Essentially this has to do with a law of physics - nothing can go faster than the speed of light. With this, it is assumed that nature has a few safeguards for this.
Imagine you have a train that is traveling at almost the speed of light. Very close to it. If you were inside that train, and were to run inside it, you would theoretically be running faster than the speed of light. (The train's speed + your running speed would surpass the speed of light) However, because nothing can travel faster than the speed of light, 'nature' stops you from doing so by slowing down time for you. Therefore, you would be going so slow you would not be able to reach the speed of light.
Since time is being slowed down for you, everything around you is 'speeding up'. 5 minutes of your time could be 1 hour 'outside'.
And thus the idea of easily traveling into the future is born - you just need something really, really fast.
This isn't really 'time travel' though - this is more along the concept of keeping yourself in a time capsule; preserving your state and letting time flow around you.