Why be so concerned about a topic we cannot possibly understand, being so limited? Reality has a minimum of 9 spacial dimensions and at least 2 dimensions of time, which can be transversed in either direction. Our universe is but a small piece of reality. We cannot imagine 9 dimensions because we are three dimensional creatures. And we cannot imagine a different structure for time where deductive reasoning does not apply. (The if - then type statements make no sense unless we have just a single time line that moves only in one direction.) So I don't get concerned about this question, which has puzzled people a long time. It is likely just two aspects of a greater reality that we cannot comprehend.
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