Statistical Contextual Explanation of Quantum Paradoxes

Abstract: We celebrate this year hundred years of quantum mechanics but there is still no consensus regarding its interpretation and limitations. In this article we advocate the statistical contextual interpretation which is free of paradoxes. State vectors 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. Probabilities are objective properties of random experiments in which empirical frequencies stabilize. Therefore, quantum probabilities do not provide a complete description of individual physical systems and their interactions. Whether these probabilities can be explained as emergent is an open question which cannot be settled by philosophical discussions and no-go theorems. It can be only answered by more detailed study of experimental data then it is usually done. Bell Tests allowed rejecting Bell local and Bell causal hidden variable models but 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.