Physical Consequences of Moving Faster than Light in Empty Space
  Physical phenomena caused by particle's moving faster than light in a space with multifractal time with dimension close to integer ($d_{t}=1+\epsilon(r(t),t), |\epsilon| \ll 1$ - time is almost homogeneous and almost isotropic) are considered. The presence of gravitational field is taken into account. According to the results of the developed by the author theory, a particle with the rest energy $E_{0}$ would achieve the velocity of light if given the energy of about $E \sim 10^{3}E_{0}$ 
Leonid Ya. Kobelev