dorsal/arxiv
View SchemaBell's Theorem Reexamined
| Authors | Luiz Carlos Ryff |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510101 |
| URL | https://arxiv.org/abs/quant-ph/0510101 |
Abstract
An Einstein-Podolsky-Rosen (EPR)-like argument using events separated by a time-like interval strongly suggestes that measuring the polarization state of a photon of an entangled pair changes the polarization state of the other distant photon. Trough a very simple demonstration, the Wigner-D'Espagnat inequality is used to show that in order to prove Bell's theorem neither the assumption that there is a well-defined space of complete states $\lambda $ of the particle pair and well-defined probability distribution $\rho (\lambda)$ over this space nor the use of counterfactuals is necessary. These results reinforce the viewpoint that quantum mechanics implicitly presupposes some sort of nonlocal connection between the particles of an entangled pair. As will become evident from our discussion, relinquishing realism and/or free will cannot solve this apparent puzzle.
{
"annotation_id": "5059b9c2-2f3a-4944-b722-f95eb7c95587",
"date_created": "2026-03-02T18:02:20.597000Z",
"date_modified": "2026-03-02T18:02:20.597000Z",
"file_hash": "ea072225b9d19d35eb64849146943d522f5bb0664937dc19c850ce56a11b9c89",
"private": false,
"record": {
"abstract": "An Einstein-Podolsky-Rosen (EPR)-like argument using events separated by a\ntime-like interval strongly suggestes that measuring the polarization state of\na photon of an entangled pair changes the polarization state of the other\ndistant photon. Trough a very simple demonstration, the Wigner-D\u0027Espagnat\ninequality is used to show that in order to prove Bell\u0027s theorem neither the\nassumption that there is a well-defined space of complete states $\\lambda $ of\nthe particle pair and well-defined probability distribution $\\rho (\\lambda)$\nover this space nor the use of counterfactuals is necessary. These results\nreinforce the viewpoint that quantum mechanics implicitly presupposes some sort\nof nonlocal connection between the particles of an entangled pair. As will\nbecome evident from our discussion, relinquishing realism and/or free will\ncannot solve this apparent puzzle.",
"arxiv_id": "quant-ph/0510101",
"authors": [
"Luiz Carlos Ryff"
],
"categories": [
"quant-ph"
],
"title": "Bell\u0027s Theorem Reexamined",
"url": "https://arxiv.org/abs/quant-ph/0510101"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "40c316c0-1d7f-468e-b080-85c30321c6c1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}