  First, this article considers the nature of quantum reality (the reality
responsible for quantum phenomena) and the concept of realism (our ability to
represent this reality) in quantum theory, in conjunction with the roles of
locality, causality, and probability and statistics there. Second, it offers
two interpretations of quantum mechanics, developed by the authors of this
article, the second of which is also a different (from quantum mechanics)
theory of quantum phenomena. Both of these interpretations are statistical. The
first interpretation, by A. Plotnitsky, "the statistical Copenhagen
interpretation," is nonrealist, insofar as the description or even conception
of the nature of quantum objects and processes is precluded. The second, by A.
Khrennikov, is ultimately realist, because it assumes that the
quantum-mechanical level of reality is underlain by a deeper level of reality,
described, in a realist fashion, by a model, based on the pre-quantum classical
statistical field theory (PCSFT), the predictions of which reproduce those of
quantum mechanics. Moreover, because the continuous fields considered in this
model are transformed into discrete clicks of detectors, experimental outcomes
in this model depend on the context of measurement in accordance with N. Bohr's
interpretation and the statistical Copenhagen interpretation, which coincides
with Bohr's interpretation in this regard.
