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Imagine that we couldn't play a movie backwards, imagine that Feynman diagrams constantly gave us solutions that made no sense when reversed. Then the universe, small and big, would become more magic than it already is, because we still have to define it.
However, the second law of thermodynamics does not explicitly forbid time travel - especially if an action initiated from the future increased entropy both now and in the future.
Can it be proven from the Second Law of Thermodynamics that an observer is unable to influence anything in his past, and unable to observe anything in his future?