In the world, time travel is not only feasible, we participate in it every waking second. Time travel can be snobbishly defined as time passing. In other words, it being 12:00, and then 12:01 shows that time travel has occurred. However, this definition isn't a fun one. We like to conceptualize time travel as the rapid change forward in time, or any change backward in time. Further research has helped prove that this is possible however, and it comes down to Einstein.
Time is relative. The human consciousness is a great time machine. This is because we perceive time as it happens to us as an individual, not as a universe. It all comes down to Einstein's Theory of Relativity.
His theory, the well known E=mc^2 relies on the constant of the velocity of light. However, classical physics states that there is no such thing as a constant Velocity. To solve this conundrum, Einstein derived the theory of relativity, which states that time is also relative to the observer. As a mass approaches the speed of light, time seems to progress significantly slower than it truly does.
Also, the speed of light is impassable, as it would take an infinite amount of energy to get an object to move at such a velocity. In the Large Hadron Collider, as scientists try to get a particle to accelerate faster and faster, the object gains exponentially more mass than speed. This suggests that the speed of light is the upper limit, as an object will continually gain relatively more mass than speed, never reaching the speed of light.
Here's a video explaining time dialation: watch from 7:00 to end
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