Path Integrals, Density Matrices, and Information Flow with Closed Timelike Curves

Details Path Integrals, Density Matrices, and Information Flow with Closed Timelike Curves Path Integrals, Density Matrices, and Information Flow with Closed Timelike Curves

1993-10-19

arxiv.org/abs/gr-qc/9310027v1

Phys.Rev. D49 (1994) 3981-3989

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, phyzzx, CALT-68-1886

Scientific paper

10.1103/PhysRevD.49.3981

Two formulations of quantum mechanics, inequivalent in the presence of closed timelike curves, are studied in the context of a soluable system. It illustrates how quantum field nonlinearities lead to a breakdown of unitarity, causality, and superposition using a path integral. Deutsch's density matrix approach is causal but typically destroys coherence. For each of these formulations I demonstrate that there are yet further alternatives in prescribing the handling of information flow (inequivalent to previous analyses) that have implications for any system in which unitarity or coherence are not preserved.

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