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arXiv · 2303.13302

Spinor wave function of the Universe in non-minimally coupled varying constants cosmologies

Adam Balcerzak·Mateusz Lisaj
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Abstract

In this paper, we introduce a non-minimally coupled varying speed of light and varying gravitational constant cosmological toy model. Using the Eisenhart-Duval lifting method, we extend the original minisuperspace of the model and depict the evolution of the system in the presence of the potential term as a geometrical flow associated with the lifted metric. We write the Dirac-Wheeler-DeWitt equation, which solution is a spinor wave function of the Universe. Then we find the solution of the Dirac-Wheeler-DeWitt equation, which describes the emergence of two early universe-antiuniverse pairs that differ with the conserved quantity, which is an analog of the spin.

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Adam Balcerzak, Mateusz Lisaj. 2023-03-23. Spinor wave function of the Universe in non-minimally coupled varying constants cosmologies. https://doi.org/10.1140/epjc/s10052-023-11577-w

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