Statistical Contextual Explanation of Quantum Paradoxes

MARIAN KUPCZYNSKI^*

• University of Quebec in Outaouais, Gatineau, Canada

We celebrate this year hundred years of quantum mechanics. Incorrect interpretations of QM and incorrect mental models of invisible details of quantum phenomena lead to paradoxes. To explain these paradoxes we advocate the statistical contextual interpretation (SCI) of quantum mechanics.. State vectors (wave functions) and various operators are purely mathematical entities allowing making quantitative probabilistic predictions. State vector describes an ensemble of identically prepared physical systems and a specific operator represents a class of equivalent measurements of a physical observable. A collapse of wave function is not a mysterious and instantaneous physical process. A collapsed quantum state describes a new ensemble of physical systems prepared in a particular way. A value of a physical observable, such as a spin projection, associated with a pure quantum ensemble is a characteristic of this ensemble created by its interaction with measuring instruments. Probabilities are objective properties of random experiments in which empirical frequencies stabilize. Following Einstein, SCI rejects claim that quantum mechanics provides a complete description of individual physical systems but it remains agnostic on whether a more detailed subquantum description can be found or is necessary. In conformity with Bohr contextuality, SCI rejects Bell-local and Bell-causal hidden variable models. Nevertheless, by incorporating into probabilistic model contextual hidden variables measuring instruments, long distance quantum correlations studied in Bell Tests can be explained without evoking quantum nonlocality or retrocausality. SCI allows explaining several quantum phenomena without evoking quantum magic. SCI does not claim to provide a complete description of quantum phenomena. In fact, we even don't know whether quantum probabilities provide a complete description of existing experimental data. Time series of experimental data may contain much more information than it is obtained using empirical frequencies and histograms. Therefore, predictable completeness of quantum mechanics has be tested and not taken for granted.