I surely do. It's a fact. Not a theory. Does time pass for every breath you take? Watch the clock and you tell me it doesn't. If time travel didn't exist, you wouldn't be here.
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Yes I do, if you refer to the string theory, time is the 4th dimension. We are living in it, we cannot see it. If we were living in the 5th dimension, we could see time as well as the 3 dimension we can see in ours. The only way we can see back in time for now is with powerful telescopes aiming toward space. But yeah, in overall it is a possibility. The only way is we had to travel faster than the speed of light if I'm not mistaken. But beating Einstein theory of relativity is the real challenge since nothing can go faster than the speed of light.
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Into the future? Yes ... look up "GPS satellites time travel". It's not only real, but nothing special. Gravity has an affect on space-time and therefore the passage of time between one object with mass and another object with mass. Relativity. The more mass an object has, the slower time passes for it in comparison with an object of less mass. Time passes slower for GPS satellites than on earth because the effect of earth's gravity is less for them.
Into the past? No that's fiction.
Into the past? No that's fiction.
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There may be some civilization older than ours that has a time machine built or there may be some natural quantum entangled wormholes that have been relativistically separated in time which could be widened with negative energy for time travel at least for messages and we're all traveling at slightly different rates through time depending on our velocity and on the gravity well we are in. But there doesn't seem to be anything available for us to travel at a rate other than that of our normal existence or close to it. For the time being, the only time travellers we have are those who have flown on the space shuttles, on the space stations or have spent a lot of time flying on planes and then they've only traveled a few microseconds ahead of the rest of us.