{
  "annotation_id": "cfccc110-f0bd-45d8-a3f8-0408c38a6549",
  "date_created": "2026-03-02T18:02:30.428000Z",
  "date_modified": "2026-03-02T18:02:30.428000Z",
  "file_hash": "ceff71d0a378d98d15b674ff8abab354eb6410bc6af0c4fa1caad1db11dfec28",
  "private": false,
  "record": {
    "abstract": "Quantum Space-Time and Phase Space with fuzzy geometric structure are studied\nas possible formalism for quantization of massive particles and fields. In this\napproach the state of nonrelativistic particle m described by the fuzzy point\nof fuzzy (weakly) ordered Manifold X. Due to m partial ordering in X m\ncoordinate x principal uncertainty is generic in this ansatz. It\u0027s shown that\nin 1+1 dimension such Fuzzy Mechanics (FM) is equivalent to Path Integral\nformalism of Quantum Mechanics (QM).",
    "arxiv_id": "quant-ph/0609056",
    "authors": [
      "S. Mayburov"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Proc.Steklov Inst.Math. 245 (2004) 154",
    "title": "Fuzzy Space-Time and Phase Space Structure as approach to   Nonrelativistic Quantization",
    "url": "https://arxiv.org/abs/quant-ph/0609056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9b10ed67-c086-4f7f-902e-569c2886b076",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}