Author: Martin Bojowald
Publisher: Springer Science & Business Media
ISBN: 1441982752
Category : Science
Languages : en
Pages : 306
Book Description
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.
Quantum Cosmology
Author: Martin Bojowald
Publisher: Springer Science & Business Media
ISBN: 1441982752
Category : Science
Languages : en
Pages : 306
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 1441982752
Category : Science
Languages : en
Pages : 306
Book Description
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
Author: Martin Bojowald
Publisher:
ISBN: 9780750324588
Category : Quantum cosmology
Languages : en
Pages : 346
Book Description
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.
Publisher:
ISBN: 9780750324588
Category : Quantum cosmology
Languages : en
Pages : 346
Book Description
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 Cosmology
Author: Remo Ruffini
Publisher: World Scientific
ISBN: 9789971503123
Category : Science
Languages : en
Pages : 358
Book Description
This detailed survey comprises reprints on subjects related to the development of quantum cosmology. As an introduction, an overview is included.
Publisher: World Scientific
ISBN: 9789971503123
Category : Science
Languages : en
Pages : 358
Book Description
This detailed survey comprises reprints on subjects related to the development of quantum cosmology. As an introduction, an overview is included.
Classical and Quantum Cosmology
Author: Gianluca Calcagni
Publisher: Springer
ISBN: 3319411276
Category : Science
Languages : en
Pages : 854
Book Description
This comprehensive textbook is devoted to classical and quantum cosmology, with particular emphasis on modern approaches to quantum gravity and string theory and on their observational imprint. It covers major challenges in theoretical physics such as the big bang and the cosmological constant problem. An extensive review of standard cosmology, the cosmic microwave background, inflation and dark energy sets the scene for the phenomenological application of all the main quantum-gravity and string-theory models of cosmology. Born of the author's teaching experience and commitment to bridging the gap between cosmologists and theoreticians working beyond the established laws of particle physics and general relativity, this is a unique text where quantum-gravity approaches and string theory are treated on an equal footing. As well as introducing cosmology to undergraduate and graduate students with its pedagogical presentation and the help of 45 solved exercises, this book, which includes an ambitious bibliography of about 3500 items, will serve as a valuable reference for lecturers and researchers.
Publisher: Springer
ISBN: 3319411276
Category : Science
Languages : en
Pages : 854
Book Description
This comprehensive textbook is devoted to classical and quantum cosmology, with particular emphasis on modern approaches to quantum gravity and string theory and on their observational imprint. It covers major challenges in theoretical physics such as the big bang and the cosmological constant problem. An extensive review of standard cosmology, the cosmic microwave background, inflation and dark energy sets the scene for the phenomenological application of all the main quantum-gravity and string-theory models of cosmology. Born of the author's teaching experience and commitment to bridging the gap between cosmologists and theoreticians working beyond the established laws of particle physics and general relativity, this is a unique text where quantum-gravity approaches and string theory are treated on an equal footing. As well as introducing cosmology to undergraduate and graduate students with its pedagogical presentation and the help of 45 solved exercises, this book, which includes an ambitious bibliography of about 3500 items, will serve as a valuable reference for lecturers and researchers.
Quantum Gravity and Quantum Cosmology
Author: Gianluca Calcagni
Publisher: Springer
ISBN: 3642330363
Category : Science
Languages : en
Pages : 402
Book Description
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.
Publisher: Springer
ISBN: 3642330363
Category : Science
Languages : en
Pages : 402
Book Description
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.
