Probably with a gigabit in bandwidth, it's possible that OnLive could use some kind of predictive modeling based on what you're currently doing and what you've done in the past to see what actions in the future are likely. It could then run (in parallel) all the likely actions and send them down simultaneously (example: simultaneously send what would be displayed if you panned right, left, up and down one or more frames before the user has given input and the client caches these frames and renders the one that the user ends up doing).

Sure it would be a "waste" of compute power and network, but that's certainly one way to, in a sense, "push data across distances faster than the speed of light". That's exactly the kind of approach which would be unimaginable in a scenario where you have to worry about compressing media in order to get a single stream across in a timely manner (read: now), but might actually fall within the realm of possibility when gigabit bandwidth is ubiquitous.