When the ships went into warp in this movie, they seemed to go in a "hyperspace tunnel" like in Star Wars instead of just stars streaking by like what was first seen in TNG. Do you think this new Trek universe has faster warp travel than the previous one?
Whatever effect was used on the show, I think the concept is the same. There is no way to travel faster than light so essentially Warping and Hyper Space are the same thing. It's bending space/time so that you can jump from one place to another quickly.
Wheather they call it warp speed, hypers pace, or jump drive, it's pretty much the same concept.
I think it was Isaac Asimov who came up with the concept in some of his early science fiction writing, and he probably got the idea from other scientists. But I think Asimov was the first two use the concept in science fiction.