  The violation of the invariance of the speed of light in Special Relativity
has been made. The version of the theory (LSR) has been constructed in which
the possibility of the superluminal motions are permitted. Some predictions of
this theory are available for experimental check, for example, the measurements
of aberration angles, the observation of distinctions between the redshifts in
radio and optical ranges of a spectrum, the detection of superluminal objects
in astrophysics and in time-flight experiments.
