Preferred Basis, Decoherence and the Quantum State of the Universe
Abstract
We review a number of issues in foundations of quantum theory and quantum cosmology including, in particular, the problem of the preferred basis in the many-worlds interpretation of quantum mechanics, the relation between this interpretation and the decoherence phenomenon, application of decoherence approach to quantum cosmology, the relation between the many-worlds interpretation and Anthropic Principle along with the notion of quantum-classical duality. We also discuss the concept of fundamentally mixed quantum state of the Universe represented by a special microcanonical density matrix and its dynamical realization in the form of the semiclassically treated path integral over spacetime geometries and quantum matter fields. These issues can be considered as a part of the scientific legacy of Zeh generously left to us in his two seminal papers published at the beginning of the seventies in Foundations of Physics.
- Publication:
-
From Quantum to Classical; Essays in Honour of H.-Dieter Zeh
- Pub Date:
- 2022
- DOI:
- 10.1007/978-3-030-88781-0_6
- arXiv:
- arXiv:2006.16812
- Bibcode:
- 2022fqce.book...97B
- Keywords:
-
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory;
- Quantum Physics
- E-Print:
- 25 pages, 3 figures, prepared for the publication in the Springer series "Fundamental Theories of Physics", in the volume, dedicated to the memory of H. D. Zeh. arXiv admin note: text overlap with arXiv:1302.5545