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Cosmogenesis as symmetry transformation | Adam Balcerzak
; Mateusz Lisaj
; | Date: |
1 Sep 2023 | Abstract: | 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. | Source: | arXiv, 2309.00375 | Services: | Forum | Review | PDF | Favorites |
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