Constraints on operator ordering from third quantization

Journal Article · Mon Feb 15 00:00:00 EST 2016 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2015.11.009· OSTI ID:22560294

Ohkuwa, Yoshiaki ^[1]; Faizal, Mir ^[2]; Ezawa, Yasuo ^[3]

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1. Division of Mathematical Science, Department of Social Medicine, Faculty of Medicine, University of Miyazaki, Kihara 5200, Kiyotake-cho, Miyazaki, 889-1692 (Japan)
2. Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1 (Canada)
3. Department of Physics, Ehime University, 2-5 Bunkyo-cho, Matsuyama, 790-8577 (Japan)

In this paper, we analyse the Wheeler–DeWitt equation in the third quantized formalism. We will demonstrate that for certain operator ordering, the early stages of the universe are dominated by quantum fluctuations, and the universe becomes classical at later stages during the cosmic expansion. This is physically expected, if the universe is formed from quantum fluctuations in the third quantized formalism. So, we will argue that this physical requirement can be used to constrain the form of the operator ordering chosen. We will explicitly demonstrate this to be the case for two different cosmological models.

• OSTI ID: 22560294
• Journal Information: Annals of Physics, Vol. 365, Issue Complete; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
COSMOLOGICAL MODELS
COSMOLOGY
EQUATIONS
EXPANSION
FIELD OPERATORS
FLUCTUATIONS
LIMITING VALUES
QUANTIZATION
UNIVERSE