Quantum Gravity And Quantum Cosmology
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Quantum Gravity Quantum Cosmology And Lorentzian Geometries
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Author : Giampiero Esposito
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-01-28
Quantum Gravity Quantum Cosmology And Lorentzian Geometries written by Giampiero Esposito and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-28 with Computers categories.
The first aim of this book is to describe recent work on the problem of boundary conditions in one-loop quantum cosmology. The motivation is to understand whether supersymmetric theories are one-loop finite in the presence of boundaries. The second aim of the book is to present a recent, entirely new study of the singularity problem for space-times with torsion. The book is written in self-contained form. In many cases problems have been initially formulated in the simplest possible way, and finally presented and solved at increasing levels of complexity. Readers will find here a detailed and updated study of quantum cosmology, its motivation, and application to perturbative quantum gravity. Moreover, this is the first book which enables the reader to learn techniques used in classical gravity and quantum cosmology. The second edition adds new material to both the text and the bibliography.
Quantum Cosmology
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Author : Martin Bojowald
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-15
Quantum Cosmology written by Martin Bojowald and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-15 with Science categories.
Consequences of quantum gravity on grander scales are expected to be enormous: only such a theory can show how black holes really behave and where our universe came from. Applications of loop quantum gravity to cosmology have especially by now shed much light on cosmic evolution of a universe in a fundamental, microscopic description. Modern techniques are explained in this book which demonstrate how the universe could have come from a non-singular phase before the big bang, how equations for the evolution of structure can be derived, but also what fundamental limitations remain to our knowledge of the universe before the big bang. The following topics will be covered in this book: Hamiltonian cosmology: a general basic treatment of isotropy, perturbations and their role for observations; useful in general cosmology. Effective equations: an efficient way to evaluate equations of quantum gravity, which is also useful in other areas of physics where quantum theory is involved. Loop quantization: a new formalism for the atomic picture of space-time; usually presented at a sophisticated mathematical level, but evaluated here from an intuitive physical side. The book will start with physical motivations, rather than mathematical developments which is more common in other expositions of this field. All the required mathematical methods will be presented, but will not distract the reader from seeing the underlying physics. Simple but representative models will be presented first to show the basic features, which are then used to work upwards to a general description of quantum gravity and its applications in cosmology. This will make the book accessible to a more general physics readership.
Foundations Of Quantum Cosmology
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Author : Martin Bojowald
language : en
Publisher:
Release Date : 2020-09-25
Foundations Of Quantum Cosmology written by Martin Bojowald and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-25 with categories.
This is the first book to lay the physical foundations of quantum cosmology, complete with an introduction to space-time physics, quantum theory, and the main approaches to quantum gravity. It is an essential guide for researchers in quantum gravity and astrophysicists interested in fundamental aspects of cosmology.
Quantum Gravity And Quantum Cosmology
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Author : Gianluca Calcagni
language : en
Publisher: Springer
Release Date : 2012-10-31
Quantum Gravity And Quantum Cosmology written by Gianluca Calcagni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-31 with Science categories.
Quantum gravity has developed into a fast-growing subject in physics and it is expected that probing the high-energy and high-curvature regimes of gravitating systems will shed some light on how to eventually achieve an ultraviolet complete quantum theory of gravity. Such a theory would provide the much needed information about fundamental problems of classical gravity, such as the initial big-bang singularity, the cosmological constant problem, Planck scale physics and the early-time inflationary evolution of our Universe. While in the first part of this book concepts of quantum gravity are introduced and approached from different angles, the second part discusses these theories in connection with cosmological models and observations, thereby exploring which types of signatures of modern and mathematically rigorous frameworks can be detected by experiments. The third and final part briefly reviews the observational status of dark matter and dark energy, and introduces alternative cosmological models. Edited and authored by leading researchers in the field and cast into the form of a multi-author textbook at postgraduate level, this volume will be of benefit to all postgraduate students and newcomers from neighboring disciplines wishing to find a comprehensive guide for their future research.
Quantum Gravity Quantum Cosmology And Lorentzian Geometries
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Author : Giampiero Esposito
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-13
Quantum Gravity Quantum Cosmology And Lorentzian Geometries written by Giampiero Esposito and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-13 with Science categories.
This book is aimed at theoretical and mathematical physicists and mathematicians interested in modern gravitational physics. I have thus tried to use language familiar to readers working on classical and quantum gravity, paying attention both to difficult calculations and to existence theorems, and discussing in detail the current literature. The first aim of the book is to describe recent work on the problem of boundary conditions in one-loop quantum cosmology. The motivation of this research was to under stand whether supersymmetric theories are one-loop finite in the presence of boundaries, with application to the boundary-value problemsoccurring in quantum cosmology. Indeed, higher-loop calculations in the absence of boundaries are already available in the litera ture, showing that supergravity is not finite. I believe, however, that one-loop calculations in the presence of boundaries are more fundamental, in that they provide a more direct check of the inconsistency of supersymmetric quantum cosmology from the perturbative point of view. It therefore appears that higher-order calculations are not strictly needed, if the one-loop test already yields negative results. Even though the question is not yet settled, this research has led to many interesting, new applications of areas of theoretical and mathematical physics such as twistor theory in flat space, self-adjointness theory, the generalized Riemann zeta-function, and the theory of boundary counterterms in super gravity. I have also compared in detail my work with results by other authors, explaining, whenever possible, the origin of different results, the limits of my work and the unsolved problems.
Quantum Gravity In 2 1 Dimensions
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Author : Steven Carlip
language : en
Publisher: Cambridge University Press
Release Date : 2003-12-04
Quantum Gravity In 2 1 Dimensions written by Steven Carlip and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-04 with Science categories.
The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.
