Third quantization for scalar and spinor wave functions of the Universe in an extended minisuperspace
General Relativity and Quantum Cosmology
2022-08-23 v5
Abstract
We consider the third quantization in quantum cosmology of a minisuperspace extended by the Eisenhart-Duval lift. We study the third quantization based on both Klein-Gordon type and Dirac-type equations in the extended minisuperspace. Spontaneous creation of "universes" is investigated upon the quantization of a simple model. We find that the quantization of the Dirac-type wave function reveals that the number density of universes is expressed by the Fermi-Dirac distribution. We also calculate the entanglement entropy of the multi-universe system.
Keywords
Cite
@article{arxiv.2110.06469,
title = {Third quantization for scalar and spinor wave functions of the Universe in an extended minisuperspace},
author = {Nahomi Kan and Takuma Aoyama and Taiga Hasegawa and Kiyoshi Shiraishi},
journal= {arXiv preprint arXiv:2110.06469},
year = {2022}
}
Comments
19 pages, 2 figures. revised version 2