Another problem is an apparent violation of the second law of thermodynamics, which states that systems always flow from a state of order to a state of disorder.
An object or information trapped within a time loop would continue to age and eventually disintegrate.
The movie “Somewhere in Time”provides an example of a bootstrap paradox involving an object, in this case a pocket watch.
An inconsistency that arises is how the pocket watch survives countless time cycles while remaining unaffected by time.
One solution may be to assume that entropy is somehow reversed by time travel
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