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Third Quantization and Emergence of the Quasiclassical Wave Function of the Universe

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Abstract

Quantized solutions of the Wheeler–DeWitt (WDW) equation describing a closed Friedmann–Robertson–Walker universe with a \(\Lambda \) term and a set of massless scalar fields are studied. It is shown that when \(\Lambda \ll 1\) units and the standard in-vacuum state is considered, the wave function of the universe \(\Psi \) behaves as a random quasiclassical field at rather large a, namely, \(1 \ll a \ll {{e}^{{\frac{2}{{3\Lambda }}}}}\) [1].

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ACKNOWLEDGMENTS

The work was supported by Grant NSh-6595.2016.2 of the President of the Russian Federation for Support of Leading Scientific Schools.

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  1. Astro Space Centre, Lebedev Physical Institute, 117997, Moscow, Russia

    P. Ivanov & S. V. Chernov

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  1. P. Ivanov
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  2. S. V. Chernov
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Correspondence to P. Ivanov.

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Translated by M. Potapov

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Ivanov, P., Chernov, S.V. Third Quantization and Emergence of the Quasiclassical Wave Function of the Universe. Phys. Part. Nuclei 49, 514–519 (2018). https://doi.org/10.1134/S1063779618040299

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