time slows down as you approach the speed of light in comparison to another frame. Only light can REACH the speed of light. Einstein's theory of relativity showed this using very compelling evidence in his theory, but it was not able to be tested for decades after it was accepted by the science community. Since then, relativistic effects have been observed. The way that they have tested it that I have heard about it was that they flew a high speed plane around the globe with a clock that they had synchronized with a clock on earth (accurate to insanely small units of time). When they landed the plane after hours and hours of high speed flight, the clock was nanoseconds behind the clock they sync'd it to.
Also, there is a kind of particle that is created when photons from the sun reach our atmosphere (I think it might be a lepton, but I am not sure), and this particle only has a life of a few nanoseconds when created in a lab. If Relativity were false, such a particle would never make it even close to the ground from the outer edge of our atmosphere, even if it were traveling twice the speed of light (which, per relativity, is impossible; the point that I am trying to make is that this thing would decay long before it reached the ground). However, since it is traveling at a speed VERY near the speed of light (something on the order of .9 to .95 c), it experiences time at a much different rate than we do, and is able to make it down here where scientists have been able to observe it.