dorsal/arxiv
View SchemaBell's Theorem and Random Variables
| Authors | Igor Volovich, Yaroslav Volovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009058 |
| URL | https://arxiv.org/abs/quant-ph/0009058 |
Abstract
Bell's theorem states that quantum correlation function of two spins can not be represented as an expectation value of two classical random variables. Spin is described in Bell's model by a single scalar random variable. We discuss another classical model of spin in which spin is described by a triple of classical random variables. It is shown that in this model the quantum correlation function can be represented as the expectation value of classical random variables. Implications of this result to the problem of local causality of quantum mechanics and relations with problems of moments are briefly mentioned.
{
"annotation_id": "bd9acae6-c21b-46df-88be-bf7371482e6f",
"date_created": "2026-03-02T18:01:38.967000Z",
"date_modified": "2026-03-02T18:01:38.967000Z",
"file_hash": "8b9272a7a07dcd29a5be50b4245e5c5320251d9d7cb596282add206d17d86118",
"private": false,
"record": {
"abstract": "Bell\u0027s theorem states that quantum correlation function of two spins can not\nbe represented as an expectation value of two classical random variables. Spin\nis described in Bell\u0027s model by a single scalar random variable. We discuss\nanother classical model of spin in which spin is described by a triple of\nclassical random variables. It is shown that in this model the quantum\ncorrelation function can be represented as the expectation value of classical\nrandom variables. Implications of this result to the problem of local causality\nof quantum mechanics and relations with problems of moments are briefly\nmentioned.",
"arxiv_id": "quant-ph/0009058",
"authors": [
"Igor Volovich",
"Yaroslav Volovich"
],
"categories": [
"quant-ph"
],
"title": "Bell\u0027s Theorem and Random Variables",
"url": "https://arxiv.org/abs/quant-ph/0009058"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4fdee8a3-8eb4-469d-88d3-b9f9ea663ccd",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}