dorsal/arxiv
View SchemaEPR-Bohm experiment, interference of probabilities, imprecision of time
| Authors | Andrei Khrennikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402068 |
| URL | https://arxiv.org/abs/quant-ph/0402068 |
Abstract
We demonstrate that the EPR-Bohm probabilities can be easily obtained in the classical (but contextual) probabilistic framework by using the formula of interference of probabilities. From this point of view the EPR-Bell experiment is just an experiment on interference of probabilities. We analyse the time structure of contextuality in the EPR-Bohm experiment. The conclusion is that quantum mechanics does not contradict to a local realistic model in which probabilities are calculated as averages over conditionings/measurements for pairs of instances of time $t_1< t_2.$ If we restrict our consideration only to simultaneous measurements at the fixed instance of time $t$ we would get contradiction with Bell's theorem. One of implications of this fact might be the impossibility to define instances of {\it time with absolute precision} on the level of the contextual microscopic realistic model.
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"abstract": "We demonstrate that the EPR-Bohm probabilities can be easily obtained in the\nclassical (but contextual) probabilistic framework by using the formula of\ninterference of probabilities. From this point of view the EPR-Bell experiment\nis just an experiment on interference of probabilities. We analyse the time\nstructure of contextuality in the EPR-Bohm experiment. The conclusion is that\nquantum mechanics does not contradict to a local realistic model in which\nprobabilities are calculated as averages over conditionings/measurements for\npairs of instances of time $t_1\u003c t_2.$ If we restrict our consideration only to\nsimultaneous measurements at the fixed instance of time $t$ we would get\ncontradiction with Bell\u0027s theorem. One of implications of this fact might be\nthe impossibility to define instances of {\\it time with absolute precision} on\nthe level of the contextual microscopic realistic model.",
"arxiv_id": "quant-ph/0402068",
"authors": [
"Andrei Khrennikov"
],
"categories": [
"quant-ph"
],
"title": "EPR-Bohm experiment, interference of probabilities, imprecision of time",
"url": "https://arxiv.org/abs/quant-ph/0402068"
},
"schema_id": "dorsal/arxiv",
"source": {
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"id": "arXiv Dataset IDs",
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