I'm new to the forums, but as a theoretical physics major I thought I would try to shed some light on the principles involved in "Warp Drive."
First, you have to let go of any attempt to equate warp with speed in the traditional sense. Sure, you can measure an amount of time it takes to go from one place to another, but you can't use that speed to determine relativistic effects on the ship, as it's not actually moving that fast.
Confused yet?
Ok, if the ship isn't actually moving that fast, how does it travel the distance in such a short period of time? This is where "warp" comes into play. The warp bubble of a ship would, theoretically, compress space in front of the ship, and expand space behind it, literally reducing the distance... not increasing the speed.
I suppose I could explain in more detail, but that would likely bore the crap out of everyone.. I hope the information given makes sense. I can expand on it later if anyone is interested. (there have been some actual experiments done with this theory, but nothing conclusive so far).