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Space-time Structure

Space-time Structure PDF Author: Erwin 1887-1961 Schrödinger
Publisher: Hassell Street Press
ISBN: 9781014675033
Category :
Languages : en
Pages : 136

Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Space-time Structure

Space-time Structure PDF Author: Erwin 1887-1961 Schrödinger
Publisher: Hassell Street Press
ISBN: 9781014675033
Category :
Languages : en
Pages : 136

Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time PDF Author: S. W. Hawking
Publisher: Cambridge University Press
ISBN: 1139810952
Category : Science
Languages : en
Pages :

Book Description
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.

Physical Relativity

Physical Relativity PDF Author: Harvey R. Brown
Publisher: Clarendon Press
ISBN: 0191534706
Category : Science
Languages : en
Pages : 240

Book Description
Physical Relativity explores the nature of the distinction at the heart of Einstein's 1905 formulation of his special theory of relativity: that between kinematics and dynamics. Einstein himself became increasingly uncomfortable with this distinction, and with the limitations of what he called the 'principle theory' approach inspired by the logic of thermodynamics. A handful of physicists and philosophers have over the last century likewise expressed doubts about Einstein's treatment of the relativistic behaviour of rigid bodies and clocks in motion in the kinematical part of his great paper, and suggested that the dynamical understanding of length contraction and time dilation intimated by the immediate precursors of Einstein is more fundamental. Harvey Brown both examines and extends these arguments (which support a more 'constructive' approach to relativistic effects in Einstein's terminology), after giving a careful analysis of key features of the pre-history of relativity theory. He argues furthermore that the geometrization of the theory by Minkowski in 1908 brought illumination, but not a causal explanation of relativistic effects. Finally, Brown tries to show that the dynamical interpretation of special relativity defended in the book is consistent with the role this theory must play as a limiting case of Einstein's 1915 theory of gravity: the general theory of relativity. Appearing in the centennial year of Einstein's celebrated paper on special relativity, Physical Relativity is an unusual, critical examination of the way Einstein formulated his theory. It also examines in detail certain specific historical and conceptual issues that have long given rise to debate in both special and general relativity theory, such as the conventionality of simultaneity, the principle of general covariance, and the consistency or otherwise of the special theory with quantum mechanics. Harvey Brown' s new interpretation of relativity theory will interest anyone working on these central topics in modern physics.

Asymptotic Structure of Space-Time

Asymptotic Structure of Space-Time PDF Author: F. Esposito
Publisher: Springer Science & Business Media
ISBN: 1468423436
Category : Science
Languages : en
Pages : 447

Book Description
The Symposium on Asymptotic Structure of Space-Time (SOASST) was held at the University of Cincinnati, June 14-18, 1976. We had been thinking of organizing a symposium on the properties of "in finity" for several years. The subject had reached a stage of maturity and had also formed a basis for important current investi gations. It was felt that a symposium, together with a publication of the proceedings, would review, summarize, and consolidate, the more mature aspects of the field and serve as an appropriate intro duction to an expanding body of research. We had from the first the enthusiastic support and encouragement of many colleagues; with their cooperation and advice, the Symposium acquired its final form. These proceedings will attest to the value of the Symposium. The Symposium consisted of thirty lectures and had an attendance of approximately one hundred and thirty. The final impetus to our decision to go forward was the Bicen tennial Anniversary of the independence of our country. A most appropriate celebration on a University Campus surely is an intel lectual Symposium which pays honor to the histories and traditional purposes of a University. The Symposium was supported financially by the University of Cincinnatl Bicentennial Committee, the National Science Foundation, the Gravity Research Foundation, and by Armand Knoblaugh, Professor Emeritus of Physics of the University of Cincinnati.

Space, Time, and Stuff

Space, Time, and Stuff PDF Author: Frank Arntzenius
Publisher: Oxford University Press, USA
ISBN: 0198705913
Category : Philosophy
Languages : en
Pages : 297

Book Description
Frank Arntzenius presents a series of radical new ideas about the structure of space and time. Space, Time, and Stuff is an attempt to show that physics is geometry: that the fundamental structure of the physical world is purely geometrical structure. Along the way, he examines some non-standard views about the structure of spacetime and its inhabitants, including the idea that space and time are pointless, the idea that quantum mechanics is a completely local theory, the idea that antiparticles are just particles travelling back in time, and the idea that time has no structure whatsoever. The main thrust of the book, however, is that there are good reasons to believe that spaces other than spacetime exist, and that it is the existence of these additional spaces that allows one to reduce all of physics to geometry. Philosophy, and metaphysics in particular, plays an important role here: the assumption that the fundamental laws of physics are simple in terms of the fundamental physical properties and relations is pivotal. Without this assumption one gets nowhere. That is to say, when trying to extract the fundamental structure of the world from theories of physics one ignores philosophy at one's peril!

