Cosmogenesis as symmetry transformation

TL;DR

This paper explores how symmetry transformations, including charge conjugation and Hadamard-like operations, can explain cosmogenesis and the emergence of universe-antiuniverse pairs in a quantized bi-scalar gravity model.

Contribution

It introduces a Dirac-like quantum cosmological equation and links symmetry transformations to key cosmological phenomena like the big bang transition and universe pairs.

Findings

Charge conjugation can trigger the transition from contraction to expansion.

Unitary transformations can explain the emergence of universe-antiuniverse pairs.

The model provides a symmetry-based framework for cosmogenesis phenomena.

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.