Time travel into the future is possible. It's called time dilatation. In fact, at the limit, we could even say that everytime you walk somewhere, you are travelling into the future, but at such an insignificant way that it doesnt have any impact on anyone. If you travel near the speed of light, time around you passes way more quickly. If you were to travel near light speed in a space shuttle for some time and came back to earth, most of your friends and family would probably be long gone while you would have barely aged.
I've had this same discussion in another board. It was pretty interesing. I'm not going into dept cause it would take forever, but just to make it quick, it seems that travels into time backward is possible (wormhole theory) but it would require something that moves near the speed of light and a source of energy as immense as a nova. The weird thing is that while science seems to allow backward time travel, for logical reasons, it just seems impossible (grandfather paradox).
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