dorsal/arxiv
View Schema`Quantum probabilities' as context depending probabilities
| Authors | Andrei Khrennikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106073 |
| URL | https://arxiv.org/abs/quant-ph/0106073 |
Abstract
We study transformations of conventional (`classical') probabilities induced by context transitions. It is demonstrated that the transition from one complex of conditions to another induces a perturbation of the classical rule for the addition of probabilistic alternatives. We classify such perturbations. It is shown that there are two classes of perturbations: (a) trigonometric interference; (b) hyperbolic interference. In particular, the well known `quantum interference of probabilistic alternatives' can be obtained in classical (but contextual) probabilistic framework. Therefore we need not apply to wave arguments (or consider superposition principle) to get Quantum Statistics. In particular, interference could be a feature of experiments with purely corpuscular objects.
{
"annotation_id": "bb672b3d-a54e-4ae1-8026-f60e36e7f77d",
"date_created": "2026-03-02T18:01:44.868000Z",
"date_modified": "2026-03-02T18:01:44.868000Z",
"file_hash": "b852eca4b18a428d9585a228d145a5e670e991862415b0e0e1c50c6e4984f369",
"private": false,
"record": {
"abstract": "We study transformations of conventional (`classical\u0027) probabilities induced\nby context transitions. It is demonstrated that the transition from one complex\nof conditions to another induces a perturbation of the classical rule for the\naddition of probabilistic alternatives. We classify such perturbations. It is\nshown that there are two classes of perturbations: (a) trigonometric\ninterference; (b) hyperbolic interference. In particular, the well known\n`quantum interference of probabilistic alternatives\u0027 can be obtained in\nclassical (but contextual) probabilistic framework. Therefore we need not apply\nto wave arguments (or consider superposition principle) to get Quantum\nStatistics. In particular, interference could be a feature of experiments with\npurely corpuscular objects.",
"arxiv_id": "quant-ph/0106073",
"authors": [
"Andrei Khrennikov"
],
"categories": [
"quant-ph"
],
"title": "`Quantum probabilities\u0027 as context depending probabilities",
"url": "https://arxiv.org/abs/quant-ph/0106073"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1fb7e1a3-9896-448d-ba6e-0188859f2b12",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}