Time travel could not exist, I have proof.

Easy. Because it doesn't. I could be an ass and leave it there, but I won't.

You see, logically, if time travel is ever to exist, it has to exist at all times and in all places, simutaneously. For example: In 2101 AD, war was beginning time travel is invented by Doctor F. Swineburne, or "Swinny." Swinny has always been obsessed with the 1960s, due to a predilection for lousy beach films. So he travels to 1960. Several times. Guess what, folks, time travel now exists in 1960, if only in a very limited scope. However, eventually, Swinny's research notes are stolen/sold for liquor/shared with the world. And others develop time travel. And others, also stuck on Annette Funicello, head for the 60s. Well, the extent to which time travel exists in 1960, has been broadened. And so on, and so on. People would travel to other times, as well. Past, future, it's all wide open. And while people who exist in 2101 would see it as a gradual broadening of time travel accessibility, we would see it as instantaneous. Because everybody who hit up 2009, to play some old-school zombie MMOs, would exist for us at the same time. Regardless if they came from 2101, 2099, 5872, or 1352 (to play some new-school zombie MMOs.) So the moment time travel was invented, it would exist everywhere, everywhen. And it doesn't, so it never will. Which sucks, because time travel is awesome. I guess we'll just have to wait for the flying cars.