The Steep Price of No Hair in Thiemann Regularized Loop Quantum Cosmology
The Steep Price of No Hair in Thiemann Regularized Loop Quantum Cosmology
Meysam Motaharfar, Parampreet Singh
AbstractLoop quantum cosmology based on Thiemann's regularization procedure leads to the resolution of the big bang singularity and bounce in the isotropic setting. A key distinction from standard loop quantum cosmology is that, in this framework, either the pre-bounce or post-bounce epoch is necessarily characterized by an emergent Planckian de Sitter phase. In this work we explore the Planckian physics of Thiemann regularized loop quantization of the Bianchi-I spacetimes. We show that as in the isotropic model, there exists an emergent de Sitter phase which naturally dampens anisotropic shear and removes cosmic hair. However, this isotropization comes at a steep price: although a macroscopic post-bounce regime is achieved, the universe never becomes truly classical. We further demonstrate that this isotropization mechanism is non-generic. These results help clarify and reinterpret recent results by Gan et al. [1] that, in anisotropic Thiemann regularized loop quantum cosmology, quantum gravity effects generically damp anisotropic shear in a way that is independent of initial conditions and the matter content, and that this anisotropic shear damping mechanism arises from a novel quantum gravity effect. Our work explains the origin of this mechanism and its limitations.