[Blackmane]

Well, as long as Einsteins equations are true, then travelling at high speeds will never result is us going back in time. We would have to go faster than the speed of light to go backwards in time.

The best ideas I have heard for going back in time is going through a wormhole, because they are gaps in spacetime that could plop you back out into an earlier time. However, you then run into the problem of being crushed by the gravity of that wormhole and burned to a crisp by extremely blueshifted gamma rays and the fact that a wormhole collapses with the very sensitive transfer of matter.