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I'm am glad to see that some people know the foundations of relativity. Time dialation effects is related to the Lorenz contraction (there is some "fun" math involving Pythagorean's Theorem to prove it... don't try though) where the relative time to a traveler dialates like this
[Time to you going fast] = [Time to everyone else]*[speed of light] / sqrt ( [speed of light]^2 - [velocity you're moving]^2 )
So this can tell you how fast you need to go if you want a nice jaunt to make you "younger" to everyone else.
Now if you want to travel back in time, my theory is to use the wonderful properties of Advanced Wave Propagation. And if you like the sound of that I am posting something later when I am not on school time and money.
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