论文标题
熵在各向同性宇宙的进化量化中的作用
The Role of Entropy in the Evolutionary Quantization of the Isotropic Universe
论文作者
论文摘要
在本文中，我们分析了宇宙学恒定术语的各向同性封闭宇宙的动力学，并将其在标准的Wheeler-Dewitt方程方法中与kuchar-Brown范式的精神考虑时，将其在标准的Wheeler-Dewitt方程方法中进行了比较。特别是，我们将宇宙从经典禁止的区域与允许的区域的隧道进行比较，这表明考虑到时间演化会深深影响模型的性质。实际上，我们表明，在存在拉格朗日流体的情况下，宇宙学在古典和量子方面都恢复了。但是，在量子状态下，对于某些能量特征值，奇异性在概率上被抑制，在这种情况下，后者等于零，则恢复了标准的WDW情况。最后，我们通过考虑采用聚合物量子机械方法来引入MinisuperSpace中的截止物理特征，主要将我们的注意力限制在半经典动力学上（量子处理受到汉密尔顿操作员的非本地性质的抑制）。我们表明，像无流体模型一样，再次删除了奇异性，并且出现了弹跳的宇宙学，以便当前的模型可以模仿循环宇宙学。
In this paper, we analyze the dynamics of an isotropic closed Universe in the presence of a cosmological constant term and we compare its behavior in the standard Wheeler-DeWitt equation approach with the one when a Lagrangian fluid is considered in the spirit of the Kuchar-Brown paradigm. In particular, we compare the tunnelling of the Universe from the classically forbidden region to the allowed one, showing that considering a time evolution deeply influences the nature of the model. In fact, we show that in the presence of the Lagrangian fluid, the cosmological singularity is restored both in the classical and the quantum regime. However, in the quantum regime the singularity is probabilistically suppressed for some energy eigenvalues and in the case the latter is equal to zero, one recovers the standard WDW case. Finally, we introduce a cut-off physics feature in the Minisuperspace by considering a Polymer quantum mechanical approach, mainly limiting our attention to the semi-classical dynamics (the quantum treatment is inhibited by the non-local nature of the Hamiltonian operator). We show that the singularity is again removed, like in the fluid-free model, and a bouncing cosmology emerges so that the present model could mimic a cyclic cosmology.
