  Fundamental principle of classical physics -- local realism, means that
freely chosen observations can be explained by a local (slower than light) real
process. It is apparently violated in quantum mechanics as shown by Bell
theorem. Despite extreme efforts experiments have not conclusively confirmed
this violation due to loopholes. We propose a new postulate that the
description of quantum processes must be consistent with local realism, It also
assumes existence of many worlds/copies of the same system, interacting weakly
microscopically but strongly macroscopically, whose number can be estimated
experimentally.Bell theorem will never address a real experiment because its
assumptions cannot be strictly fulfilled. By an appropriate generalization of
quantum framework and measurement postulates, in particular taking into account
freedom of choice, local realism agrees with quantum mechanics and the
performed experiments, also involving single qubit coherence and a weaker
version of the Bell test, Einstein-Podolsky-Rosen steering.
