Possibility of faster-than-light particles with real mass

The author derives a new expression for the dependence of mass on velocity without using any space-time conception. This expression is more general than the corresponding law of the special theory of relativity (STR). The deviations from the STR increase with increasing rest mass. Thus one should measure the dependence of mass on velocity for particles (or systems) with a large rest mass. The theory predicts that particles with real mass can travel with hyperlight velocities. The space-time picture discussed here is very close to Mach's conception: it is assumed that the cause for the dynamical behaviour of a particle, which is in uniform translational motion, is due to the action of all the other masses in the universe. Space-time is eliminated as an active cause and, in contrast with the STR, space-time does not form an absolute continuum within the theory discussed here. It turns out that effects based on the transformation formulas (existing between the coordinates and time in a stationary frame and the coordinates and time in a moving frame) are identical to those expected from the Lorentz transformations. (Auth.)