Gravity, Gauge Theories and Quantum Cosmology
Author: J.V. Narlikar
Publisher: Springer Science & Business Media
ISBN: 9400945086
Category : Science
Languages : en
Pages : 477
Book Description
For several decades since its inception, Einstein's general theory of relativity stood somewhat aloof from the rest of physics. Paradoxically, the attributes which normally boost a physical theory - namely, its perfection as a theoreti cal framework and the extraordinary intellectual achievement underlying i- prevented the general theory from being assimilated in the mainstream of physics. It was as if theoreticians hesitated to tamper with something that is manifestly so beautiful. Happily, two developments in the 1970s have narrowed the gap. In 1974 Stephen Hawking arrived at the remarkable result that black holes radiate after all. And in the second half of the decade, particle physicists discovered that the only scenario for applying their grand unified theories was offered by the very early phase in the history of the Big Bang universe. In both cases, it was necessary to discuss the ideas of quantum field theory in the background of curved spacetime that is basic to general relativity. This is, however, only half the total story. If gravity is to be brought into the general fold of theoretical physics we have to know how to quantize it. To date this has proved a formidable task although most physicists would agree that, as in the case of grand unified theories, quantum gravity will have applications to cosmology, in the very early stages of the Big Bang universe. In fact, the present picture of the Big Bang universe necessarily forces us to think of quantum cosmology.
Publisher: Springer Science & Business Media
ISBN: 9400945086
Category : Science
Languages : en
Pages : 477
Book Description
For several decades since its inception, Einstein's general theory of relativity stood somewhat aloof from the rest of physics. Paradoxically, the attributes which normally boost a physical theory - namely, its perfection as a theoreti cal framework and the extraordinary intellectual achievement underlying i- prevented the general theory from being assimilated in the mainstream of physics. It was as if theoreticians hesitated to tamper with something that is manifestly so beautiful. Happily, two developments in the 1970s have narrowed the gap. In 1974 Stephen Hawking arrived at the remarkable result that black holes radiate after all. And in the second half of the decade, particle physicists discovered that the only scenario for applying their grand unified theories was offered by the very early phase in the history of the Big Bang universe. In both cases, it was necessary to discuss the ideas of quantum field theory in the background of curved spacetime that is basic to general relativity. This is, however, only half the total story. If gravity is to be brought into the general fold of theoretical physics we have to know how to quantize it. To date this has proved a formidable task although most physicists would agree that, as in the case of grand unified theories, quantum gravity will have applications to cosmology, in the very early stages of the Big Bang universe. In fact, the present picture of the Big Bang universe necessarily forces us to think of quantum cosmology.
Canonical Gravity and Applications
Author: Martin Bojowald
Publisher: Cambridge University Press
ISBN: 1139494139
Category : Science
Languages : en
Pages : 313
Book Description
Canonical methods are a powerful mathematical tool within the field of gravitational research, both theoretical and experimental, and have contributed to a number of recent developments in physics. Providing mathematical foundations as well as physical applications, this is the first systematic explanation of canonical methods in gravity. The book discusses the mathematical and geometrical notions underlying canonical tools, highlighting their applications in all aspects of gravitational research from advanced mathematical foundations to modern applications in cosmology and black hole physics. The main canonical formulations, including the Arnowitt-Deser-Misner (ADM) formalism and Ashtekar variables, are derived and discussed. Ideal for both graduate students and researchers, this book provides a link between standard introductions to general relativity and advanced expositions of black hole physics, theoretical cosmology or quantum gravity.
Publisher: Cambridge University Press
ISBN: 1139494139
Category : Science
Languages : en
Pages : 313
Book Description
Canonical methods are a powerful mathematical tool within the field of gravitational research, both theoretical and experimental, and have contributed to a number of recent developments in physics. Providing mathematical foundations as well as physical applications, this is the first systematic explanation of canonical methods in gravity. The book discusses the mathematical and geometrical notions underlying canonical tools, highlighting their applications in all aspects of gravitational research from advanced mathematical foundations to modern applications in cosmology and black hole physics. The main canonical formulations, including the Arnowitt-Deser-Misner (ADM) formalism and Ashtekar variables, are derived and discussed. Ideal for both graduate students and researchers, this book provides a link between standard introductions to general relativity and advanced expositions of black hole physics, theoretical cosmology or quantum gravity.