Quantum Cosmology
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Author : Martin Bojowald
language : en
Publisher: Springer
Release Date : 2011-07-15
Quantum Cosmology written by Martin Bojowald and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-15 with Science categories.
Consequences of quantum gravity on grander scales are expected to be enormous: only such a theory can show how black holes really behave and where our universe came from. Applications of loop quantum gravity to cosmology have especially by now shed much light on cosmic evolution of a universe in a fundamental, microscopic description. Modern techniques are explained in this book which demonstrate how the universe could have come from a non-singular phase before the big bang, how equations for the evolution of structure can be derived, but also what fundamental limitations remain to our knowledge of the universe before the big bang. The following topics will be covered in this book: Hamiltonian cosmology: a general basic treatment of isotropy, perturbations and their role for observations; useful in general cosmology. Effective equations: an efficient way to evaluate equations of quantum gravity, which is also useful in other areas of physics where quantum theory is involved. Loop quantization: a new formalism for the atomic picture of space-time; usually presented at a sophisticated mathematical level, but evaluated here from an intuitive physical side. The book will start with physical motivations, rather than mathematical developments which is more common in other expositions of this field. All the required mathematical methods will be presented, but will not distract the reader from seeing the underlying physics. Simple but representative models will be presented first to show the basic features, which are then used to work upwards to a general description of quantum gravity and its applications in cosmology. This will make the book accessible to a more general physics readership.
Euclidean Quantum Gravity
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Author : G. W. Gibbons
language : en
Publisher: World Scientific
Release Date : 1993
Euclidean Quantum Gravity written by G. W. Gibbons and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Science categories.
The Euclidean approach to Quantum Gravity was initiated almost 15 years ago in an attempt to understand the difficulties raised by the spacetime singularities of classical general relativity which arise in the gravitational collapse of stars to form black holes and the entire universe in the Big Bang. An important motivation was to develop an approach capable of dealing with the nonlinear, non-perturbative aspects of quantum gravity due to topologically non-trivial spacetimes. There are important links with a Riemannian geometry. Since its inception the theory has been applied to a number of important physical problems including the thermodynamic properties of black holes, quantum cosmology and the problem of the cosmological constant. It is currently at the centre of a great deal of interest.This is a collection of survey lectures and reprints of some important lectures on the Euclidean approach to quantum gravity in which one expresses the Feynman path integral as a sum over Riemannian metrics. As well as papers on the basic formalism there are sections on Black Holes, Quantum Cosmology, Wormholes and Gravitational Instantons.
The Problem Of Time
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Author : Edward Anderson
language : en
Publisher: Springer
Release Date : 2017-09-18
The Problem Of Time written by Edward Anderson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-18 with Science categories.
This book is a treatise on time and on background independence in physics. It first considers how time is conceived of in each accepted paradigm of physics: Newtonian, special relativity, quantum mechanics (QM) and general relativity (GR). Substantial differences are moreover uncovered between what is meant by time in QM and in GR. These differences jointly source the Problem of Time: Nine interlinked facets which arise upon attempting concurrent treatment of the QM and GR paradigms, as is required in particular for a background independent theory of quantum gravity. A sizeable proportion of current quantum gravity programs - e.g. geometrodynamical and loop quantum gravity approaches to quantum GR, quantum cosmology, supergravity and M-theory - are background independent in this sense. This book's foundational topic is thus furthermore of practical relevance in the ongoing development of quantum gravity programs. This book shows moreover that eight of the nine facets of the Problem of Time already occur upon entertaining background independence in classical (rather than quantum) physics. By this development, and interpreting shape theory as modelling background independence, this book further establishes background independence as a field of study. Background independent mechanics, as well as minisuperspace (spatially homogeneous) models of GR and perturbations thereabout are used to illustrate these points. As hitherto formulated, the different facets of the Problem of Time greatly interfere with each others' attempted resolutions. This book explains how, none the less, a local resolution of the Problem of Time can be arrived at after various reconceptualizations of the facets and reformulations of their mathematical implementation. Self-contained appendices on mathematical methods for basic and foundational quantum gravity are included. Finally, this book outlines how supergravity is refreshingly different from GR as a realization of background independence, and what background independence entails at the topological level and beyond.
Once Before Time
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Author : Martin Bojowald
language : en
Publisher: Vintage
Release Date : 2010-11-09
Once Before Time written by Martin Bojowald and has been published by Vintage this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-09 with Science categories.
In 2000, Martin Bojowald, then a twenty-seven-year-old post-doc at Pennsylvania State University, used a relatively new theory called loop quantum gravity—a cunning combination of Einstein’s theory of gravity with quantum mechanics—to create a simple model of the universe. Loop quantum cosmology was born, and with it, a theory that managed to do something even Einstein’s general theory of relativity had failed to do—illuminate the very birth of the universe. Ever since, loop quantum cosmology, or LQC, has been tantalizing physicists with the idea that our universe could conceivably have emerged from the collapse of a previous one. Now the theory is poised to formulate hypotheses we can actually test. If they are verified, the big bang will give way to the big bounce. Instead of a universe that emerged from a point of infinite density, we will have one that recycles, possibly through an eternal series of expansions and contractions, with no beginning and no end. Bojowald’s major realization was that unlike general relativity, the physics of LQC do not break down at the big bang. The greatest mystery surrounding the origin of the universe is what cosmologists call the big bang “singularity”—the point at the beginning of the universe, prior to the existence of space and time, when gravity, along with the temperature and density of the universe, becomes infinite. The equations of general relativity can’t cope with such infinities, and as a result big bang theory has never been able to give any explanation for the initial condition of our universe, succeeding only in describing and explaining the evolution of the universe from that instant onward. Bojowald’s theory takes us right up to the first moment of the universe—and then back, even before the big bang itself.