Wheeler-DeWitt Equation and the Applicability of Crypto-Hermitian Interaction Representation in Quantum Cosmology

In the broader methodical framework of the quantization of gravity, the crypto-Hermitian (or non-Hermitian) version of Dirac’s interaction picture is considered. The formalism is briefly outlined and shown to be well suited for an innovative treatment of certain cosmological models. In particular, i...

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Bibliographic Details
Published in:Universe (Basel) 2022-07, Vol.8 (7), p.385
Main Author: Znojil, Miloslav
Format: Article
Language:English
Subjects:
Astronomical research
Cosmology
Eigenvalues
Gravity
hidden Hermitian formulations of quantum mechanics
Hilbert space
non-stationary Wheeler-DeWitt system
physical Hilbert space metric
quantum gravity and the problem of the Big Bang
Quantum physics
Quantum theory
stationary Wheeler-DeWitt system
Symmetry
Universe
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Summary:In the broader methodical framework of the quantization of gravity, the crypto-Hermitian (or non-Hermitian) version of Dirac’s interaction picture is considered. The formalism is briefly outlined and shown to be well suited for an innovative treatment of certain cosmological models. In particular, it is demonstrated that the Wheeler-DeWitt equation could be a promising candidate for the description of the evolution of the quantized Universe near its initial Big Bang singularity.
ISSN:2218-1997
2218-1997
DOI:10.3390/universe8070385