Speaker
Description
Understanding the fundamental factors which shape the quantum structure of spacetime in loop quantized Bianchi-IX spacetimes offers valuable insights into the generic resolution of singularities and discerning the significance of anisotropies in the Planck regime. Conversely, it has been argued that ekpyrosis could mitigate the effects of anisotropies. Further, recent investigations into the physics of loop quantized Bianchi-I models have unveiled certain novel relationships between energy density and the anisotropic shear at the bounce. An important question arises regarding the modification of these findings in the Bianchi-IX framework, where the role of spatial curvature holds pivotal significance. To address this, we conduct extensive numerical simulations of the effective Hamiltonian dynamics governing Bianchi-IX spacetimes in Loop Quantum Cosmology (LQC), where quantum geometric effects universally bound the anisotropic shear and energy density at the bounce. We explore two distinct ekpyrotic potentials and their physical implications for singularity resolution. Furthermore, we explore the interplay between the energy density and the anisotropic shear at the bounce across various potentials to assess the robustness of results in the context of Bianchi-I spacetimes. Our results provide interesting insights on the genericness of results found in Bianchi-I LQC and the role of ekpyrosis.