In the recent twenty years, loop quantum gravity, a background independent approach to
unify general relativity and quantum mechanics, has been widely investigated. The aim of …

Loop Quantum Gravity is a nonperturbative and background independent program for the
quantization of General Relativity. Its underlying formalism has been applied successfully to …

Introduction to Loop Quantum Cosmology Symmetry, Integrability and Geometry: Methods
and Applications (SIGMA) SIGMA 8 (2012), 016, 73 pages arXiv:1109.6801 https://doi.org/10.3842/SIGMA.2012.016 …

We study the Hamiltonian formulation of the Ashtekar-Olmedo-Singh model for the
description of the interior geometry of nonrotating, uncharged black holes. This model …

The flat, homogeneous, and isotropic universe with a massless scalar field is a paradigmatic
model in loop quantum cosmology. In spite of the prominent role that the model has played …

Considerable attention has been paid to the study of the quantum geometry of nonrotating
black holes within the framework of loop quantum cosmology. This interest has been …

We present a complete quantization of an approximately homogeneous and isotropic
universe with small scalar perturbations. We consider the case in which the matter content is …

We present a detailed analysis of a quantum model for loop quantum cosmology based on
strict application of the Thiemann regularization algorithm for the Hamiltonian in loop …

It is shown that polymer quantization leads to a modified uncertainty principle similar to that
motivated by string theory and non-commutative geometry. When applied to quantum field …

The success of loop quantum cosmology to resolve classical singularities of homogeneous
models has led to its application to the classical Schwarszchild black hole interior, which …