What does a violation of the Bell's inequality prove?

In this paper I show that the Einstein-Podolsky-Rosen-Bohm Gedankenexperiment and so-called entanglement of photons have a simple explanation within the framework of classical electrodynamics if we take into account the discrete (atomic) structure of the detectors and a specific nature of the light-atom interaction. In this case we do not find such a paradox as "spooky action at a distance". I show that CHSH criterion in EPRB Gedankenexperiment with classical light waves can exceed not only a maximum value S_HV=2 which is predicted by the local hidden-variable theories but also the maximum value S_QM=2.828 predicted by quantum mechanics and in this case there is no desire to construct a local hidden-variable theory.