Author: Sergei Winitzki
Publisher: Lulu.com
ISBN: 0359791336
Category : Science
Languages : en
Pages : 206
Book Description
In this book, I discuss the long-standing technical and conceptual problems arising within the statistical framework describing models of cosmological inflation, known collectively as the "measure problem" in multiverse cosmology. After reviewing various existing approaches and mathematical techniques developed in the past two decades for studying these issues, I describe a new proposal for a measure in the multiverse, called the reheating-volume (RV) measure. The RV measure is based on approximating an infinite multiverse by a family of progressively larger but finite multiverses. I give a detailed description of the new measure and its applications to generic models of eternal inflation of random-walk type and to landscape scenarios. The RV prescription is formulated differently for scenarios with eternal inflation of the random walk type and for landscape scenarios. I derive analytic formulas for RV-regulated probability distributions that is suitable for numerical computations.
Eternal Inflation
Author: Sergei Winitzki
Publisher: Lulu.com
ISBN: 0359791336
Category : Science
Languages : en
Pages : 206
Book Description
In this book, I discuss the long-standing technical and conceptual problems arising within the statistical framework describing models of cosmological inflation, known collectively as the "measure problem" in multiverse cosmology. After reviewing various existing approaches and mathematical techniques developed in the past two decades for studying these issues, I describe a new proposal for a measure in the multiverse, called the reheating-volume (RV) measure. The RV measure is based on approximating an infinite multiverse by a family of progressively larger but finite multiverses. I give a detailed description of the new measure and its applications to generic models of eternal inflation of random-walk type and to landscape scenarios. The RV prescription is formulated differently for scenarios with eternal inflation of the random walk type and for landscape scenarios. I derive analytic formulas for RV-regulated probability distributions that is suitable for numerical computations.
Publisher: Lulu.com
ISBN: 0359791336
Category : Science
Languages : en
Pages : 206
Book Description
In this book, I discuss the long-standing technical and conceptual problems arising within the statistical framework describing models of cosmological inflation, known collectively as the "measure problem" in multiverse cosmology. After reviewing various existing approaches and mathematical techniques developed in the past two decades for studying these issues, I describe a new proposal for a measure in the multiverse, called the reheating-volume (RV) measure. The RV measure is based on approximating an infinite multiverse by a family of progressively larger but finite multiverses. I give a detailed description of the new measure and its applications to generic models of eternal inflation of random-walk type and to landscape scenarios. The RV prescription is formulated differently for scenarios with eternal inflation of the random walk type and for landscape scenarios. I derive analytic formulas for RV-regulated probability distributions that is suitable for numerical computations.
Eternal Inflation
Author: Sergei Winitzki
Publisher: World Scientific
ISBN: 9814470538
Category : Science
Languages : en
Pages : 237
Book Description
This volume is the only monograph covering the exciting and dazzling recent developments in quantum cosmology, including the theory of the “multiverse” and eternal inflation pioneered by A Vilenkin, A Linde, S W Hawking, and others. Written by a leading expert in the field known for his depth and clarity of presentation, the volume presents an overview of 20 years of development of the theory of eternal inflation as well as a comprehensive, research-level introduction into the current methods and problems.This volume is invaluable for researchers as a definitive reference in the rapidly developing field. Written in a self-contained manner with detailed mathematical derivations of the results, graduate students will also find it a readable and useful textbook for self-study.
Publisher: World Scientific
ISBN: 9814470538
Category : Science
Languages : en
Pages : 237
Book Description
This volume is the only monograph covering the exciting and dazzling recent developments in quantum cosmology, including the theory of the “multiverse” and eternal inflation pioneered by A Vilenkin, A Linde, S W Hawking, and others. Written by a leading expert in the field known for his depth and clarity of presentation, the volume presents an overview of 20 years of development of the theory of eternal inflation as well as a comprehensive, research-level introduction into the current methods and problems.This volume is invaluable for researchers as a definitive reference in the rapidly developing field. Written in a self-contained manner with detailed mathematical derivations of the results, graduate students will also find it a readable and useful textbook for self-study.
