dorsal/arxiv
View SchemaOn the Einstein-Podolsky-Rosen Proof of the `Incompleteness' of Quantum Mechanics
| Authors | J. H. Field |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702018 |
| URL | https://arxiv.org/abs/quant-ph/0702018 |
Abstract
It is shown that the Einstein-Podolsky-Rosen conclusion concerning the `incompleteness' of Quantum Mechanics does not follow from the results of their proposed gedanken experiment, but is rather stated as a premise. If it were possible to perform the experiment it would, in fact, show that Quantum Mechanics is `complete' for the observables discussed. Because, however, of the non square-integrable nature of the wave function, the proposed experiment gives vanishing probabilities for measurements performed in finite intervals of configuration or momentum space. Hence no conclusion as to the `completeness', or otherwise, of Quantum Mechanics can be drawn from the experiment.
{
"annotation_id": "8707855f-9697-457c-9b37-4e326ff75eb8",
"date_created": "2026-03-02T18:02:34.048000Z",
"date_modified": "2026-03-02T18:02:34.048000Z",
"file_hash": "87b17c935a4f643325c7e18172ba42a941d9689e3c853b265793e8929283cbb0",
"private": false,
"record": {
"abstract": "It is shown that the Einstein-Podolsky-Rosen conclusion concerning the\n`incompleteness\u0027 of Quantum Mechanics does not follow from the results of their\nproposed gedanken experiment, but is rather stated as a premise. If it were\npossible to perform the experiment it would, in fact, show that Quantum\n Mechanics is `complete\u0027 for the observables discussed.\n Because, however, of the non square-integrable nature of the wave function,\nthe proposed experiment gives vanishing probabilities for measurements\nperformed in finite intervals of configuration or momentum space. Hence no\nconclusion as to the `completeness\u0027, or otherwise, of Quantum Mechanics can be\ndrawn from the experiment.",
"arxiv_id": "quant-ph/0702018",
"authors": [
"J. H. Field"
],
"categories": [
"quant-ph"
],
"title": "On the Einstein-Podolsky-Rosen Proof of the `Incompleteness\u0027 of Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0702018"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "cf6e9d2e-2db0-4808-b7fa-91cad22cbc49",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}