Quantum Universe, The: Essays on Quantum Mechanics, Quantum Cosmology and Physics in General
Author: James B. Hartle
Publisher: World Scientific Publishing Company
ISBN: 9789811216398
Category : Science
Languages : en
Pages : 400
Book Description
As physics has progressed, its most fundamental theories have become more distant from everyday experience posing challenges for understanding, notably with quantum mechanics. This volume contains twenty-nine essays written to address such challenges. The essays address issues in quantum mechanics, quantum cosmology and physics in general. Examples include: How do we apply quantum mechanics to the whole universe when all observers are inside? What do we mean by past, present, and future in a four-dimensional universe? What is the origin of classical predictability in a quantum universe? Could physics predict non-computable numbers? Short personal recollections of Murray Gell-Mann and Stephen Hawking are included.The essays vary in length, style, and level but should be accessible to most physicists.
Publisher: World Scientific Publishing Company
ISBN: 9789811216398
Category : Science
Languages : en
Pages : 400
Book Description
As physics has progressed, its most fundamental theories have become more distant from everyday experience posing challenges for understanding, notably with quantum mechanics. This volume contains twenty-nine essays written to address such challenges. The essays address issues in quantum mechanics, quantum cosmology and physics in general. Examples include: How do we apply quantum mechanics to the whole universe when all observers are inside? What do we mean by past, present, and future in a four-dimensional universe? What is the origin of classical predictability in a quantum universe? Could physics predict non-computable numbers? Short personal recollections of Murray Gell-Mann and Stephen Hawking are included.The essays vary in length, style, and level but should be accessible to most physicists.
Quantum Analogues: From Phase Transitions to Black Holes and Cosmology
Author: William Unruh
Publisher: Springer
ISBN: 3540708596
Category : Science
Languages : en
Pages : 306
Book Description
Recently, analogies between laboratory physics (e.g. quantum optics and condensed matter) and gravitational/cosmological phenomena such as black holes have attracted an increasing interest. This book contains a series of selected lectures devoted to this new and rapidly developing field. Various analogies connecting (apparently) different areas in physics are presented in order to bridge the gap between them and to provide an alternative point of view.
Publisher: Springer
ISBN: 3540708596
Category : Science
Languages : en
Pages : 306
Book Description
Recently, analogies between laboratory physics (e.g. quantum optics and condensed matter) and gravitational/cosmological phenomena such as black holes have attracted an increasing interest. This book contains a series of selected lectures devoted to this new and rapidly developing field. Various analogies connecting (apparently) different areas in physics are presented in order to bridge the gap between them and to provide an alternative point of view.
Quantum
Author: Edgard Elbaz
Publisher: Springer Science & Business Media
ISBN: 3642602665
Category : Science
Languages : en
Pages : 607
Book Description
A new approach to the teaching of quantum physics. The first seven chapters present nonrelativistic quantum mechanics and its interpretation, as well as perturbations and scattering theory. While including Dirac's and Feynman's formalisms, the chapter on symmetry also treats gauge transformations. The quantum theory of angular momentum includes the isospin of leptons and quarks and uses as a new tool the graphical spin algebra. The second part of the book is devoted to quantum fields: Boson fields including Higgs fields, Dirac's theory of Fermion fields, quantum electrodynamic and quantum chromodynamics. The whole is rounded off by a brief review guaranteed to raise the students' interests in quantum cosmology. Readers will also find many detailed worked examples and numerous problems designed to test their own understanding.
Publisher: Springer Science & Business Media
ISBN: 3642602665
Category : Science
Languages : en
Pages : 607
Book Description
A new approach to the teaching of quantum physics. The first seven chapters present nonrelativistic quantum mechanics and its interpretation, as well as perturbations and scattering theory. While including Dirac's and Feynman's formalisms, the chapter on symmetry also treats gauge transformations. The quantum theory of angular momentum includes the isospin of leptons and quarks and uses as a new tool the graphical spin algebra. The second part of the book is devoted to quantum fields: Boson fields including Higgs fields, Dirac's theory of Fermion fields, quantum electrodynamic and quantum chromodynamics. The whole is rounded off by a brief review guaranteed to raise the students' interests in quantum cosmology. Readers will also find many detailed worked examples and numerous problems designed to test their own understanding.