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Author : Martin Walker
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (378 download)
Download or read book Spacetime Structure from a Global Viewpoint written by Martin Walker and published by . This book was released on 1970* with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : JB Manchak
Publisher : Cambridge University Press
ISBN 13 : 1108890741
Total Pages : 92 pages
Book Rating : 4.1/5 (88 download)
Download or read book Global Spacetime Structure written by JB Manchak and published by Cambridge University Press. This book was released on 2020-12-03 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploration of the global structure of spacetime within the context of general relativity examines the causal and singular structures of spacetime, revealing some of the curious possibilities that are compatible with the theory, such as 'time travel' and 'holes' of various types. Investigations into the epistemic and modal structures of spacetime highlight the difficulties in ruling out such possibilities, unlikely as they may seem at first. The upshot seems to be that what counts as a 'physically reasonable' spacetime structure in modern physics is far from clear.
Author : Michael Heller
Publisher : World Scientific
ISBN 13 : 9814506036
Total Pages : 160 pages
Book Rating : 4.8/5 (145 download)
Download or read book Theoretical Foundations Of Cosmology: Introduction To The Global Structure Of Space-time written by Michael Heller and published by World Scientific. This book was released on 1992-04-15 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book's principal aim is to clarify fundamental concepts, decipher mathematical structures used to model space-time and relativistic worlds, and to disclose their physical meaning. After each chapter, philosophical implications of the presented material are commented upon.Both special and general theories of relativity are presented in the book with the stress on their global aspects. Although global mathematical methods are extensively used throughout the book, the definitions of new concepts, short comments and examples make reading smooth without the need to consult other textbooks or review papers.
Author : John Earman
Publisher : U of Minnesota Press
ISBN 13 : 0816657521
Total Pages : 482 pages
Book Rating : 4.8/5 (166 download)
Download or read book Foundations of Space-Time Theories written by John Earman and published by U of Minnesota Press. This book was released on 1977-11-25 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Space-Time Theories was first published in 1977. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The essays in this volume are based on the papers given at a conference on the philosophical aspects of the space-time theory held under the auspices of the Minnesota Center for Philosophy of Science.
Author : S. W. Hawking
Publisher : Cambridge University Press
ISBN 13 : 1139810952
Total Pages : 406 pages
Book Rating : 4.1/5 (398 download)
Download or read book The Large Scale Structure of Space-Time written by S. W. Hawking and published by Cambridge University Press. This book was released on 1975-02-27 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : David B. Malament
Publisher : University of Chicago Press
ISBN 13 : 0226502457
Total Pages : 363 pages
Book Rating : 4.2/5 (265 download)
Download or read book Topics in the Foundations of General Relativity and Newtonian Gravitation Theory written by David B. Malament and published by University of Chicago Press. This book was released on 2012-05-07 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. Topics is intended for both students and researchers in mathematical physics and philosophy of science.
Author : Peter G. Bergmann
Publisher : Springer
ISBN 13 : 1489936262
Total Pages : 289 pages
Book Rating : 4.4/5 (899 download)
Download or read book Topological Properties and Global Structure of Space-Time written by Peter G. Bergmann and published by Springer. This book was released on 2013-12-19 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Ninth Course of the International School of Cosmology and Gravita tion of the Ettore Majorana Centre for Scientific Culture is concerned with "Topological Properties and Global Structure of Space-Time." We consider this topic to possess great importance. Our choice has also been influenced by the fact that there are many quest ions as yet unre solved. Standard general relativity describes space-time as a four-dimensional pseudo-Riemannian manifold, but it does not prescribe its large-scale structure. Inorderto attempt answers to some topological questions, such as whether our universe is open or closed, whether it is orientable, and whether it is complete or possesses singularities, various theoretical approaches to global aspects of gravitational physics are presented here. As topological questions playa role in non-standard theories as weIl, it will be found that some of the lectures and seminar talks in this volume adopt the point of view of standard relativity, whereas others are based on different theories, such as Kaluza-Klein theories, bimetric theories, and supergravity. We have found it difficult to organize these papers into classes, say standard and non-standard theory, or models with and without singularities. One paper, by R. Reasenberg, is experimental. Its purpose was to give the theorists present an inkling of the opportunities, as weIl as the pitfalls, of experimental research in gravitational physics. Accordingly, we have arranged all contributions alphabetically, by ~first-named) author.
Author : Brian Leftow
Publisher : Cornell University Press
ISBN 13 : 1501731882
Total Pages : 394 pages
Book Rating : 4.5/5 (17 download)
Download or read book Time and Eternity written by Brian Leftow and published by Cornell University Press. This book was released on 2018-09-05 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brian Leftow makes an important contribution to the longstanding debate among philosophers and theologians about the nature of God's eternity. The author develops a powerful and original defense of the notion that God is eternal in that he exists timelessly; that is, that though God exists, he does not exist at any time. Leftow defends the claim that a timeless God can be an object of human experience, and he attempts to delineate the extent of such a God's omniscience. Finally, the author pays special attention to the relation between the claim that God is timeless and the claim that God is metaphysically simple.
