Quantum geometrodynamics in extended phase space - I. Physical problems of interpretation and mathematical problems of gauge invariance

1998/09/30 by V. A. Savchenko, T. P. Shestakova, G. M. Vereshkov
Physics and Astronomy · #gr-qc

paper · pdf

published as Grav.Cosmol. 7 (2001) 18-28 · LaTeX, 14 pages. A revised version: the comparison with the BFV approach is given in details

arxiv created 2000/11/11 · arxiv updated 2009/11/30

Abstract

The paper is the first of two parts of the work devoted to the investigation of constructing quantum theory of a closed universe as a system without asynptotic states. In Part I the role of asymptotic states in quantum theory of gravity is discussed, that enables us to argue that mathematically correct quantum geometrodynamics of a closed universe has to be gauge-noninvariant. It is shown that a gauge-noninvariant quantum geometrodynamics is consistent with the Copenhagen interpretation. The proposed version of the theory is thought of as describing the integrated system ``the physical object + observation means''. It is also demonstrated that introducing the observer into the theory causes the appearance of time in it.

Related

• Quantum geometrodynamics in extended phase space - II. The Bianchi IX model
• Quantum geometrodynamical description of the Universe in different reference frames
• Could gauge gravitational degrees of freedom play the role of environment in "extended phase space" version of quantum geometrodynamics?
• The problem of time and gauge invariance in the quantization of cosmological models. II. Recent developments in the path integral approach
• A Gravitational Theory of the Quantum