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(α, β), P+-exp(α, β), P-+exp(α, β), P--exp(α, β) from the predictions of quantum mechanics, namely, P++(α, β)=P--(α, β)= 1/22(α-β) and P+-=P-+(α, β)=1/22(α-β). However, in some mysterious way those deviations compensate each other and finally the correlation Eexp(α, β)= P++exp(α, β)- P+-exp(α, β)- P-+exp(α, β)+ P--exp(α, β) is in the complete agreement with the QM-prediction, namely, E(α, β)= P++(α, β)- P+-(α, β)- P-+(α, β)+ P--(α, β)= 2(α-β). 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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