Does Special Relativity Have Limits of Applicability in the Domain of   Very Large Energies?
  We have shown in the paper that for time with fractional dimensions (multifractal time theory) there are small domain of velocities $v$ near $v=c$ where SR must be replaced by fractal theory of almost inertial system that do not contains an infinity and permits moving with arbitrary velocities. 
L.Ya.Kobelev