This is true.
However, in many other theories time travel could result in paradoxical situations. These are usually solved by either the collapse of the universe or the avoidance of the situation to begin with.
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yeah the avoidance theory is the one I subscribe to obviously. Of course time travel is probably impossible to begin with.
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There are "loopholes" in the laws of physics regarding wormholes near very high gravity that make it possible.