Time travel paradoxes, path integrals, and the many worlds interpretation of quantum mechanics

@article{Everett2004TimeTP,
  title={Time travel paradoxes, path integrals, and the many worlds interpretation of quantum mechanics},
  author={Allen E. Everett},
  journal={Physical Review D},
  year={2004},
  volume={69},
  pages={124023}
}
We consider two approaches to evading paradoxes in quantum mechanics with closed timelike curves. In a model similar to Politzer's, assuming pure states and using path integrals, we show that the problems of paradoxes and of unitarity violation are related; preserving unitarity avoids paradoxes by modifying the time evolution so that improbable events become certain. Deutsch has argued, using the density matrix, that paradoxes do not occur in the ``many worlds interpretation.'' We find that in… Expand
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