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Quantum entanglement might play a role in time travel from "summary" of Time Travel in Einstein's Universe by J. Richard Gott

Quantum entanglement is a bizarre phenomenon in the realm of quantum mechanics where two particles become connected in such a way that the state of one particle is directly related to the state of the other, no matter the distance between them. This means that the properties of one particle instantly affect the properties of the other, even if they are light-years apart. This instantaneous connection seems to defy our everyday understanding of reality, but experimental evidence has shown that it is a very real and quantifiable effect. One intriguing implication of quantum entanglement is its potential role in time travel. Some scientists have theorized that by exploiting the phenomenon of quantum entanglement, it might be possible to manipulate particles in such a way that they could be used to create closed timelike curves - paths through spacetime ...
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    Time Travel in Einstein's Universe

    J. Richard Gott

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