https://cosmosmagazine.com/physical-sciences/five-ways-travel-through-time
"This is the easiest and most practical way to get to the far future - go really fast. According to Einstein’s theory of special relativity, when you travel at speeds approaching the speed of light, time slows down for you relative to the outside world."
http://abcnews.go.com/Entertainment/back-future-30th-anniversary-neil-degrasse-tyson-talks/story?id=32191481
Neil deGrasse Tyson: "We have ways of moving into the future. That is to have time tick more slowly for you than others, who you return to later on. We've known that since 1905, Einstein's special theory of relativity, which gives the precise prescription for how time would slow down for you if you are set into motion."
Time doesn't slow down for you if you are set into motion. Special relativity predicts just the opposite: Time SPEEDS UP for you. You will discover this by checking stationary clocks you pass by against your clocks. The comparison will show that the stationary clock you check against two of your clocks is slow while your clocks are FAST:
http://www.amazon.com/Relativity-Its-Roots-Banesh-Hoffmann/dp/0486406768
Banesh Hoffmann, Relativity and Its Roots, p. 105: "In one case your clock is checked against two of mine, while in the other case my clock is checked against two of yours, and this permits us each to find without contradiction that the other's clocks go more slowly than his own."
Actually this is reductio ad absurdum. The only reasonable conclusion is that time dilation does not exist (moving clocks run just as fast as stationary ones) and the underlying premise, Einstein's 1905 constant-speed-of-light postulate, is false.
Pentcho Valev