  We explore the possibility to give a classical explanation to the specifics
and physical sense of de Broglie matter waves when studying the microparticle
as an object of non zero size, from the point of view of the special theory of
relativity. We show that the particularities of de Broglie matter waves and the
results of the experimental verifications of Bell inequalities for the pairs of
entangled photons are naturally interpreted as the results of implementation of
the conclusions of the special theory of relativity to the microparticles. We
conclude that it is appropriate to go back to the search of the new means of
realistic description of the nature proposed by Einstein and his realistic
worldview that states that the world studied by the science is real and every
part of it at any moment of time has objective physical characteristics.
