Quantum Mechanics and Closed Timelike Curves

Details Quantum Mechanics and Closed Timelike Curves Quantum Mechanics and Closed Timelike Curves

2007-04-23

arxiv.org/abs/0704.3074v1

Quant. Biosys. 1, 66 (2007)

Physics

General Physics

8 pages, 1 figure (removed LaTex command)

Scientific paper

General relativity allows solutions exhibiting closed timelike curves. Time travel generates paradoxes and quantum mechanics generalizations were proposed to solve those paradoxes. The implications of self-consistent interactions on acausal region of space-time are investigated. If the correspondence principle is true, then all generalizations of quantum mechanics on acausal manifolds are not renormalizable. Therefore quantum mechanics can only be defined on global hyperbolic manifolds and all general relativity solutions exhibiting time travel are unphysical.

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