Travelling forward in time is easy. You just have to travel at a speed approaching a significant fraction of that of light and time dilation kicks in. Time will pass more slowly for you at that speed than for a stationary observer on Earth. There was an experiment with a pair of synchronised atomic clocks that confirmed this… one was flown into orbit and the other remained on Earth. When they were brought back together they were no longer synchronised.
Going back in time is harder but there are solutions of the equations of relativity that allow it. All you have to build is a Tipler Machine (https://en.wikipedia.org/wiki/Tipler_cylinder)!
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