Singularity-free and non-chaotic inhomogeneous Mixmaster in polymer representation for the volume of the universe

Understand

We analyze the semiclassical polymer dynamics of the inhomogeneous Mixmaster model by choosing the cubed scale factor as the discretized configurational variable, while the anisotropies remain pure Einsteinian variables.

• Such a modified theory of gravity should be regarded as the appropriate framework to describe the behavior of quantum mean values, both in polymer quantum mechanics and in Loop Quantum Cosmology.
• We first construct the generalized Kasner solution, including a massless scalar field and a cosmological constant in the dynamics.
• They account for a quasi-isotropization, inflationary-like mechanism.