The Observational Implications of Loop Quantum Cosmology

Abstract

In this paper we consider realistic model of inflation embedded in the framework of loop quantum cosmology. Phase of inflation is preceded here by the phase of a quantum bounce. We show how parameters of inflation depend on the initial conditions established in the contracting, pre-bounce phase. Our investigations indicate that phase of the bounce easily sets proper initial conditions for the inflation. Subsequently we study observational effects that might arise due to the quantum gravitational modifications. We perform preliminary observational constraints for the Barbero-Immirzi parameter $\gamma$, critical density ${\rho }_{\text{c}}$ and parameter $\lambda$. In the next step we study effects on power spectrum of perturbations. We calculate spectrum of perturbations from the bounce and from the joined bounce+inflation phase. Based on these studies we indicate possible way to relate quantum cosmological models with the astronomical observations. Using the Sachs-Wolfe approximation we calculate spectrum of the super-horizontal CMB anisotropies. We show that quantum cosmological effects can, in the natural way, explain suppression of the low CMB multipoles. We show that fine-tuning is not required here and model is consistent with observations. We also analyse other possible probes of the quantum cosmologies and discuss perspectives of their implementation.

11 pages, 7 figures

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• Loop quantum gravity: the first twenty five years
• On the measure problem in slow roll inflation and loop quantum cosmology
• Some implications of signature-change in cosmological models of loop quantum gravity
• Universal features of quantum bounce in loop quantum cosmology
• Observing the Big Bounce with Tensor Modes in the Cosmic Microwave Background: Phenomenology and Fundamental LQC Parameters
• Primordial scalar power spectrum from the hybrid approach in loop cosmologies
• Pre-inflationary dynamics in loop quantum cosmology: Power-law potentials
• Primordial non-Gaussianity and power asymmetry with quantum gravitational effects in loop quantum cosmology
• Inflation in Loop Quantum Cosmology
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Scalar and tensor perturbations in loop quantum cosmology: High-order corrections
• Preinflationary dynamics of $\alpha -$attractor in loop quantum cosmology
• Experimental Search for Quantum Gravity
• Observational hints on the Big Bounce
• Density growth in Kantowski-Sachs cosmologies with cosmological constant
• Non-linear (loop) quantum cosmology
• Numerical Techniques in Loop Quantum Cosmology
• Bianchi I model in terms of nonstandard loop quantum cosmology: Classical dynamics
• Revisiting pre-inflationary universe of family of $\alpha -$attractor in loop quantum cosmology
• Observables for FRW model with cosmological constant in the framework of loop cosmology
• Gravitational wave generation in loop quantum cosmology
• Loop Quantum Gravity and Cosmology: A dynamical introduction
• Cosmological inflation driven by holonomy corrections of loop quantum cosmology
• Loop Quantum Cosmology corrections on gravity waves produced during primordial inflation
• Mimetic gravity: mimicking the dynamics of the primeval universe in the context of loop quantum cosmology
• Slow-roll approximation in loop quantum cosmology
• A Momentous Arrow of Time
• Initial conditions of pre-inflation with Hilltop potential in loop quantum cosmology
• Tensor Tilt from Primordial B-modes
• Quantum gravity effects on space-time
• Smoothed quantum fluctuations and CMB observations
• A note on testing pre-inflationary times with gravitational-waves