Author : J. T. Fraser
Publisher : Springer Science & Business Media
ISBN 13 : 1461259479
Total Pages : 309 pages
Book Rating : 4.4/5 (612 download)
Download or read book The Study of Time IV written by J. T. Fraser and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Erwin Schrödinger
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.X/5 (1 download)
Download or read book Space-time Structure written by Erwin Schrödinger and published by . This book was released on 1963 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Abhay Ashtekar
Publisher : World Scientific
ISBN 13 : 9814479934
Total Pages : 528 pages
Book Rating : 4.8/5 (144 download)
Download or read book 100 Years Of Relativity: Space-time Structure - Einstein And Beyond written by Abhay Ashtekar and published by World Scientific. This book was released on 2005-11-22 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thanks to Einstein's relativity theories, our notions of space and time underwent profound revisions about a 100 years ago. The resulting interplay between geometry and physics has dominated all of fundamental physics since then. This volume contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century. Contributions here include summaries of radical changes in the notions of space and time that are emerging from quantum field theory in curved space-times (Ford), string theory (T Banks), loop quantum gravity (A Ashtekar), quantum cosmology (M Bojowald), discrete approaches (Dowker, Gambini and Pullin) and twistor theory (R Penrose).
Author : C.T. Dodson
Publisher : Springer Science & Business Media
ISBN 13 : 9401577765
Total Pages : 257 pages
Book Rating : 4.4/5 (15 download)
Download or read book Categories, Bundles and Spacetime Topology written by C.T. Dodson and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Gad in Crane Feathers' in R. Brown'The point of a Pin'. van Gulik's TheChinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging SUbdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : Roberto Torretti
Publisher : Elsevier
ISBN 13 : 1483147371
Total Pages : 409 pages
Book Rating : 4.4/5 (831 download)
Download or read book Relativity and Geometry written by Roberto Torretti and published by Elsevier. This book was released on 2014-05-20 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativity and Geometry aims to elucidate the motivation and significance of the changes in physical geometry brought about by Einstein, in both the first and the second phases of relativity. The book contains seven chapters and a mathematical appendix. The first two chapters review a historical background of relativity. Chapter 3 centers on Einstein's first Relativity paper of 1905. Subsequent chapter presents the Minkowskian formulation of special relativity. Chapters 5 and 6 deal with Einstein's search for general relativity from 1907 to 1915, as well as some aspects and subsequent developments of the theory. The last chapter explores the concept of simultaneity, geometric conventionalism, and a few other questions concerning space time structure, causality, and time.
Author : Hans Stephani
Publisher : Cambridge University Press
ISBN 13 : 9780521379410
Total Pages : 340 pages
Book Rating : 4.3/5 (794 download)
Download or read book General Relativity written by Hans Stephani and published by Cambridge University Press. This book was released on 1990-06-29 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an excellent introduction to the subjects of gravitation and space-time structure. It discusses the foundations of Riemann geometry; the derivation of Einstein field equations; linearised theory; far fields and gravitational waves; the invariant characterisation of exact solutions; gravitational collapse; cosmology as well as alternative gravitational theories and the problem of quantum gravity.
Author : Eleanor Knox
Publisher : Routledge
ISBN 13 : 131722714X
Total Pages : 787 pages
Book Rating : 4.3/5 (172 download)
Download or read book The Routledge Companion to Philosophy of Physics written by Eleanor Knox and published by Routledge. This book was released on 2021-09-28 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Routledge Companion to Philosophy of Physics is a comprehensive and authoritative guide to the state of the art in the philosophy of physics. It comprisess 54 self-contained chapters written by leading philosophers of physics at both senior and junior levels, making it the most thorough and detailed volume of its type on the market – nearly every major perspective in the field is represented. The Companion’s 54 chapters are organized into 12 parts. The first seven parts cover all of the major physical theories investigated by philosophers of physics today, and the last five explore key themes that unite the study of these theories. I. Newtonian Mechanics II. Special Relativity III. General Relativity IV. Non-Relativistic Quantum Theory V. Quantum Field Theory VI. Quantum Gravity VII. Statistical Mechanics and Thermodynamics VIII. Explanation IX. Intertheoretic Relations X. Symmetries XI. Metaphysics XII. Cosmology The difficulty level of the chapters has been carefully pitched so as to offer both accessible summaries for those new to philosophy of physics and standard reference points for active researchers on the front lines. An introductory chapter by the editors maps out the field, and each part also begins with a short summary that places the individual chapters in context. The volume will be indispensable to any serious student or scholar of philosophy of physics.
Author : John Byron Manchak
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (497 download)
Download or read book The Underdetermination of Global Spacetime Structure written by John Byron Manchak and published by . This book was released on 2009 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R.K. Sachs
Publisher : Springer Science & Business Media
ISBN 13 : 1461299039
Total Pages : 302 pages
Book Rating : 4.4/5 (612 download)
Download or read book General Relativity for Mathematicians written by R.K. Sachs and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler [I] go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics).