Space, Time and Architecture

Space, Time and Architecture PDF Author: Sigfried Giedion
Publisher: Harvard University Press
ISBN: 0674030478
Category : Architecture
Languages : en
Pages : 956

Book Description
"This new edition ensures that the book will continue to be internationally acknowledged as the standard work on the development of modern architecture." -Walter Gropius "A remarkable accomplishment. . . one of the most valuable reference books for students and professionals concerned with the reshaping of our environment. " -José Luis Sert A milestone in modern thought, Space, Time and Architecture has been reissued many times since its first publication in 1941 and translated into half a dozen languages. In this revised edition of Sigfried Giedion’s classic work, major sections have been added and there are 81 new illustrations. The chapters on leading contemporary architects have been greatly expanded. There is new material on the later development of Frank Lloyd Wright and the more recent buildings of Walter Gropius, particularly his American Embassy in Athens. In his discussion of Le Corbusier, Mr. Giedion provides detailed analyses of the Carpenter Center at Harvard University, Le Corbusier’s only building in the United States, and his Priory of La Tourette near Lyons. There is a section on his relations with his clients and an assessment of his influence on contemporary architecture, including a description of the Le Corbusier Center in Zurich (designed just before his death), which houses his works of art. The chapters on Mies van der Rohe and Alvar Aalto have been brought up to date with examples of their buildings in the sixties. There is an entirely new chapter on the Danish architect Jørn Utzon, whose work, as exemplified in his design for the Sydney Opera House, Mr. Giedion considers representative of post–World War II architectural concepts. A new essay, “Changing Notions of the City,” traces the evolution of the structure of the city throughout history and examines current attempts to deal with urban growth, as shown in the work of such architects as José Luis Sert, Kenzo Tange, and Fumihiko Maki. Mr. Sert’s Peabody Terrace is discussed as an example of the interlocking of the collective and individual spheres. Finally, the conclusion has been enlarged to include a survey of the limits of the organic in architecture.

Inertia and Gravitation

Inertia and Gravitation PDF Author: Herbert Pfister
Publisher: Springer
ISBN: 3319150367
Category : Science
Languages : en
Pages : 180

Book Description
This book focuses on the phenomena of inertia and gravitation, one objective being to shed some new light on the basic laws of gravitational interaction and the fundamental nature and structures of spacetime. Chapter 1 is devoted to an extensive, partly new analysis of the law of inertia. The underlying mathematical and geometrical structure of Newtonian spacetime is presented from a four-dimensional point of view, and some historical difficulties and controversies - in particular the concepts of free particles and straight lines - are critically analyzed, while connections to projective geometry are also explored. The relativistic extensions of the law of gravitation and its intriguing consequences are studied in Chapter 2. This is achieved, following the works of Weyl, Ehlers, Pirani and Schild, by adopting a point of view of the combined conformal and projective structure of spacetime. Specifically, Mach’s fundamental critique of Newton’s concepts of ‘absolute space’ and ‘absolute time’ was a decisive motivation for Einstein’s development of general relativity, and his equivalence principle provided a new perspective on inertia. In Chapter 3 the very special mathematical structure of Einstein’s field equations is analyzed, and some of their remarkable physical predictions are presented. By analyzing different types of dragging phenomena, Chapter 4 reviews to what extent the equivalence principle is realized in general relativity - a question intimately connected to the ‘new force’ of gravitomagnetism, which was theoretically predicted by Einstein and Thirring but which was only recently experimentally confirmed and is thus of current interest.

Space-Time Structure

Space-Time Structure PDF Author: Erwin Schrödinger
Publisher: Cambridge University Press
ISBN: 0521315204
Category : Science
Languages : en
Pages : 131

Book Description
Reprint of a classical book. First published in 1950, and reprinted in 1954 and 1960, this lucid and profound exposition of Einstein's 1915 theory of gravitation is still essential reading.

Quantum Space

Quantum Space PDF Author: Jim Baggott
Publisher: Oxford University Press
ISBN: 019253680X
Category : Science
Languages : en
Pages : 320

Book Description
Today we are blessed with two extraordinarily successful theories of physics. The first is Albert Einstein's general theory of relativity, which describes the large-scale behaviour of matter in a curved spacetime. This theory is the basis for the standard model of big bang cosmology. The discovery of gravitational waves at the LIGO observatory in the US (and then Virgo, in Italy) is only the most recent of this theory's many triumphs. The second is quantum mechanics. This theory describes the properties and behaviour of matter and radiation at their smallest scales. It is the basis for the standard model of particle physics, which builds up all the visible constituents of the universe out of collections of quarks, electrons and force-carrying particles such as photons. The discovery of the Higgs boson at CERN in Geneva is only the most recent of this theory's many triumphs. But, while they are both highly successful, these two structures leave a lot of important questions unanswered. They are also based on two different interpretations of space and time, and are therefore fundamentally incompatible. We have two descriptions but, as far as we know, we've only ever had one universe. What we need is a quantum theory of gravity. Approaches to formulating such a theory have primarily followed two paths. One leads to String Theory, which has for long been fashionable, and about which much has been written. But String Theory has become mired in problems. In this book, Jim Baggott describes ": an approach which takes relativity as its starting point, and leads to a structure called Loop Quantum Gravity. Baggott tells the story through the careers and pioneering work of two of the theory's most prominent contributors, Lee Smolin and Carlo Rovelli. Combining clear discussions of both quantum theory and general relativity, this book offers one of the first efforts to explain the new quantum theory of space and time.

The Emergence of Spacetime in String Theory

The Emergence of Spacetime in String Theory PDF Author: Tiziana Vistarini
Publisher: Routledge
ISBN: 1134842406
Category : Philosophy
Languages : en
Pages : 224

Book Description
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.