The exploration of the universe has recently entered a new era thanks to the multi-
messenger paradigm, characterized by a continuous increase in the quantity and quality of …

In quantum cosmology, one applies quantum physics to the whole universe. While no
unique version and no completely well-defined theory is available yet, the framework gives …

Cosmological perturbations are generally described by quantum fields on (curved but)
classical space-times. While this strategy has a large domain of validity, it can not be justified …

Canonical quantization is often used to suggest new effects in quantum gravity, in the
dynamics as well as the structure of space-time. Usually, possible phenomena are first seen …

This Chapter provides an up to date, pedagogical review of some of the most relevant
advances in loop quantum cosmology. We review the quantization of homogeneous …

Since the standard inflationary paradigm is based on quantum field theory on classical
space-times,<? format?> it excludes the Planck era. Using techniques from loop quantum …

This chapter provides a review of the frameworks developed for cosmological perturbation
theory in loop quantum cosmology and applications to various models of the early universe …

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 …

In the matter bounce scenario, a dust-dominated contracting space-time generates scale-
invariant perturbations that, assuming a nonsingular bouncing cosmology, propagate to the …

We review the present status of quantum-gravity phenomenology in relation to gravitational
waves (GWs). The topic can be approached from two directions, a model-dependent one …