Eternal Inflation
Author: Sergei Winitzki
Publisher: World Scientific Publishing Company
ISBN:
Category : Science
Languages : en
Pages : 244
Book Description
1. Introduction -- 2. Inflationary cosmology. 2.1. The inflationary paradigm. 2.2. Slow-roll inflation and attractors -- 3. Eternal inflation. 3.1. Predictions in eternal inflation. 3.2. Physical justifications of the semiclassical picture -- 4. Stochastic approach to inflation. 4.1. Eternal inflation of random walk type. 4.2. Presence of eternal inflation -- 5. Models with bubble nucleation -- 6. The measure problem and proposed solutions. 6.1. Observer-based measures. 6.2. Regularization for a single reheating surface. 6.3. Regularization for multiple types of reheating surfaces. 6.4. Youngness paradox and "Boltzmann brains"--7. The RV measure : first look. 7.1. Reheating-volume cutoff. 7.2. RV cutoff in slow-roll inflation -- 8. The RV measure for random-walk inflation. 8.1. Preliminary results. 8.2. Overview of the results. 8.3. Derivations -- 9. The RV measure for the landscape. 9.1. Regulating the number of terminal bubbles. 9.2. Regulating the total number of bubbles. 9.3. A toy landscape. 9.4. A general landscape -- 10. Conclusion
Publisher: World Scientific Publishing Company
ISBN:
Category : Science
Languages : en
Pages : 244
Book Description
1. Introduction -- 2. Inflationary cosmology. 2.1. The inflationary paradigm. 2.2. Slow-roll inflation and attractors -- 3. Eternal inflation. 3.1. Predictions in eternal inflation. 3.2. Physical justifications of the semiclassical picture -- 4. Stochastic approach to inflation. 4.1. Eternal inflation of random walk type. 4.2. Presence of eternal inflation -- 5. Models with bubble nucleation -- 6. The measure problem and proposed solutions. 6.1. Observer-based measures. 6.2. Regularization for a single reheating surface. 6.3. Regularization for multiple types of reheating surfaces. 6.4. Youngness paradox and "Boltzmann brains"--7. The RV measure : first look. 7.1. Reheating-volume cutoff. 7.2. RV cutoff in slow-roll inflation -- 8. The RV measure for random-walk inflation. 8.1. Preliminary results. 8.2. Overview of the results. 8.3. Derivations -- 9. The RV measure for the landscape. 9.1. Regulating the number of terminal bubbles. 9.2. Regulating the total number of bubbles. 9.3. A toy landscape. 9.4. A general landscape -- 10. Conclusion
Inflationary Cosmology
Author: Martin Lemoine
Publisher: Springer
ISBN: 3540743537
Category : Science
Languages : en
Pages : 435
Book Description
Some 25 years after the birth of inflationary cosmology, this volume sets out to provide both an authoritative and pedagogical introduction and review of the current state of the field. Readers learn about the arguments supporting the many different scenarios of cosmic inflation. Articles are written by eminent scientists, many of whom have made pioneering contributions to the field of inflationary cosmology.
Publisher: Springer
ISBN: 3540743537
Category : Science
Languages : en
Pages : 435
Book Description
Some 25 years after the birth of inflationary cosmology, this volume sets out to provide both an authoritative and pedagogical introduction and review of the current state of the field. Readers learn about the arguments supporting the many different scenarios of cosmic inflation. Articles are written by eminent scientists, many of whom have made pioneering contributions to the field of inflationary cosmology.
Particle Physics and Inflationary Cosmology
Author: Andrei Linde
Publisher: CRC Press
ISBN: 9783718604906
Category : Science
Languages : en
Pages : 384
Book Description
A monograph on inflationary cosmology and cosmological phase transitions, investigating modern cosmology's relationship to elementary particle physics. This work also includes a non-technical discussion of inflationary cosmology for those unfamiliar with the theory.
Publisher: CRC Press
ISBN: 9783718604906
Category : Science
Languages : en
Pages : 384
Book Description
A monograph on inflationary cosmology and cosmological phase transitions, investigating modern cosmology's relationship to elementary particle physics. This work also includes a non-technical discussion of inflationary cosmology for those unfamiliar with the theory.
