Kinda. If v is greater than c, you get imaginary numbers for your energy, which so far as I know makes no physical sense at all (nor is it necessarily possible).Academia Nut wrote:And us, the energy requirements for velocity do have an asymptote around c, which is to say that the requirements go to infinity on both sides of c while being finite everywhere else.
And as I understand it, discarding GR for a second, the fact that nothing can hit c comes directly from Einstein's postulates and the Lorentz transformation. If these are accepted, it's not that hard to show how you must modify your kinetic energy and momentum expressions to account for objects moving at high speeds; these give you results approaching infinity for any particle with mass (massless particles, like photons, must travel at c according to these same relations).