{
  "annotation_id": "a80318c7-2c56-43c9-a6f1-93e73431604c",
  "date_created": "2026-03-02T18:01:55.717000Z",
  "date_modified": "2026-03-02T18:01:55.717000Z",
  "file_hash": "6ac2b444611942fca71da6ea57625400ea039c7d228b61331f7890cc2ac312ee",
  "private": false,
  "record": {
    "abstract": "Considering what the world would be like if backwards causation were possible\nis usually mind-bending. Here I discuss something that is easier to study: a\ntoy model that incorporates a very restricted sort of backwards causation. It\ndefines particle world lines by means of a kind of differential delay equation\nwith negative delay. The model presumably prohibits signalling to the past and\nsuperluminal signalling, but allows nonlocality while being fully covariant.\nAnd that is what constitutes the model\u0027s value: it is an explicit example of\nthe possibility of Lorentz invariant nonlocality. That is surprising in so far\nas many authors thought that nonlocality, in particular nonlocal laws for\nparticle world lines, must conflict with relativity. The development of this\nmodel was inspired by the search for a fully covariant version of Bohmian\nmechanics.",
    "arxiv_id": "quant-ph/0210207",
    "authors": [
      "Roderich Tumulka"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Pages 57-62 in: S. Albeverio and Ph. Blanchard (ed.s): The\n  Direction of Time. Springer-Verlag (2014)",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Two Arrows of Time in Nonlocal Particle Dynamics",
    "url": "https://arxiv.org/abs/quant-ph/0210207"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "edea9211-9b46-4ee5-800d-248d33c9ad84",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}