论文标题
来自空间离散的k =+1各向同性宇宙学的有效LQC模型
Effective LQC model for k=+1 isotropic cosmologies from spatial discretisations
论文作者
论文摘要
由于离散的基础空间结构，封闭的，空间各向同性的FLRW宇宙（K =+1）被赋予了修改。从循环量子重力技术中进行动机，进行了完整的Thiemann正则化。标量约束中出现的单颗片部门的这些修饰的影响解释为物理量子重力效应。我们研究了修改的标量约束的形式及其对k =+1个空间的分析近似值，并将这种有效约束作为减少各向同性相空间的动力学发生器。它的发展是，该系统仍然具有经典的回忆，并且只有边际离散性校正。此外，最初和最终的奇点已经解决，我们提出了一个有效的模型，反映了系统的定性特征。
The closed, spatially isotropic FLRW universe (k=+1) is endowed with modifications due to a discrete underlying space-structure. Motivated from Loop Quantum Gravity techniques, a full Thiemann regularisation is performed. The impact of these modifications of the single-graph-sector appearing in the scalar constraint are interpreted as physical quantum gravity effects. We investigate the form of the modified scalar constraint and its analytical approximations for k=+1 spacetimes and assume this effective constraint as the generator of dynamics on the reduced isotropic phase space. It transpires that the system still features a classical recollapse with only marginal discreteness corrections. Moreover, the initial and final singularities are resolved and we present an effective model mirroring the qualitative features of system.
