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Resume: Einstein's Special Relativity Theory (SRT) has been long before disproved by an experiment, in which superlight speeds of particles are discovered, if a new method of equipment time scale calibration is used. A new space-time theory with superlight speeds and corollaries from it are stated. In this theory the light speed depends upon source speed according to square-law formula allowing to give a new and unified explanation, different from Big Bang theory, to many astronomical phenomena (relict radiation, red shift of far stars spectrums, novae, supernovae, pulsars etc.), new transformations of coordinates and time with unitary diagonal metric tensor have group properties and provide invariance of four-dimensional interval, bodies sizes contract in the direction of movement, time dilation is absent, mass does not and charge does depend upon the speed of movement, but charge-to-mass ratio is just the same as in the SRT. New electrodynamics of moving bodies is stated. The solution of muon-electron universality problem is given and an approach is suggested to solution of the problem of upcoming energy crisis stipulated by exhaustion on the Earth of fossil fuel (coal, oil, natural gas). It is shown here that the hypothesis about existence in reality of such particles as "neutrino", "muon", "pi-meson" has discredited itself.