{
  "annotation_id": "e8c6a2f7-5217-46b2-bfc5-1a39e1973af0",
  "date_created": "2026-03-02T18:01:42.126000Z",
  "date_modified": "2026-03-02T18:01:42.126000Z",
  "file_hash": "480b6a4306fce9309a2466ce36c4c4a81c20cc0423e909831f22eed2b0942f62",
  "private": false,
  "record": {
    "abstract": "We study the following problem: Is it possible to explain the quantum\ninterference of probabilities in the purely corpuscular model for elementary\nparticles? We demonstrate that (by taking into account perturbation effects of\nmeasurement and preparation procedures) we can obtain $\\cos\\theta$-perturbation\n(interference term) in probabilistic rule connecting preparation procedures for\npurely corpuscular objects. On one hand, our investigation demonstrated that\nthere is nothing special in so called `quantum probabilities\u0027: the right choice\nof statistical ensembles gives the possibility to escape all `pathologies\u0027. On\nthe other hand, we found that the standard trigonometric interference of\nalternatives (observed, in particular, in quantum mechanics) is not the unique\npossibility to extend (disturb) the conventional probabilistic rule for\naddition of alternatives. There exist two other probabilistic rules that\nconnect three preparation procedures: hyperbolic and hyper-trigonometric\ninterferences.",
    "arxiv_id": "quant-ph/0103065",
    "authors": [
      "Andrei Khrennikov"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum statistics via perturbation effects of preparation procedures",
    "url": "https://arxiv.org/abs/quant-ph/0103065"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "61c39a12-b2da-48e6-8647-9e770de6606b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}