Relativity states that time slows down as you approach the speed of light. Given that fact, lets say I hop in a spaceship and zip around the earth at near light speed for several years (Yes, I know there are problems with this in terms of increased mass, energy needed, etc.) Ok, so after several years I slow down and land. For me, it seems as if I've traveled into the future becasue the people on earth have experienced more time than I have.
How is that not time travel, at least in a functional sense? I get that by strict definition it may not be, but the result would be the same. It seems like in this sense time travel is not only possible but proven.