The Emergence of Spacetime in String Theory
The Emergence of Spacetime in String Theory

Author: Tiziana Vistarini

Publisher: Routledge

Published: 2019-06-12

Total Pages: 241

ISBN-13: 1134842406

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The nature of space and time is one of the most fascinating and fundamental philosophical issues which presently engages at the deepest level with physics. During the last thirty years this notion has been object of an intense critical review in the light of new scientific theories which try to combine the principles of both general relativity and quantum theory—called theories of quantum gravity. This book considers the way string theory shapes its own account of spacetime disappearance from the fundamental level.

The Large Scale Structure of Space-Time
The Large Scale Structure of Space-Time

Author: S. W. Hawking

Publisher: Cambridge University Press

Published: 1975-02-27

Total Pages: 406

ISBN-13: 1139810952

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Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

Space, Time, and Spacetime
Space, Time, and Spacetime

Author: Lawrence Sklar

Publisher: Univ of California Press

Published: 2023-07-28

Total Pages: 438

ISBN-13: 0520340701

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In this book, Lawrence Sklar demonstrates the interdependence of science and philosophy by examining a number of crucial problems on the nature of space and time—problems that require for their resolution the resources of philosophy and of physics. The overall issues explored are our knowledge of the geometry of the world, the existence of spacetime as an entity over and above the material objects of the world, the relation between temporal order and causal order, and the problem of the direction of time. Without neglecting the most subtle philosophical points or the most advanced contributions of contemporary physics, the author has taken pains to make his explorations intelligible to the reader with no advanced training in physics, mathematics, or philosophy. The arguments are set forth step-by-step, beginning from first principles; and the philosophical discussions are supplemented in detail by nontechnical expositions of crucial features of physical theories.

Marking the Centenary of Samuel Alexander's Space, Time and Deity
Marking the Centenary of Samuel Alexander's Space, Time and Deity

Author: A.R.J. Fisher

Publisher: Springer Nature

Published: 2021-06-04

Total Pages: 245

ISBN-13: 3030651215

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This book is an edited collection of essays in celebration of the centenary of Samuel Alexander’s Space, Time and Deity, published in 1920. Samuel Alexander (1859-1938) was a leading figure of British philosophy in the early twentieth century. He was partly responsible for the ‘new realism’ movement along with G.E. Moore and Bertrand Russell. However, his work has been overlooked in developments of twentieth century philosophy and yet his theories and style of theorising are in vogue. This book begins with three previously unpublished papers by Alexander that shed light on his metaphysical commitments about time, universals, God, knowledge of past truths, grounding, and inference in logic and science. There are also two important posthumous chapters by philosophers of the mid-twentieth century, who elaborate on his life and most significant contributions. The second half of the book contains new essays by current scholars, discussing Alexander on metaphysical realism, idealism, naturalism, space and time, process ontology, ontological categories, epistemology, perception, philosophy of history, emergentism, and empiricism.

Spacetime
Spacetime

Author: Marcus Kriele

Publisher: Springer Science & Business Media

Published: 2003-07-01

Total Pages: 444

ISBN-13: 3540483543

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One of the most of exciting aspects is the general relativity pred- tion of black holes and the Such Big Bang. predictions gained weight the theorems through Penrose. singularity pioneered In various by te- books on theorems general relativity singularity are and then presented used to that black holes exist and that the argue universe started with a To date what has big been is bang. a critical of what lacking analysis these theorems predict-’ We of really give a proof a typical singul- theorem and this ity use theorem to illustrate problems arising through the of possibilities violations" and "causality weak "shell very crossing These singularities". add to the problems weight of view that the point theorems alone singularity are not sufficient to the existence of predict physical singularities. The mathematical theme of the book In order to both solid gain a of and intuition understanding good for any mathematical theory, one,should to realise it as model of try a a fam- iar non-mathematical theories have had concept. Physical an especially the important on of and impact development mathematics, conversely various modern theories physical rather require sophisticated mathem- ics for their formulation. both and mathematics Today, physics are so that it is often difficult complex to master the theories in both very s- in the of jects. However, case differential pseudo-Riemannian geometry or the general relativity between and mathematics relationship physics is and it is therefore especially close, to from interd- possible profit an ciplinary approach.

