{
  "annotation_id": "8ad9c170-af12-4089-a829-34ee75daf9fb",
  "date_created": "2026-03-02T18:01:41.709000Z",
  "date_modified": "2026-03-02T18:01:41.709000Z",
  "file_hash": "a0d3db98d57a8b41ac11acefcec08b8c45e52a446fc5af0508bb96dcdb0a9c06",
  "private": false,
  "record": {
    "abstract": "The aim of this work is the mathematical analysis of the physical\ntime-reversal operator and its definition as a geometrical structure\\QTR{bf}{,\n}in such a way that it could be generalized to the purely mathematical realm.\nRigorously, only having such a ``time-reversal structure\u0027\u0027 it can be decided\nwhether a dynamical system is time-symmetric or not.\\QTR{it}{\\}The\n``time-reversal structures\u0027\u0027 of several important physical and mathematical\nexamples are presented, showing that there are some mathematical categories\nwhose objects are the (classical or abstract) ``time-reversal systems\u0027\u0027 and\nwhose morphisms generalize the Wigner transformation.",
    "arxiv_id": "quant-ph/0103132",
    "authors": [
      "Mario Alberto Castagnino",
      "Adolfo Ramon Ordoniez",
      "Daniela Beatriz Emmanuele"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A general mathematical structure for the time-reversal operator",
    "url": "https://arxiv.org/abs/quant-ph/0103132"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b96e27de-980a-4939-9992-7a04daa8dd6d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}