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When considering the theoretical feasibility of time travel you must take into account what it means to travel into the future(I don't think its possible to travel into the past, even theoretically). In the simplest terms time travel means jumping from one point in time to another instantaneously(from the travelers perspective). As this for deffinition of time travel, it is not only theoretically possible but feasible as well.

To travel into the future is not all that hard, you simple have to find a way to preserve your body and mind while suspending thought so you are not aware of the passage of time. One way to acheive this would be to freeze yourself for a period of time then thawing yourself. I realize that this is not true time travel, but to the person who froze himself he just went to sleep then woke up in the futre, not having exerienced the passing of time while the cold preserved his body. The problem is that we can't unfreeze you yet, so its still theoretical. Its also theoretically possible to travel into the future by traveling close to the speed of light. Einstein told us that when an object is traveling close to or at the speed of light time begins to dilate, causing the object to experience less time relative to everthing else. This means if you were on a ship traverling close to the speed of light for a year, depending on how close you are to the speed of light, everyone else would experience decades of even centuries. We just dont have a way to go that fast, but it is "theoretically" possible.

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