Understanding Space-Time
Understanding Space-Time

Author: Robert DiSalle

Publisher: Cambridge University Press

Published: 2006-04-27

Total Pages: 204

ISBN-13: 9781139452663

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Presenting the history of space-time physics, from Newton to Einstein, as a philosophical development DiSalle reflects our increasing understanding of the connections between ideas of space and time and our physical knowledge. He suggests that philosophy's greatest impact on physics has come about, less by the influence of philosophical hypotheses, than by the philosophical analysis of concepts of space, time and motion, and the roles they play in our assumptions about physical objects and physical measurements. This way of thinking leads to interpretations of the work of Newton and Einstein and the connections between them. It also offers ways of looking at old questions about a priori knowledge, the physical interpretation of mathematics, and the nature of conceptual change. Understanding Space-Time will interest readers in philosophy, history and philosophy of science, and physics, as well as readers interested in the relations between physics and philosophy.

Space, Time, and Mechanics
Space, Time, and Mechanics

Author: D. Mayr

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 264

ISBN-13: 9400979479

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In connection with the "Philosophy of Science" research program conducted by the Deutsche Forschungsgemeinschaft a colloquium was held in Munich from 18th to 20th May 1919. This covered basic structures of physical theories, the main emphasis being on the interrelation of space, time and mechanics. The present volume contains contributions and the results of the discussions. The papers are given here in the same order of presentation as at the meeting. The development of these "basic structures of physical theories" involved diverging trends arising from different starting points in philosophy and physics. In order to obtain a clear comparison between these schools of thought, it was appropriate to concentrate discussion on geometry and chronology as the common foundation of classical and quantum mechanics. As a rather simple and "Tell prepared field of study, geochronometry seemed suited to analysing these mutually exclusive positions. vii D. Mayr and G. Sussmann (eds.), Space, Time, and Mechanics, vii. Copyright © 1983 by D. Reidel Publishing Company. ACKNOWLEDGEMENT The editors gratefully appreciate the sponsorship of the Deutsche Forschungsgemeinschaft and the cooperation of the authors and publisher. It is also a pleasure to thank Frau M.-L. Grohmann and Frau I. Thies for their organisational and especially Frau B. Grund for typing and clerical work. D. MAYR G. SUSSMANN 1982 University of Munich viii INTRODUCTION The distinct positions present at the symposium may be roughly divided into three schools that differ in their philosophical interpretation of physics and their meta- .. . ~ .

Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations
Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations

Author: Jérémie Szeftel

Publisher: Princeton University Press

Published: 2020-12-15

Total Pages: 858

ISBN-13: 0691212430

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Essential mathematical insights into one of the most important and challenging open problems in general relativity—the stability of black holes One of the major outstanding questions about black holes is whether they remain stable when subject to small perturbations. An affirmative answer to this question would provide strong theoretical support for the physical reality of black holes. In this book, Sergiu Klainerman and Jérémie Szeftel take a first important step toward solving the fundamental black hole stability problem in general relativity by establishing the stability of nonrotating black holes—or Schwarzschild spacetimes—under so-called polarized perturbations. This restriction ensures that the final state of evolution is itself a Schwarzschild space. Building on the remarkable advances made in the past fifteen years in establishing quantitative linear stability, Klainerman and Szeftel introduce a series of new ideas to deal with the strongly nonlinear, covariant features of the Einstein equations. Most preeminent among them is the general covariant modulation (GCM) procedure that allows them to determine the center of mass frame and the mass of the final black hole state. Essential reading for mathematicians and physicists alike, this book introduces a rich theoretical framework relevant to situations such as the full setting of the Kerr stability conjecture.