Wheeler-DeWitt equation and the applicability of crypto-Hermitian interaction representation in quantum cosmology

Abstract

Recently, Wang with Stankiewicz (Phys. Lett. B 800 (2020) 135106) opposed the widespread belief that due to quantization, the Big Bang singularity {\em must} necessarily get smeared and replaced by a non-singular "Big Bounce" process. Their claim is supported in a methodically independent manner in which just a highly schematic model (viz., the discrete and drastically simplified Wheeler-DeWitt equation) is considered. Our comparatively elementary argumentation is constructive, based on the assumption that the evolution of the Universe can fully consistently be described using an innovative, hiddenly Hermitian version of quantum theory formulated in a properly upgraded Dirac's interaction picture.

arXiv comment33 pp., 3 pictures

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• Wheeler-DeWitt equation and the late gravitational collapse: effects of factor ordering and the tunneling scenario
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• Quantum Quintom Cosmology