{
  "annotation_id": "a98ac85a-d222-460e-a5d6-77a82afbd2c1",
  "date_created": "2026-03-02T18:00:29.211000Z",
  "date_modified": "2026-03-02T18:00:29.211000Z",
  "file_hash": "a0a5aa89941db06dccd5308cc0c2c100d6d07aa2796d5a41dd31138c3fd70b08",
  "private": false,
  "record": {
    "abstract": "The irreversibility of the equations of classical dynamics (the Hamilton\nequations and the Liouville equation) in the space with multifractal time is\ndemonstrated. The time is given on multifractal sets with fractional\ndimensions. The last depends on densities of Lagrangians in a given time moment\nand in a given point of space. After transition to sets of time points with the\ninteger dimension the obtained equations transfer in the known equations of\nclassical dynamics. Production of an entropy is not equally to zero in space\nwith multifractal time, i.e. the classical systems in this space are\nnon-closed.",
    "arxiv_id": "physics/0002002",
    "authors": [
      "L. Ya. Kobelev"
    ],
    "categories": [
      "physics.gen-ph",
      "physics.class-ph"
    ],
    "title": "The Multifractal Time and Irreversibility in Dynamic Systems",
    "url": "https://arxiv.org/abs/physics/0002002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "577c517e-85ad-491d-9385-b8a999577c79",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}