Quantum Mechanics and Closed Timelike Curves

Abstract

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.

arXiv comment8 pages, 1 figure (removed LaTex command)

References in corpus (3)

• Unitarity of Quantum Theory and Closed Time-Like Curves
• Inconsistent Physics in the Presence of Time Machines
• The Loss of Unitarity in the Vicinity of a Time Machine