I have a character. He is the master of a particularly specific martial art that is pretty much only movement. But it's pretty powerful, in that he can separately: a) move in a manner that is FTL b) move from shadow to shadow instantly c) move very quickly in a non-relativity violating manner d) etc. b-d (potentially) boring, so my question involves a.
In my mind, the character isn't moving faster than light, he is moving "faster than light". Using the magic of television editing (or something) he basically is joining two points in space and stepping between the two points. Hence, he travels faster than light in space without physically traveling faster than light. I was thinking that he somehow uses a powerful, localized gravity well explained away by the handwavium of reference frames, a concept I am no doubt misunderstanding.
Could a gravity well be generated in such a way that could cause space-time to bend in such a fashion that a short (10-15ft) length of space would be able to be traversed in a single step (say 1ft)? Also, what possible handwaving would I have to explain away besides "everything in that 15ft space would be crushed" and "massive energy requirements"?