{
  "annotation_id": "0a04d42d-a7a1-4e68-9506-ebe656b285b1",
  "date_created": "2026-03-02T18:01:42.016000Z",
  "date_modified": "2026-03-02T18:01:42.016000Z",
  "file_hash": "f01f250547ef88da8cf170365083860d0c4280a6ebfb65a9476a418fda855fc0",
  "private": false,
  "record": {
    "abstract": "We provide frequency probabilistic analysis of perturbations of physical\nsystems by preparation procedures. We obtained the classification of possible\nprobabilistic transformations connecting input and output probabilities that\ncan appear in physical experiments. We found that so called quantum\nprobabilistic rule is just one of possible rules. Besides the well known\ntrigonometric transformation (for example, for the polarization of light),\nthere exist the hyperbolic transformation of probabilities. In fact,\n`hyperbolic polarization\u0027 have laready been observed in experiments with\nelementary particles. However, it was not interpreted in such a way. The\nsituation is more complex with the hyperbolic interference of alternatives.",
    "arxiv_id": "quant-ph/0012141",
    "authors": [
      "Andrei Khrennikov"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Classification of transformations of probabilities for preparation   procedures: trigonometric and hyperbolic behaviours",
    "url": "https://arxiv.org/abs/quant-ph/0012141"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ce5e80a5-adf1-4e30-a1d8-d5ee22ae1ec5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}