论文标题
循环量子重力中的弹跳宇宙：完整的理论计算
Bouncing Universe in Loop Quantum Gravity: full theory calculation
论文作者
论文摘要
在循环中，提出了全量子重力的数学严格模型。在本文中，我们研究了一个描述量子重力的模型之一，其正宇宙恒定与无质量标量场耦合。在我们先前的研究中，我们引入了一种将模型减少到量子水平上均相异位部门的方法。在本文中，我们提出了一种限制在空间扁平扇区的方法。在此限制之后，自由度的数量大大减少了。这使我们能够进行数值计算。值得注意的是，所得模型与环路量子宇宙学模型共享一些结构相似性，因此为环路量子重力和环路量子宇宙学之间的关系提供了一些新的启示。根据我们的模型，宇宙的演变是周期性的。量子重力效应解决了大爆炸奇点，导致大弹跳，并导致宇宙在经典的扩张阶段（大键）之后收缩。
In Loop Quantum Gravity mathematically rigorous models of full quantum gravity were proposed. In this paper we study a cosmological sector of one of the models describing quantum gravity with positive cosmological constant coupled to massless scalar field. In our previous research we introduced a method to reduce the model to homogeneous-isotropic sector at the quantum level. In this paper we propose a method to restrict to the spatially flat sector. After this restriction the number of degrees of freedom gets substantially reduced. This allows us to make numerical calculations. Remarkably, the resulting model shares some structural similarities with the Loop Quantum Cosmological models and therefore sheds some new light on the relation between Loop Quantum Gravity and Loop Quantum Cosmology. According to our model the evolution of the Universe is periodic. The quantum gravity effects resolve the Big Bang singularity leading to a Big Bounce and cause the Universe to contract after a classical expansion phase (Big Crunch).
