{
  "annotation_id": "49304eb8-401a-4bab-bcb2-7da69aea6469",
  "date_created": "2026-03-02T18:02:34.495000Z",
  "date_modified": "2026-03-02T18:02:34.495000Z",
  "file_hash": "9933e78a73dbfd6c2097331b50f099926cba62e7d5924d8e3c13d18de2017ebe",
  "private": false,
  "record": {
    "abstract": "This note is answering an old questioning about the F\\\u0027{e}nyes-Nelson\nstochastic mechanics. The Brownian nature of the quantum fluctuations, which\nare associated to this mechanics, is deduced from Feynman\u0027s interpretation of\nthe Heisenberg uncertainty principle via infinitesimal random walks stemming\nfrom nonstandard analysis. It is therefore no more necessary to combine those\nfluctuations with a background field, which has never been well understood.\nMost of the technical details are contained in an extended english abstract.",
    "arxiv_id": "quant-ph/0612033",
    "authors": [
      "Michel Fliess"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "title": "Approche intrins\\`{e}que des fluctuations quantiques en m\\\u0027{e}canique   stochastique (An intrinsic approach of the quantum fluctuations in stochastic   mechanics)",
    "url": "https://arxiv.org/abs/quant-ph/0612033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8fe9cbf6-73e0-41cd-a926-cbd0299a7405",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}