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Originally Posted by Mutt
So if this one day is feasible does that mean humans could time travel into the future and view their descendants? And time travel into the past? Or it just means we could travel to distant planets faster than the speed of light?
So the people in this warp drive craft would get to their destination in perhaps hours/days but here on earth all the people they knew would have been dead for hundreds/thousands of years. 
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No, that's not it. This is basically faster than light travel, but without the time effects that Einstein talked about.
Normally travelling near the speed of light slows time down for the traveller, but by compression space instead, time inside the space ship remains unaffected. So say, 2 weeks of travel time for the space ship would equal 2 weeks of time on earth too. No time travel, no paradoxes, no traveller aging slower than his earth-bound brother, etc.