There would have to be something that allowed for and caused the problem in the first place, assuming anyone other than the inhabitants found it to be a problem. It is almost as if a time machine causes a distortion in time, like a lensing effect in our visual representation that creates the loop.
Or maybe, something else causes the distortion, and time machines inevitably appear inside them. What could cause such a thing would be extra-universal, and therefore beyond all supposition. Interesting, but one of the more pointless hypotheses.
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