Yes there is already something which travels faster than light. But it only happens at the quantum level. Its called 'action at a distance' and involves the uncertainty principle. The more acurately you measure the momentum or speed of a particle the less you can know of the other particle.
Current theory regarding time travel involves high density substances and super-gravity which bends space.
The numbers in space, as Slartiblartfast would tell you, are horrible.
For there to have been anything before the Big Bang, which of course there must have been, the theorists have to use 'imaginary time'.
Having now plotted the course if the start of the universe by the milli-second, and having measured the forces and masses required, and having now measured the mass of the universe as we know it(to be still expanding at its present rate)there is a slight problem. Nearly 90% of it is missing!
In my humble opinion it is highly unlikely that a species as primitive as Man will ever overcome these hurdles but I too would like to learn more about the subject.
If you want more practical faster-than-light travel you'll have to get into astral projection. As Jonathon Livingston Seagull's mentor says, "Perfect speed is being there!"
Now I need a lie down!