Every single oscillating particle needs to travel more absolute distance when speed increases, so it will oscillate with lower frequency for the external observer, thus causing time dilation.
The Earth is not the center of the universe. Similarly, time-travel seems to be an idea still stuck in the Newtonian idea of absolute time. As SR demonstrated: There is no such thing.
“Einstein said, ‘Time has no independent existence apart from the order of events by which we measure it,’”
In special theory of relativity time is local, so objects interact only with immediate moment - present, and not with past and future. You need to first somehow overcome locality to postulate global time, which you would be hard pressed to do.