An Infinity of Worlds
Author: Will Kinney
Publisher: MIT Press
ISBN: 0262547228
Category : Science
Languages : en
Pages : 251
Book Description
What happened before the primordial fire of the Big Bang: a theory about the ultimate origin of the universe. In the beginning was the Big Bang: an unimaginably hot fire almost fourteen billion years ago in which the first elements were forged. The physical theory of the hot nascent universe—the Big Bang—was one of the most consequential developments in twentieth-century science. And yet it leaves many questions unanswered: Why is the universe so big? Why is it so old? What is the origin of structure in the cosmos? In An Infinity of Worlds, physicist Will Kinney explains a more recent theory that may hold the answers to these questions and even explain the ultimate origins of the universe: cosmic inflation, before the primordial fire of the Big Bang. Kinney argues that cosmic inflation is a transformational idea in cosmology, changing our picture of the basic structure of the cosmos and raising unavoidable questions about what we mean by a scientific theory. He explains that inflation is a remarkable unification of inner space and outer space, in which the physics of the very large (the cosmos) meets the physics of the very small (elementary particles and fields), closing in a full circle at the first moment of time. With quantum uncertainty its fundamental feature, this new picture of cosmic origins introduces the possibility that the origin of the universe was of a quantum nature. Kinney considers the consequences of eternal cosmic inflation. Can we come to terms with the possibility that our entire observable universe is one of infinitely many, forever hidden from our view?
Publisher: MIT Press
ISBN: 0262547228
Category : Science
Languages : en
Pages : 251
Book Description
What happened before the primordial fire of the Big Bang: a theory about the ultimate origin of the universe. In the beginning was the Big Bang: an unimaginably hot fire almost fourteen billion years ago in which the first elements were forged. The physical theory of the hot nascent universe—the Big Bang—was one of the most consequential developments in twentieth-century science. And yet it leaves many questions unanswered: Why is the universe so big? Why is it so old? What is the origin of structure in the cosmos? In An Infinity of Worlds, physicist Will Kinney explains a more recent theory that may hold the answers to these questions and even explain the ultimate origins of the universe: cosmic inflation, before the primordial fire of the Big Bang. Kinney argues that cosmic inflation is a transformational idea in cosmology, changing our picture of the basic structure of the cosmos and raising unavoidable questions about what we mean by a scientific theory. He explains that inflation is a remarkable unification of inner space and outer space, in which the physics of the very large (the cosmos) meets the physics of the very small (elementary particles and fields), closing in a full circle at the first moment of time. With quantum uncertainty its fundamental feature, this new picture of cosmic origins introduces the possibility that the origin of the universe was of a quantum nature. Kinney considers the consequences of eternal cosmic inflation. Can we come to terms with the possibility that our entire observable universe is one of infinitely many, forever hidden from our view?
Many Worlds in One
Author: Alex Vilenkin
Publisher: Hill and Wang
ISBN: 0374707146
Category : Science
Languages : en
Pages : 248
Book Description
A Leading Figure in the Development of the New Cosmology Explains What It All Means Among his peers, Alex Vilenkin is regarded as one of the most imaginative and creative cosmologists of our time. His contributions to our current understanding of the universe include a number of novel ideas, two of which—eternal cosmic inflation and the quantum creation of the universe from nothing—have provided a scientific foundation for the possible existence of multiple universes. With this book—his first for the general reader—Vilenkin joins another select group: the handful of first-rank scientists who are equally adept at explaining their work to nonspecialists. With engaging, well-paced storytelling, a droll sense of humor, and a generous sprinkling of helpful cartoons, he conjures up a bizarre and fascinating new worldview that—to paraphrase Niels Bohr—just might be crazy enough to be true.
Publisher: Hill and Wang
ISBN: 0374707146
Category : Science
Languages : en
Pages : 248
Book Description
A Leading Figure in the Development of the New Cosmology Explains What It All Means Among his peers, Alex Vilenkin is regarded as one of the most imaginative and creative cosmologists of our time. His contributions to our current understanding of the universe include a number of novel ideas, two of which—eternal cosmic inflation and the quantum creation of the universe from nothing—have provided a scientific foundation for the possible existence of multiple universes. With this book—his first for the general reader—Vilenkin joins another select group: the handful of first-rank scientists who are equally adept at explaining their work to nonspecialists. With engaging, well-paced storytelling, a droll sense of humor, and a generous sprinkling of helpful cartoons, he conjures up a bizarre and fascinating new worldview that—to paraphrase Niels Bohr—just might be crazy enough to be true.
