标题： 宇宙生成作为对称性变换 显示英文标题

标题： Cosmogenesis as symmetry transformation

摘要： 我们考虑量化双标量引力，这可能作为一种局部洛伦兹不变的宇宙学模型，具有变化的光速和变化的引力常数。 对于均匀且各向同性的宇宙设置情况， governing 量子区域的方程是一个类似于狄拉克的方程，它取代了标准的惠勒-德威特方程。 我们表明，特定的宇宙生成可能由于对称性变换的作用而发生，根据维格纳定理，这种变换可以是幺正的或反幺正的。 我们证明，从大爆炸前收缩到大爆炸后膨胀的转变——这一情景也出现在弦论量子宇宙学中——可以归因于电荷共轭的作用，电荷共轭属于反幺正变换类。 我们还证明，两个经典的大爆炸后膨胀宇宙-反宇宙对的出现，每个都具有相反的自旋投影，可以理解为由类似于哈达玛门的幺正变换的作用所触发。 显示英文摘要

摘要： 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.