General Relativity and Quantum Jumps: The Existence of Nondiffeomorphic   Solutions to the Cauchy Problem in Nonempty Spacetime and Quantum Jumps as a   Provider of a Canonical Spacetime Structure
  It is shown that in spite of a generally accepted concept, there exist nondiffeomorphic solutions to the Cauchy problem in nonempty spacetime, which implies the necessity for canonical complementary conditions. It is nonlocal quantum jumps that provide a canonical global structure of spacetime manifold and, by the same token, the canonical complementary conditions. 
Vladimir S. Mashkevich