{
  "annotation_id": "6a9be280-fd2b-432b-a0a6-797d6a846051",
  "date_created": "2026-03-02T18:02:03.410000Z",
  "date_modified": "2026-03-02T18:02:03.410000Z",
  "file_hash": "73eefe1911f68f6c063c9dd7a744dc12be8c4a802ef460d38fa9cd5d8a3bff37",
  "private": false,
  "record": {
    "abstract": "We analyze statistical consequences of a conjecture that there exists a\nfundamental (indivisible) quant of time. We study particle dynamics with\ndiscrete time. We show that a quantum-like interference pattern could appear as\na statistical effect for deterministic particles, i.e. particles that have\ntrajectories and obey deterministic dynamical equations, if one introduces a\ndiscrete time. As a demonstration of this concept we consider particle\nscattering on a screen with a slit. We study how resulting interference picture\ndepends on the parameters of the model. The resulting interference picture has\na nontrivial minimum-maximum distribution which vanishes, as the time\ndiscreteness parameter goes to zero. This picture is qualitatively the same as\none obtained in quantum experiments. The picture includes some interesting\nnonclassical properties such as a \u0027black\u0027 region behind the center of the slit.",
    "arxiv_id": "quant-ph/0309012",
    "authors": [
      "Andrei Khrennikov",
      "Yaroslav Volovich"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Interference as a statistical consequence of conjecture on time quant",
    "url": "https://arxiv.org/abs/quant-ph/0309012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0168363b-26f4-47f6-9afd-c64b72cd61b1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}