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arXiv · 2207.08508

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

Miloslav Znojil
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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.

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Miloslav Znojil. 2022-07-18. Wheeler-DeWitt equation and the applicability of crypto-Hermitian interaction representation in quantum cosmology. https://doi.org/10.3390/universe8070385

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