Modeling the decoherence of spacetime

Details Modeling the decoherence of spacetime Modeling the decoherence of spacetime

1996-12-11

arxiv.org/abs/gr-qc/9612028v4

Phys.Rev. D57 (1998) 768-797

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

38 pages, REVTeX; 7 diagrams and 6 PostScript figures included via epsfig. Final cosmetic changes made at publication

Scientific paper

10.1103/PhysRevD.57.768

The question of whether unobserved short-wavelength modes of the gravitational field can induce decoherence in the long-wavelength modes (``the decoherence of spacetime'') is addressed using a simplified model of perturbative general relativity, related to the Nordstrom-Einstein-Fokker theory, where the metric is assumed to be conformally flat. For some long-wavelength coarse grainings, the Feynman-Vernon influence phase is found to be effective at suppressing the off-diagonal elements of the decoherence functional. The requirement that the short-wavelength modes be in a sufficiently high-temperature state places limits on the applicability of this perturbative approach.

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