dorsal/arxiv
View SchemaAnomalies in experimental data for the EPR-Bohm experiment: Are both classical and quantum mechanics wrong?
| Authors | Guillaume Adenier, Andrei Khrennikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607172 |
| URL | https://arxiv.org/abs/quant-ph/0607172 |
Abstract
We analyze anomalies in data to test the violation of Bell's inequality for the EPR-Bohm experiment. We found that the experimental correlations for photon polarization have an intriguing property. In the experimental data there are visible non-negligible deviations of probabilities $P_{++}^{\rm{exp}}(\alpha, \beta), P_{+-}^{\rm{exp}}(\alpha, \beta), P_{-+}^{\rm{exp}}(\alpha, \beta), P_{--}^{\rm{exp}}(\alpha, \beta) $ from the predictions of quantum mechanics, namely, $P_{++}(\alpha, \beta)=P_{--}(\alpha, \beta)= {1/2}\cos^2(\alpha-\beta)$ and $P_{+-}=P_{-+}(\alpha, \beta)={1/2}\sin^2(\alpha-\beta).$ However, in some mysterious way those deviations compensate each other and finally the correlation $E^{\rm{exp}}(\alpha, \beta)= P_{++}^{\rm{exp}}(\alpha, \beta)- P_{+-}^{\rm{exp}}(\alpha, \beta)- P_{-+}^{\rm{exp}}(\alpha, \beta)+ P_{--}^{\rm{exp}}(\alpha, \beta)$ is in the complete agreement with the QM-prediction, namely, $E(\alpha, \beta)= P_{++}(\alpha, \beta)- P_{+-}(\alpha, \beta)- P_{-+}(\alpha, \beta)+ P_{--}(\alpha, \beta)= \cos 2(\alpha-\beta).$ Therefore such anomalies play no role in the Bell's inequality framework. Nevertheless, other linear combinations of experimental probabilities do not have such a compensation property. There can be found non-negligible deviations from predictions of quantum mechanics. Thus neither classical nor quantum model can pass the whole family of statistical tests given by all possible linear combinations of the EPR-Bohm probabilities. Does it mean that both models are wrong?
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"abstract": "We analyze anomalies in data to test the violation of Bell\u0027s inequality for\nthe EPR-Bohm experiment. We found that the experimental correlations for photon\npolarization have an intriguing property. In the experimental data there are\nvisible non-negligible deviations of probabilities $P_{++}^{\\rm{exp}}(\\alpha,\n\\beta), P_{+-}^{\\rm{exp}}(\\alpha, \\beta), P_{-+}^{\\rm{exp}}(\\alpha, \\beta),\nP_{--}^{\\rm{exp}}(\\alpha, \\beta) $ from the predictions of quantum mechanics,\nnamely, $P_{++}(\\alpha, \\beta)=P_{--}(\\alpha, \\beta)=\n{1/2}\\cos^2(\\alpha-\\beta)$ and $P_{+-}=P_{-+}(\\alpha,\n\\beta)={1/2}\\sin^2(\\alpha-\\beta).$ However, in some mysterious way those\ndeviations compensate each other and finally the correlation\n$E^{\\rm{exp}}(\\alpha, \\beta)= P_{++}^{\\rm{exp}}(\\alpha, \\beta)-\nP_{+-}^{\\rm{exp}}(\\alpha, \\beta)- P_{-+}^{\\rm{exp}}(\\alpha, \\beta)+\nP_{--}^{\\rm{exp}}(\\alpha, \\beta)$ is in the complete agreement with the\nQM-prediction, namely, $E(\\alpha, \\beta)= P_{++}(\\alpha, \\beta)- P_{+-}(\\alpha,\n\\beta)- P_{-+}(\\alpha, \\beta)+ P_{--}(\\alpha, \\beta)= \\cos 2(\\alpha-\\beta).$\nTherefore such anomalies play no role in the Bell\u0027s inequality framework.\nNevertheless, other linear combinations of experimental probabilities do not\nhave such a compensation property. There can be found non-negligible deviations\nfrom predictions of quantum mechanics. Thus neither classical nor quantum model\ncan pass the whole family of statistical tests given by all possible linear\ncombinations of the EPR-Bohm probabilities. Does it mean that both models are\nwrong?",
"arxiv_id": "quant-ph/0607172",
"authors": [
"Guillaume Adenier",
"Andrei Khrennikov"
],
"categories": [
"quant-ph"
],
"title": "Anomalies in experimental data for the EPR-Bohm experiment: Are both classical and quantum mechanics wrong?",
"url": "https://arxiv.org/abs/quant-ph/0607172"
},
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