Is the world periodic

All variable used are positive.
Suppose the state of universe in one instant of time x is f(x).
Is it possible to find a t where f(x+t) = f(x) for all x?
I had this question in my mind today. because if that is true, then travel back in time can be just traveling to future.

But second law of thermodynamics says it's not possible.

Humm... but that law also means we are all going to be converted into entropy... and our existence would be really... eventually... meaningless.


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