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[TheSmyth]

My Theories-

Isn't it more a case of there being several problems with it?

1) You can't completely destroy anything. Only change it into something else. e.g. Ice into water -> water into steam -> water molecules -> someting else. So if you could travel in time, you would be completely removing yourself and whatever you take with you, from the present, effectively destroying it (in the now).
2) If you went back and killed your father, it must have already happened, because if time travel is possible, all possible changes to the time-line must already have taken place before now (otherwise now wouldn't be now)... And your dad must not have been your real dad.
3) You could not use any fuel to travel in time, because energy takes time to process into motion / electricity / whatever, and if you were going faster than the speed of light, you'd already be gone by the time the energy had been processed. This would include your own body (synapses in the brain etc..)
4) If you could travel just faster than the speed of light, then you would be able to see what just happened a moment ago, but if you wanted to see what happened 10 years ago, you'd have to travel many times faster! or keep travelling at just over the speed of light for about 10 years!
5) If 4 was possible, you'd be millions of miles away from where you started.

That is not to say, you couldn't travel at very close to the speed of light.

Feel free to pick out any inaccuracies in my theories.