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

Details 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 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

2004-03-13

arxiv.org/abs/gr-qc/0403056v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, LATEX 2e

Scientific paper

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.

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