{
  "annotation_id": "fcdbe32b-6828-4b31-b1b4-debd89d2305f",
  "date_created": "2026-03-02T18:01:42.410000Z",
  "date_modified": "2026-03-02T18:01:42.410000Z",
  "file_hash": "54540c6bff36d802d532d85f7972b7be5d35b5b096f584df38d3bacd2f0b57a2",
  "private": false,
  "record": {
    "abstract": "The small amplitude-to-thread ratio helical configuration of a vortex\nfilament in the ideal fluid behaves exactly as de Broglie wave. The\ncomplex-valued algebra of quantum mechanics finds a simple mechanical\ninterpretation in terms of differential geometry of the space curve. The wave\nfunction takes the meaning of the velocity with which the helix rotates about\nthe screw axis. The helices differ in type of the screw - right or left-handed.\nTwo kinds of the helical waves deflect in the inhomogeneous fluid vorticity\nfield in the same way as spin particles in the Stern-Gerlach experiment.",
    "arxiv_id": "quant-ph/0012008",
    "authors": [
      "Valery P. Dmitriyev"
    ],
    "categories": [
      "quant-ph",
      "nlin.PS",
      "physics.ed-ph",
      "physics.flu-dyn"
    ],
    "journal_ref": "Journal of Applied Mathematics, vol. 2, No 5, pp. 241-263 (2002)",
    "title": "Mechanical analogy for the wave-particle: helix on a vortex filament",
    "url": "https://arxiv.org/abs/quant-ph/0012008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c80e985b-c3f2-441f-9534-2e5dd762137e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}