Bell argument: Locality or realism? Time to make the choice

We discuss a possibility of resolution nonobjectivity-nonlocality dilemma in the light of experimental tests of the Bell inequality for two entangled photons and Bell-like inequality for a single neutron. Our conclusion is that on the basis of these experiments we can conclude that quantum mechanics is nonobjective, i.e., values of physical observables cannot be assigned to a system before measurement. The Bell's assumption of nonlocality has to be rejected as having no direct experimental confirmation. We discuss inter-relation nonobjectivity/contextuality. We analyze the impact of the Kochen-Specker theorem to the problem of contextuality of quantum observables. Our conclusion is that as well as von Neumann no-go theorem the the Kochen-Specker theorem is based on assumptions which do not match the real physical situation. Finally, we present theory of measurements for a classical purely wave model (prequantum classical statistical field theory) reproducing quantum probabilities. Here continuous fields a...