation to other known derivations of Schr\\\"odinger\nequation (stochastic, Fisher information, exact uncertainty) is clarified.",
    "arxiv_id": "quant-ph/0304062",
    "authors": [
      "P. Van",
      "T. Fulop"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1098/rspa.2005.1588",
    "journal_ref": "Proceedings of the Royal Society,London A, 2006, V462, pp541-557",
    "title": "Weakly nonlocal fluid mechanics - the Schrodinger equation",
    "url": "https://arxiv.org/abs/quant-ph/0304062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7026062c-745c-4a10-82ba-29dbfbd25ae3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}