The Cosmological Singularity

The Cosmological Singularity PDF

Author: Vladimir Belinski

Publisher: Cambridge University Press

Published: 2017-10-26

Total Pages: 279

ISBN-13: 1107047471

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This book mathematically derives the theory underlying the Belinski-Khalatnikov-Lifshitz conjecture on the general solution of the Einstein equations with a cosmological singularity.

Bell's Theorem, Quantum Theory and Conceptions of the Universe

Bell's Theorem, Quantum Theory and Conceptions of the Universe PDF

Author: Menas Kafatos

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 314

ISBN-13: 9401708495

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Bell's Theorem and its associated implications for the nature of the physical world remain topics of great interest. For this reason many meetings have been recently held on the interpretation of quantum theory and the implications of Bell's Theorem. Generally these meetings have been held primarily for quantum physicists and philosophers of science who have been or are actively working on the topic. Nevertheless, other philosophers of science, mathematicians, engineers as well as members of the general public have increasingly taken interest in Bell's Theorem and its implications. The Fall Workshop held at George Mason University on October 21 and 22, 1988 and titled "Bell's Theorem, Quantum Theory and Conceptions of the Universe" was of a more general scope. Not only it attracted experts in the field, it also covered other topics such as the implications of quantum non-locality for the nature of consciousness, cosmology, the anthropic principle, etc. topics usually not covered in previous meetings of this kind. The meeting was attended by more than one hundred ten specialists and other interested people from all over the world. The purpose of the meeting was not to provide a definitive answer to the general questions raised by Bell's Theorem. It is likely that the debate will go on for quite a long time. Rather, it was meant to contribute to the important dialogue between different disciplines.

The Singular Universe and the Reality of Time

The Singular Universe and the Reality of Time PDF

Author: Roberto Mangabeira Unger

Publisher: Cambridge University Press

Published: 2015

Total Pages: 567

ISBN-13: 1107074061

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Roberto Mangabeira Unger and Lee Smolin argue for a revolution in our cosmological ideas. Ideal for non-scientists, physicists and cosmologists.

Gravitational Collapse and Spacetime Singularities

Gravitational Collapse and Spacetime Singularities PDF

Author: Pankaj S. Joshi

Publisher: Cambridge University Press

Published: 2007-12-13

Total Pages: 284

ISBN-13: 9780521871044

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Physical phenomena in astrophysics and cosmology involve gravitational collapse in a fundamental way. The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of the most important questions in gravitation theory and relativistic astrophysics, and is the foundation of black hole physics. General relativity predicts that continual gravitational collapse gives rise to a space-time singularity. Quantum gravity may take over in such regimes to resolve the classical space-time singularity. This book, first published in 2007, investigates these issues, and shows how the visible ultra-dense regions arise naturally and generically as an outcome of dynamical gravitational collapse. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology. It includes a detailed review of research into gravitational collapse, and several examples of collapse models are investigated in detail.

Cycles of Time

Cycles of Time PDF

Author: Roger Penrose

Publisher: Vintage

Published: 2011-09-06

Total Pages: 307

ISBN-13: 0307596745

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From Nobel prize-winner Roger Penrose, this groundbreaking book is for anyone "who is interested in the world, how it works, and how it got here" (New York Journal of Books). Penrose presents a new perspective on three of cosmology’s essential questions: What came before the Big Bang? What is the source of order in our universe? And what cosmic future awaits us? He shows how the expected fate of our ever-accelerating and expanding universe—heat death or ultimate entropy—can actually be reinterpreted as the conditions that will begin a new “Big Bang.” He details the basic principles beneath our universe, explaining various standard and non-standard cosmological models, the fundamental role of the cosmic microwave background, the paramount significance of black holes, and other basic building blocks of contemporary physics. Intellectually thrilling and widely accessible, Cycles of Time is a welcome new contribution to our understanding of the universe from one of our greatest mathematicians and thinkers.

The Analysis of Space-Time Singularities

The Analysis of Space-Time Singularities PDF

Author: C. J. S. Clarke

Publisher: Cambridge University Press

Published: 1993

Total Pages: 196

ISBN-13: 9780521437967

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The different possible singularities are defined and the mathematical methods needed to extend the space-time are described in detail in this book. Results obtained (many appearing here for the first time) show that singularities are associated with a lack of smoothness in the Riemann tensor.

The Story of Collapsing Stars

The Story of Collapsing Stars PDF

Author: Pankaj S. Joshi

Publisher: Oxford University Press, USA

Published: 2015

Total Pages: 241

ISBN-13: 0199686769

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This book journeys into one of the most fascinating intellectual adventures of recent decades - understanding and exploring the final fate of massive collapsing stars in the universe. The issue is of great interest in fundamental physics and cosmology today, from both the perspective of gravitation theory and of modern astrophysical observations. This is a revolution in the making and may be intimately connected to our search for a unified understanding of the basic forces of nature, namely gravity that governs the cosmological universe, and the microscopic forces that include quantum phenomena. According to the general theory of relativity, a massive star that collapses catastrophically under its own gravity when it runs out of its internal nuclear fuel must give rise to a space-time singularity. Such singularities are regions in the universe where all physical quantities take their extreme values and become arbitrarily large. The singularities may be covered within a black hole, or visible to faraway observers in the universe. Thus, the final fate of a collapsing massive star is either a black hole or a visible naked singularity. We discuss here recent results and developments on the gravitational collapse of massive stars and possible observational implications when naked singularities happen in the universe. Large collapsing massive stars and the resulting space-time singularities may even provide a laboratory in the cosmos where one could test the unification possibilities of basic forces of nature.

The Physics of Immortality

The Physics of Immortality PDF

Author: Frank J. Tipler

Publisher: Anchor

Published: 1997-09-18

Total Pages: 562

ISBN-13: 0385467990

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Is there a higher power in the universe? What happens to us when we die? Leading physicist Frank J. Tipler tackles these questions and more in an astonishing and profoundly important book that scientifically proves the existence of God and the physical resurrection of the dead.

Internal Structure of Black Holes and Spacetime Singularities

Internal Structure of Black Holes and Spacetime Singularities PDF

Author: Lior M. Burko

Publisher: Institute of Physics Publishing (GB)

Published: 1997

Total Pages: 552

ISBN-13:

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The physics of black holes and spacetime singularities is now a well established area of research in gravitation theory. Over recent years researchers have begun to study the internal structure of black holes and spacetime singularities. This book is primarily the proceedings of a workshop devoted to the subject. The chapters are mainly written versions of the talks given at the workshop. However, the authors have written extended introductions to their contributions, so that a reader, well versed in gravitation theory, but unaware of the current research in this subfield, should be able to follow the text Several topics are considered by more than one author, bringing into the text different viewpoints on these topics. As a result, this book is suitable for graduate students who wish to familiarize themselves with the various aspects of the structure of black holes, and for researchers who wish to learn about advances in subfields other than their own. Topics covered include: the nature of thesingularities (both null and spacelike) and the spacetime inside black holes coupled to various matter fields in classical and semiclassical gravity, as well as in alternative gravity theories; the cosmic censorship hypothesis and its connection to black hole interiors; cosmological singularities and their relation with black hole singularities; and black hole entropy and evaporation.

Singularity Theory and Gravitational Lensing

Singularity Theory and Gravitational Lensing PDF

Author: Arlie O. Petters

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 616

ISBN-13: 1461201454

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This monograph is the first to develop a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing. Introductory material in Parts I and II present historical highlights and the astrophysical aspects of the subject. Part III employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation.