What work has been done with the causality/probability of ontological loops? For example, if I have two boxes, one with a million dollars in it, and I'm given the option to open one of them and then go back to change what I did (with various probabilities for choice of box, success of time travel, and so on), is there existing literature telling me how likely I am to walk out with a million dollars?
Obviously the answer will change depending on which version of time travel you use (invariant, universe switching, totally variant, etc.)
A good place to start for this might be Scott Aaronson's lecture on Time Travel from his "Quantum Computing Since Democritus" course.
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