Quantum Mechanics and Closed Timelike Curves
Moldoveanu (Florin)
Source: Quantum Biosystems, 1(1) 66-73
Paper - Abstract

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Author’s Abstract

  1. General relativity allows solutions exhibiting closed timelike curves.
  2. Time travel1 generates paradoxes and quantum mechanics generalizations were proposed to solve those paradoxes.
  3. The implications of self-consistent interactions on acausal region of space-time are investigated.
  4. If the correspondence principle is true, then all generalizations of quantum mechanics on acausal manifolds are not renormalizable.
  5. Therefore quantum mechanics can only be defined on global hyperbolic manifolds and all general relativity solutions exhibiting time travel2 are unphysical.

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