https://doi.org/10.1140/epjc/s10052-023-12045-1
Regular Article - Theoretical Physics
Cosmogenesis as symmetry transformation
1
Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451, Szczecin, Poland
2
Copernicus Center for Interdisciplinary Studies, Szczepańska 1/5, 31-011, Kraków, Poland
3
Institute of Mathematics, Physics and Chemistry, Maritime University of Szczecin, Wały Chrobrego 1-2, 70-500, Szczecin, Poland
Received:
7
September
2023
Accepted:
14
September
2023
Published online:
28
September
2023
We consider the quantized bi-scalar gravity, which may serve as a locally Lorentz invariant cosmological model with varying speed of light and varying gravitational constant. The equation governing the quantum regime for the case of homogeneous and isotropic cosmological setup is a Dirac-like equation which replaces the standard Wheeler–DeWitt equation. We show that particular cosmogenesis may occur as a result of the action of the symmetry transformation which due to Wigner’s theorem can either be unitary or antiunitary. We demonstrate that the transition from the pre-big-bang contraction to the post-big-bang expansion – a scenario that also occurs in string quantum cosmologies – can be attributed to the action of charge conjugation, which belongs to the class of antiunitary transformations. We also demonstrate that the emergence of the two classical expanding post-big-bang universe–antiuniverse pairs, each with opposite spin projections, can be understood as being triggered by the action of a unitary transformation resembling the Hadamard gate.
© The Author(s) 2023
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