Quantum Reduced Loop Gravity and the foundation of Loop Quantum Cosmology

Abstract

Quantum Reduced Loop Gravity is a promising framework for linking Loop Quantum Gravity and the effective semiclassical dynamics of Loop Quantum Cosmology. We review its basic achievements and its main perspectives, outlining how it provides a quantum description of the Universe in terms of a cuboidal graph which constitutes the proper framework for applying loop techniques in a cosmological setting.

18 pages, accepted at the International Journal of Modern Physics D for the special issue on Loop Quantum Cosmology

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Cited by in corpus (33)

• Non-singular black holes and the Limiting Curvature Mechanism: A Hamiltonian perspective
• Cosmological singularity resolution from quantum gravity: the emergent-bouncing universe
• Hybrid Loop Quantum Cosmology: An Overview
• Resolution of strong singularities and geodesic completeness in loop quantum Bianchi-II spacetimes
• Quantum evolution of black hole initial data sets: Foundations
• The Thiemann Complexifier and the CVH algebra for Classical and Quantum FLRW Cosmology
• A Study of Finite-time Singularities of Loop Quantum Cosmology Interacting Multifluids
• An Overview on the Nature of the Bounce in LQC and PQM
• Inhomogeneous universe from group field theory condensate
• Non-adiabatic Evolution of Primordial Perturbations and non-Gaussinity in Hybrid Approach of Loop Quantum Cosmology
• New Hamiltonians for loop quantum cosmology with arbitrary spin representations
• Preinflationary dynamics of $\alpha -$attractor in loop quantum cosmology
• Emergent Cosmology from Quantum Gravity in the Lorentzian Barrett-Crane Tensorial Group Field Theory Model
• Cosmological evolution as squeezing: a toy model for group field cosmology
• Scalar spectra of primordial perturbations in loop quantum cosmology
• Quantum reduced loop gravity effective Hamiltonians from a statistical regularization scheme
• Phenomenology of Quantum Reduced Loop Gravity in the isotropic cosmological sector
• Power spectrum of primordial perturbations for an emergent universe in quantum reduced loop gravity
• Understanding quantum black holes from quantum reduced loop gravity
• Polymer dynamics of isotropic universe in Ashtekar and in volume variables
• Loop quantum cosmology: relation between theory and observations
• Quantum Gravity on the computer: Impressions of a workshop
• Scalar curvature operator for models of loop quantum gravity on a cubical graph
• Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity
• Bianchi I effective dynamics in Quantum Reduced Loop Gravity
• Scalar curvature operator for quantum-reduced loop gravity
• Quantum reduced loop gravity: extension to gauge vector field
• Critical Insight into the Cosmological Sector of Loop Quantum Gravity
• Orthogonal gauge fixing of first order gravity
• Deformed general relativity and scalar-tensor models
• Master constraint approach to quantum-reduced loop gravity
• Homogeneous-isotropic sector of loop quantum gravity: new approach
• On the dynamics of single-vertex states in quantum-reduced loop gravity