Topology, Decoherence, and Semiclassical Gravity

Details Topology, Decoherence, and Semiclassical Gravity Topology, Decoherence, and Semiclassical Gravity

1993-06-11

arxiv.org/abs/gr-qc/9306016v1

Phys.Rev.D47:5414-5421,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, ZU-TH 3/93, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.47.5414

We address the issue of recovering the time-dependent Schr\"{o}dinger equation from quantum gravity in a natural way. To reach this aim it is necessary to understand the nonoccurrence of certain superpositions in quantum gravity. We explore various possible explanations and their relation. These are the delocalisation of interference terms through interaction with irrelevant degrees of freedom (decoherence), gravitational anomalies, and the possibility of $\theta$ states. The discussion is carried out in both the geometrodynamical and connection representation of canonical quantum gravity.

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