String Theory For Dummies
Author: Andrew Zimmerman Jones
Publisher: John Wiley & Sons
ISBN: 047046724X
Category : Science
Languages : en
Pages : 387
Book Description
A clear, plain-English guide to this complex scientific theory String theory is the hottest topic in physics right now, with books on the subject (pro and con) flying out of the stores. String Theory For Dummies offers an accessible introduction to this highly mathematical "theory of everything," which posits ten or more dimensions in an attempt to explain the basic nature of matter and energy. Written for both students and people interested in science, this guide explains concepts, discusses the string theory's hypotheses and predictions, and presents the math in an approachable manner. It features in-depth examples and an easy-to-understand style so that readers can understand this controversial, cutting-edge theory.
Publisher: John Wiley & Sons
ISBN: 047046724X
Category : Science
Languages : en
Pages : 387
Book Description
A clear, plain-English guide to this complex scientific theory String theory is the hottest topic in physics right now, with books on the subject (pro and con) flying out of the stores. String Theory For Dummies offers an accessible introduction to this highly mathematical "theory of everything," which posits ten or more dimensions in an attempt to explain the basic nature of matter and energy. Written for both students and people interested in science, this guide explains concepts, discusses the string theory's hypotheses and predictions, and presents the math in an approachable manner. It features in-depth examples and an easy-to-understand style so that readers can understand this controversial, cutting-edge theory.
Measuring and Modeling the Universe: Volume 2, Carnegie Observatories Astrophysics Series
Author: Wendy L. Freedman
Publisher: Cambridge University Press
ISBN: 9780521755764
Category : Science
Languages : en
Pages : 420
Book Description
This comprehensive volume reviews the current theory and measurement of various parameters related to the evolution of the universe. Topics include inflation, string theory and the history of cosmology in the context of current measurements being made of the Hubble constant, matter density, and dark energy. Observational results are included from the Sloan, Digital Sky Survey, Keck, Magellan, cosmic microwave background experiments, Hubble space telescope and Chandra. Featuring chapters by leading authorities in the field, this book is a valuable resource for graduate students and professional research astronomers.
Publisher: Cambridge University Press
ISBN: 9780521755764
Category : Science
Languages : en
Pages : 420
Book Description
This comprehensive volume reviews the current theory and measurement of various parameters related to the evolution of the universe. Topics include inflation, string theory and the history of cosmology in the context of current measurements being made of the Hubble constant, matter density, and dark energy. Observational results are included from the Sloan, Digital Sky Survey, Keck, Magellan, cosmic microwave background experiments, Hubble space telescope and Chandra. Featuring chapters by leading authorities in the field, this book is a valuable resource for graduate students and professional research astronomers.
The Future of Theoretical Physics and Cosmology
Author: G. W. Gibbons
Publisher: Cambridge University Press
ISBN: 9780521820813
Category : Biography & Autobiography
Languages : en
Pages : 924
Book Description
Based on lectures given in honour of Stephen Hawking's sixtieth birthday, this book comprises contributions from some of the world's leading theoretical physicists. It begins with a section containing chapters by successful scientific popularisers, bringing to life both Hawking's work and other exciting developments in physics. The book then goes on to provide a critical evaluation of advanced subjects in modern cosmology and theoretical physics. Topics covered include the origin of the universe, warped spacetime, cosmological singularities, quantum gravity, black holes, string theory, quantum cosmology and inflation. As well as providing a fascinating overview of the wide variety of subject areas to which Stephen Hawking has contributed, this book represents an important assessment of prospects for the future of fundamental physics and cosmology.
Publisher: Cambridge University Press
ISBN: 9780521820813
Category : Biography & Autobiography
Languages : en
Pages : 924
Book Description
Based on lectures given in honour of Stephen Hawking's sixtieth birthday, this book comprises contributions from some of the world's leading theoretical physicists. It begins with a section containing chapters by successful scientific popularisers, bringing to life both Hawking's work and other exciting developments in physics. The book then goes on to provide a critical evaluation of advanced subjects in modern cosmology and theoretical physics. Topics covered include the origin of the universe, warped spacetime, cosmological singularities, quantum gravity, black holes, string theory, quantum cosmology and inflation. As well as providing a fascinating overview of the wide variety of subject areas to which Stephen Hawking has contributed, this book represents an important assessment of prospects for the future of fundamental physics and cosmology.