NASA's working on warp drive, and they believe they're onto something. The space warp loophole in general relativity will allow them, they believe, to exceed the speed of light by multiple factors.
What would it be like to travel at warp speed?
You would have an initial velocity as you set off, and then when you turn on the ring of negative vacuum energy it augments your velocity. Space would contract in front of the spacecraft and expand behind it, sending you sliding through warped space-time and covering the distance at a much quicker rate. It would be like watching a film in fast forward.
They're shooting for ten times lightspeed. Initial plans call for generating a warp bubble in a lab setting.
Remember Dick Tracey's two-way wrist tv? The smallish Star Trek communicators? They're already here. Warp drive may be the next big thing. Imagine setting out in a starship and intercepting Voyager, which just passed out of our solar system last year after being launched in 1977.