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Paradoxes could be resolved through the manyworlds interpretation of quantum mechanics from "summary" of Time Travel in Einstein's Universe by J. Richard Gott

In the realm of time travel and paradoxes, the concept of the many-worlds interpretation of quantum mechanics offers a fascinating perspective. According to this interpretation, every quantum event results in the creation of multiple parallel universes, each branching off to accommodate all possible outcomes. This means that whenever a time traveler alters the past, instead of creating a paradox, they simply shift to a different parallel universe where their actions have already taken place. In this way, the consistency of cause and effect is maintained, as the timeline remains intact within each individual universe. For instance, if a time traveler were to go back in time and prevent their grandparents from meeting, this would not erase their own existence. Rather, it would lead to the creation of a new universe where they were never born, while their original universe continues to exist unchanged. This interpretation provides a neat solution to the classic time travel paradoxes, such as the grandfather paradox or the bootstrap paradox. Instead of getting caught in a loop of contradictions, the many-worlds interpretation offers a framework where every action simply leads to the creation of a new branch in the multiverse. By embracing the idea of parallel universes and multiple timelines, we can begin to unravel the mysteries of time travel and reconcile the apparent contradictions that arise. Through this lens, paradoxes become opportunities for exploration and discovery, rather than insurmountable obstacles. The many-worlds interpretation opens up a world of possibilities, where the past, present, and future are all connected in a complex tapestry of parallel realities.
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    Time Travel in Einstein's Universe

    J. Richard Gott

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