标题： 量子混合宇宙能否经历自发的暴胀阶段？ 显示英文标题

标题： Can a quantum mixmaster universe undergo a spontaneous inflationary phase?

摘要： 我们研究了混合宇宙的半经典模型。 我们首先推导出量子模型，然后引入其半经典近似。 我们采用一种一般的积分量化方法，该方法尊重由仿射群和Weyl-Heisenberg群给出的模型对称性，并可以产生广泛的量子模型类别。 半经典近似基于相干态。 半经典动力学是复杂的，无法通过解析方法求解。 我们关注动力学的一个关键定性特征，即我们研究原始各向异性宇宙是否可以通过各向异性能量与半经典修正的结合而自发地经历一个膨胀阶段。 这个问题的答案为膨胀范式以及替代的反弹模型提供了有用的视角。 显示英文摘要

摘要： We study a semiclassical model of the mixmaster universe. We first derive the quantum model and then introduce its semiclassical approximation. We employ a general integral quantization method that respects the symmetries of the model given by the affine and the Weyl-Heisenberg groups, and can produce a wide class of quantum models. The semiclassical approximation is based on the coherent states. The semiclassical dynamics is complex and cannot be solved by analytical methods. We focus on a key qualitative feature of the dynamics, namely, we investigate whether the primordial anisotropic universe can undergo a spontaneous inflationary phase driven by the anisotropic energy combined with semiclassical corrections. The answer to this question provides a useful perspective on the inflationary paradigm as well as on alternative bouncing models.