Speaker
Description
Ambiguities of the so-called Thiemann regularization in Loop Quantum Cosmology lead to freedom in how to construct a particular quantization prescription, which in turn may significantly affect the mathematical structure of the quantum model and its dynamical predictions. Out of several prescriptions presented in the literature I will focus on one showing somewhat counterintuitive properties, often referred as mLQC-II. Its mathematical structure will be discussed in detail. It will be further used as an example for testing a variant of a semiclassical treatment that allows to analytically probe the dynamics of LQC systems with high order quantum corrections and with good control of the approximations for a wide variety of LQC/geometrodynamics models. This method will be in particular used to find (in the approximation of macroscopic universe) the quantum trajectory of the volume as analytic function of the internal clock and the so called central moments of the constants of motion.
