Anomalies in experimental data for the EPR-Bohm experiment: Are both classical and quantum mechanics wrong?

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 $P_{++}^{\exp }(\alpha ,\beta ),P_{+-}^{\exp }(\alpha ,\beta ),P_{-+}^{\exp }(\alpha ,\beta ),P_{--}^{\exp }(\alpha ,\beta )$ 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 $E^{\exp }(\alpha ,\beta )=P_{++}^{\exp }(\alpha ,\beta )-P_{+-}^{\exp }(\alpha ,\beta )-P_{-+}^{\exp }(\alpha ,\beta )+P_{--}^{\exp }(\alpha ,\beta )$ 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?

Presented in talks at conferences: "Foundations of Probability and Physics-4" (Vaxjo, Sweden, June 2006), "Quantum Probability" (Greifswald, Germany, March 2006 and Nottingham, UK, July 2006), "Quantum Structures Association" (Malta, July 2006)

References in corpus (1)

• Is the Fair Sampling Assumption supported by EPR Experiments?

Cited by in corpus (1)

• Topological charges and quasi-charges in Absolute Parallelism