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JaredJames said:Is there any reference frame that would permit that?
You could just define any arbitrary set of coordinates; that's why you have past and future light cones around such chosen points. It's purely on paper of course, this isn't something that changes life as we know it, just the process of specifying 4 numbers to designate "you are here" and then everything before and after it.
If you mean a reference frame that would permit travel into the past, I believe that involves a universe unlike the one we live in. You can certainly construct one on paper however, in which events repeat a given number of times in CTCs.