The Cosmological Singularity

The Cosmological Singularity
Author: Vladimir Belinski
Publisher: Cambridge University Press
Total Pages: 279
Release: 2018
Genre: Science
ISBN: 1107047471

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

The Cosmological Singularity

The Cosmological Singularity
Author: Vladimir Belinski
Publisher: Cambridge University Press
Total Pages: 280
Release: 2017-10-26
Genre: Science
ISBN: 1108547990

Written for researchers focusing on general relativity, supergravity, and cosmology, this is a self-contained exposition of the structure of the cosmological singularity in generic solutions of the Einstein equations, and an up-to-date mathematical derivation of the theory underlying the Belinski–Khalatnikov–Lifshitz (BKL) conjecture on this field. Part I provides a comprehensive review of the theory underlying the BKL conjecture. The generic asymptotic behavior near the cosmological singularity of the gravitational field, and fields describing other kinds of matter, is explained in detail. Part II focuses on the billiard reformulation of the BKL behavior. Taking a general approach, this section does not assume any simplifying symmetry conditions and applies to theories involving a range of matter fields and space-time dimensions, including supergravities. Overall, this book will equip theoretical and mathematical physicists with the theoretical fundamentals of the Big Bang, Big Crunch, Black Hole singularities, the billiard description, and emergent mathematical structures.

The Cosmological Singularity

The Cosmological Singularity
Author: Vladimir Belinski
Publisher: Cambridge University Press
Total Pages: 279
Release: 2017-10-26
Genre: Science
ISBN: 1108546897

Written for researchers focusing on general relativity, supergravity, and cosmology, this is a self-contained exposition of the structure of the cosmological singularity in generic solutions of the Einstein equations, and an up-to-date mathematical derivation of the theory underlying the Belinski–Khalatnikov–Lifshitz (BKL) conjecture on this field. Part I provides a comprehensive review of the theory underlying the BKL conjecture. The generic asymptotic behavior near the cosmological singularity of the gravitational field, and fields describing other kinds of matter, is explained in detail. Part II focuses on the billiard reformulation of the BKL behavior. Taking a general approach, this section does not assume any simplifying symmetry conditions and applies to theories involving a range of matter fields and space-time dimensions, including supergravities. Overall, this book will equip theoretical and mathematical physicists with the theoretical fundamentals of the Big Bang, Big Crunch, Black Hole singularities, the billiard description, and emergent mathematical structures.

Singularity Theory and Gravitational Lensing

Singularity Theory and Gravitational Lensing
Author: Arlie O. Petters
Publisher: Springer Science & Business Media
Total Pages: 616
Release: 2012-12-06
Genre: Science
ISBN: 1461201454

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.

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

Bell's Theorem, Quantum Theory and Conceptions of the Universe
Author: Menas Kafatos
Publisher: Springer Science & Business Media
Total Pages: 314
Release: 2013-03-09
Genre: Science
ISBN: 9401708495

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 Analysis of Space-Time Singularities

The Analysis of Space-Time Singularities
Author: C. J. S. Clarke
Publisher: Cambridge University Press
Total Pages: 196
Release: 1993
Genre: Science
ISBN: 9780521437967

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 Singular Universe and the Reality of Time

The Singular Universe and the Reality of Time
Author: Roberto Mangabeira Unger
Publisher: Cambridge University Press
Total Pages: 567
Release: 2015
Genre: Science
ISBN: 1107074061

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

30 Years of the Landau Institute

30 Years of the Landau Institute
Author: Isaak Markovich Khalatnikov
Publisher: World Scientific
Total Pages: 802
Release: 1996
Genre: Science
ISBN: 9789810222536

The Landau Institute for Theoretical Physics was created in 1965 by a group of LD Landau's pupils. Very soon, it was widely recognized as one of the world's leading centers in theoretical physics. According to Science Magazine, the Institute in the eighties had the highest citation index among all the scientific organizations in the former Soviet Union. This collection of the best papers of the Institute reflects the development of the many directions in the exact sciences during the last 30 years. The reader can find the original formulations of well-known notions in condensed matter theory, quantum field theory, mathematical physics and astrophysics, which were introduced by members of the Landau Institute.The following are some of the achievements described in this book: monopoles (A Polyakov), instantons (A Belavin et al.), weak crystallization (S Brazovskii), spin superfluidity (I Fomin), finite band potentials (S Novikov) and paraconductivity (A Larkin, L Aslamasov).

God: The Failed Hypothesis

God: The Failed Hypothesis
Author: Victor J. Stenger
Publisher: Prometheus Books
Total Pages: 310
Release: 2010-08-05
Genre: Science
ISBN: 161592003X

Throughout history, arguments for and against the existence of God have been largely confined to philosophy and theology, while science has sat on the sidelines. Despite the fact that science has revolutionized every aspect of human life and greatly clarified our understanding of the world, somehow the notion has arisen that it has nothing to say about the possibility of a supreme being, which much of humanity worships as the source of all reality. This book contends that, if God exists, some evidence for this existence should be detectable by scientific means, especially considering the central role that God is alleged to play in the operation of the universe and the lives of humans. Treating the traditional God concept, as conventionally presented in the Judeo-Christian and Islamic traditions, like any other scientific hypothesis, physicist Stenger examines all of the claims made for God's existence. He considers the latest Intelligent Design arguments as evidence of God's influence in biology. He looks at human behavior for evidence of immaterial souls and the possible effects of prayer. He discusses the findings of physics and astronomy in weighing the suggestions that the universe is the work of a creator and that humans are God's special creation. After evaluating all the scientific evidence, Stenger concludes that beyond a reasonable doubt the universe and life appear exactly as we might expect if there were no God. This paperback edition of the New York Times bestselling hardcover edition contains a new foreword by Christopher Hitchens and a postscript by the author in which he responds to reviewers' criticisms of the original edition.