The biggest problem with time travel is that one cannot go to a place that doesn’t exist... like the past... or the future.
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Have you considered that time and space may not exist?
Well, they don't exist separately. Time, itself, does not exist according to Quantum Theory. However there is space-time. But QT is above my head even though I find it fascinating.
No. That would be nonsence and it would be absurb to consider.