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The unification between gravity and quantum field theory is one of the major problems in contemporary fundamental Physics. It exists for almost one century, but a final answer is yet to be found. Although string theory and loop quantum gravity have brought many answers to the quantum gravity problem, they also came with a large set of extra questions. In addition to these last two techniques, many other alternative theories have emerged along the decades. This book presents a series of selected chapters written by renowned authors. Each chapter treats gravity and its quantization through known and alternative techniques, aiming a deeper understanding on the quantum nature of gravity. Quantum Gravity is a book where the reader will find a fine collection of physical and mathematical concepts, an up to date research, about the challenging puzzle of quantum gravity.

Quantum gravity. --- Gravity, Quantum --- General relativity (Physics) --- Gravitation --- Quantum theory --- Quantum physics (quantum mechanics & quantum field theory)

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"The aim of this two-volume title is to give a comprehensive review of one hundred years of development of general relativity and its scientific influences. This unique title provides a broad introduction and review to the fascinating and profound subject of general relativity, its historical development, its important theoretical consequences, gravitational wave detection and applications to astrophysics and cosmology. The series focuses on five aspects of the theory: Genesis, Solutions and Energy ; Empirical Foundations ; Gravitational Waves ; Cosmology; Quantum Gravity. The first three topics are covered in Volume 1 and the remaining two are covered in Volume 2. While this is a two-volume title, it is designed so that each volume can be a standalone reference volume for the related topic."--Publisher's website.

General relativity (Physics) --- Gravitational waves --- Cosmology --- Quantum gravity --- History --- Gravitational waves. --- Cosmology. --- Quantum gravity. --- Gravity, Quantum --- Gravitation --- Quantum theory --- Astronomy --- Deism --- Metaphysics --- Gravitational radiation --- Gravity waves (Astrophysics) --- Gravitational fields --- Radiation --- Waves --- Relativistic theory of gravitation --- Relativity theory, General --- Physics --- Relativity (Physics) --- History. --- General relativity (Physics) - History --- General Relativity --- Quantum Gravity --- Gravitational Waves

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"The four volumes of the proceedings of MG14 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 35 morning plenary talks over 6 days, 6 evening popular talks and 100 parallel sessions on 84 topics over 4 afternoons. Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string theory, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics, including topics such as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star, pulsar and white dwarf astrophysics. The remaining volumes include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, white dwarfs, binary systems, radiative transfer, accretion disks, quasars, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational wave detectors and data analysis, precision gravitational measurements, loop quantum gravity, quantum cosmology, self-gravitating systems, gamma ray astronomy, cosmic rays and the history of general relativity"--

Binary Systems --- Astrophysics --- Loop Quantum Gravity --- Gravitational Wave Detectors and Data Analysis --- Black Hole Thermodynamics --- Active Galactic Nuclei --- Observational Cosmology --- Gravitational Wave --- X-ray Sources --- Dark Matter --- General Relativity --- Cosmic Rays --- Inflation --- Numerical Relativity --- Neutrinos --- Theoretical Physics --- Large Scale Structure --- Inhomogeneous Cosmology --- Radiative Transfer --- Supernova --- Gravitation --- Black Hole --- White Dwarf --- Precision Gravitational Measurements --- Quantum Gravity --- Quantum Cosmology --- Einstein-Maxwell Systems --- String Theory --- Cosmic Microwave Background Anisotropies --- Accretion Disks --- Neutron Star --- Gravitational Lensing --- Exact Solutions of Einstein's Equations --- Early Universe Models --- Wormholes --- Cosmology --- Pulsar --- Gamma Ray Burst

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Within the second half of the last century, quantum cosmology concretely became one of the main research lines within gravitational theory and cosmology. Substantial progress has been made. Furthermore, quantum cosmology can become a domain that will gradually develop further over the next handful of decades, perhaps assisted by technological developments. Indications for new physics (i.e., beyond the standard model of particle physics or general relativity) could emerge and then the observable universe would surely be seen from quite a new perspective. This motivates bringing quantum cosmology to more research groups and individuals.This Special Issue (SI) aims to provide a wide set of reviews, ranging from foundational issues to (very) recent advancing discussions. Concretely, we want to inspire new work proposing observational tests, providing an aggregated set of contributions, covering several lines, some of which are thoroughly explored, some allowing progress, and others much unexplored. The aim of this SI is motivate new researchers to employ and further develop quantum cosmology over the forthcoming decades. Textbooks and reviews exist on the present subject, and this SI will complementarily assist in offering open access to a set of wide-ranging reviews. Hopefully, this will assist new interested researchers, in having a single open access online volume, with reviews that can help. In particular, this will help in selecting what to explore, what to read in more detail, where to proceed, and what to investigate further within quantum cosmology.

string cosmology --- quantum cosmology --- Wheeler-DeWitt equation --- loop quantum cosmology --- observations --- classical and quantum cosmology --- time --- quantum fields in curved spacetime --- Brans–Dicke theory --- bounce models --- de Broglie–Bohm interpretation --- quantum geometrodynamics --- extended theories of gravity --- dark energy singularities --- quantum gravity --- Hawking radiation --- entanglement entropy --- uniqueness of the quantization --- polymer quantum mechanics --- bounce --- no-boundary proposal --- instantons --- multiverse --- superspace --- third quantisation --- universe–antiuniverse pair --- weyl curvature hypothesis --- early universe cosmology --- singularity and bounce --- cyclic universe --- quantum fields --- backreaction effects --- supersymmetry --- noncommutativity --- generalized uncertainty principles --- canonical quantum gravity --- clocks --- noether symmetries --- ADM formalism --- exact solutions --- supersymmetric quantum mechanics --- shape invariant potentials --- supersymmetric quantum cosmology --- n/a --- Brans-Dicke theory --- de Broglie-Bohm interpretation --- universe-antiuniverse pair

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"Holographic Quantum Matter describes a new field that has emerged in the past decade at the interface of condensed matter physics and quantum gravity. Experimental discoveries in condensed matter have led to the identification of numerous materials--like high temperature superconductors (HTS)--in which the collective motion of electrons requires deeper understand of quantum effects at large length scales. HTS's act as a "strange metal" in which the charge and energy is not carried by quasiparticles. In the meantime, studies of quantum gravity using string theory led to a major breakthrough with the identification of a mathematical tool known as the holographic correspondence. The authors describe the developments that followed with the realization that states of quantum matter without quasiparticle excitations are precisely those that are efficiently described by the holographic correspondence. The book is addressed to graduate students in theoretical physics, especially those specializing in condensed matter, string theory, or quantum field theory. It presents the necessary background in the study of quantum matter and in string theory, so that students in both fields are apprised of recent developments in the other field. It connects this introductory discussion to what are the most important recent developments. It provides the tools and motivation for performing holographic computations. And it explains how the salient technical results from holographic studies have led to new insights into quantum matter"--

Holography. --- Duality (Nuclear physics) --- Condensed matter. --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Nuclear reactions --- Scattering (Physics) --- Laser photography --- Lensless photography --- Photography, Lensless --- Wavefront reconstruction imaging --- Diffraction --- Holographic interferometry --- Interference (Light) --- Interferometry --- Laser recording --- Photonics --- Speckle metrology --- Three-dimensional display systems --- quantum matter --- holographic --- condensed matter --- condensed matter physics --- quantum --- quantum field theory --- holographic duality --- duality --- black hole --- superconductors --- theoretical physics --- quantum gravity --- holographic principle --- gauge theory --- string theory --- cosmology --- adSCFT correspondence --- anti-de Sitterconformal field theory correspondence --- Maldacena duality --- gaugegravity duality --- holographic correspondence