Third quantization for scalar and spinor wave functions of the Universe in an extended minisuperspace
arXiv:2110.06469 · doi:10.1088/1361-6382/ac8095
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.
arXiv comment19 pages, 2 figures. revised version 2
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- A New Guest in the Third Quantized Multiverse
- Fermionic quantum cosmology as a framework for resolving type IV singularities
- Cosmogenesis as symmetry transformation