Do the laws of physics permit closed timelike curves?

Physics – Optics

Scientific paper

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Cauchy Problem, Quantum Theory, Relativity, Space-Time Functions, Time Marching, Geometrical Optics, Quantum Mechanics, Self Consistent Fields, Wentzel-Kramer-Brillouin Method

Scientific paper

The possibility of creating time machines using closed timelike curves (CTCs) is addressed. The ways that the laws of physics might prevent the creation of such time machines are considered, including the instability of the Cauchy horizon, the enforcement of the averaged null energy condition, and the impossibility of creating wormholes. Finally, the question of whether the Cauchy problem for simple physical systems is well posed in spacetimes with CTCs is addressed.

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