Unitarity Restoration in the Presence of Closed Timelike Curves

Details Unitarity Restoration in the Presence of Closed Timelike Curves Unitarity Restoration in the Presence of Closed Timelike Curves

1994-05-25

arxiv.org/abs/gr-qc/9405058v2

Phys.Rev.D51:5707-5715,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 17pp, Revisions: Title change, expanded and clarified presentation of original proposal, esp. with regard to Heisenberg

Scientific paper

10.1103/PhysRevD.51.5707

A proposal is made for a mathematically unambiguous treatment of evolution in the presence of closed timelike curves. In constrast to other proposals for handling the naively nonunitary evolution that is often present in such situations, this proposal is causal, linear in the initial density matrix and preserves probability. It provides a physically reasonable interpretation of invertible nonunitary evolution by redefining the final Hilbert space so that the evolution is unitary or equivalently by removing the nonunitary part of the evolution operator using a polar decomposition.

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