Special: Observational Constraints on Loop Quantum Cosmology with the Cosmic Microwave Background
Loop quantum gravity is a consistent theory of quantum gravity that relies on a background independent quantization of general relativity. I dedicated most of my Ph.D. research to setting observational constraints on Loop Quantum Cosmology (LQC), the effective cosmological model deduced from Loop Quantum Gravity. In LQC the big bang singularity is replaced by a state of maximal energy density, close the the Planck density. This naturally leads to a bouncing cosmological scenario where the background dynamics is dictated by a modified Friedmann equation. Two approaches have been considered for obtaining the equations of propagations of cosmological perturbations in LQC. The deformed algebra approach, where cosmological perturbations do receive quantum corrections and the dressed metric approach, which suggests that cosmological perturbations obey the standard Mukhanov Sasaki equations even in the quantum regime. In this talk, I will compare the predictions of both approaches for the primordial power spectrum of scalar and tensor perturbations and confront them with cosmic microwave background measurements. Finally, I will give an overview of the investigation of primordial non-gaussianity generated during the LQC bounce, the primary focus of my research residency at Louisiana State University in collaboration with Professor Ivan Agullo and Dr. Sreenath Vijaykumar.