Time travel IS possible, there is no doubt about it, even Einstein's Theory of General Relativity and Special Relativity support it, or at least allows it. The point is that, the time travel portrayed in sci-fi and in general media is, well, wrong. It is wrong in the sense that, the instantaneous travel to the past or to the future, hundred years back or forwards is impossible in this timeline and time... for now. Okay, how does time travel got anything to do with time dilation(difference in observed time that has passed between two observers)? Well, there are currently two ways to travel in time, for real!
- Gravitational Time Dilation, as the name suggests, gravity causes time to slow down relative to that other observer in weaker gravitational field. This is from the general theory of relativity. So, if you see something falling into a black hole you would see the falling object to slow down and after a while, it would stop completely(and turn red). This is due to the extreme gravity of a black hole. What this meas regarding to time travel is that, being in a strong gravitational well makes your clock go slower to that in weak gravity. This has been proven by tests, where two atomic clocks(exactly in same time)and the other was put in a plane and flew around the Earth, the other stayed on the surface of Earth. The outcome of this test was that the clock flown around the Earth, was in fact going little faster. The test was called Hefel-Keating Experiment.
- Relative Velocity Dilation, time dilation caused by extreme velocity. the paradigm says that the faster you go the more slowly time goes for you... travel the speed of light for 20 years and you have aged 20 years but everybody else here on Earth have aged about 50 years. Tough, the speed of light is nearly impossible to archieve. This has been tested, in fact, the same thes above proves this one to be correct. Also, ever heard of GPS... well then, that is a constant experiment to test this theory.
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