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

V. A. Savchenko·T. P. Shestakova·G. M. Vereshkov
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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.

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V. A. Savchenko, T. P. Shestakova, G. M. Vereshkov. 2000-11-11. Quantum geometrodynamics in extended phase space - I. Physical problems of interpretation and mathematical problems of gauge invariance. https://arxiv.org/abs/gr-qc/9809086

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