The assumption in Bell's inequalities and entanglement problem
Milo\v{s} V. Lokaj\'i\v{c}ek

TL;DR
This paper critically examines the assumptions behind Bell's inequalities, arguing that their classical basis excludes quantum characteristics and that experimental data do not refute hidden-variable theories, challenging conventional interpretations of quantum nonlocality.
Contribution
It highlights the overly strong classical assumption in Bell's inequalities and discusses alternative perspectives supporting hidden-variable theories.
Findings
Bell's inequalities rely on classical assumptions excluding quantum features.
Experimental data do not definitively refute hidden-variable theories.
Alternative approaches challenge the notion of nonlocality in quantum mechanics.
Abstract
Bell derived the given inequalities on the basis of one rather forceful assumption that was supposed to hold in the hidden variable theory. However, this assumption has been so strong that it has corresponded only to the classical physics; any dependence on spin orientations of individual objects (i.e., on quantum characteristics) having been practically excluded. And consequently, the hidden-variable theory has not been refused by corresponding experimental data. On the other side, Einstein's criticism of Copenhagen quantum mechanics based on ontological approach refusing nonlocality has been entitled as a much higher limit value corresponds to Bell's probability combination in such a case. And there is not any reason to believe in direct interaction between matter objects at greater distances as shown recently also by K. Hess on the basis of another approach.
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