Topics In The Foundations Of General Relativity And Newtonian Gravitation Theory

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Topics In The Foundations Of General Relativity And Newtonian Gravitation Theory
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Author : David B. Malament
language : en
Publisher: University of Chicago Press
Release Date : 2012-05-07
Topics In The Foundations Of General Relativity And Newtonian Gravitation Theory written by David B. Malament and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-07 with Mathematics categories.
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.
Topics In The Foundations Of General Relativity And Newtonian Gravitation Theory
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Author : David B. Malament
language : en
Publisher: University of Chicago Press
Release Date : 2012-04-02
Topics In The Foundations Of General Relativity And Newtonian Gravitation Theory written by David B. Malament and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-02 with Science categories.
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.
Foundations Of General Relativity
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Author : Klaas Landsman
language : en
Publisher: Radboud University Press
Release Date : 2021-10-08
Foundations Of General Relativity written by Klaas Landsman and has been published by Radboud University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-08 with Science categories.
This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory.
The Oxford Handbook Of Philosophy Of Physics
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Author : Robert W. Batterman
language : en
Publisher: Oxford University Press
Release Date : 2013-01-04
The Oxford Handbook Of Philosophy Of Physics written by Robert W. Batterman and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-04 with Science categories.
This Oxford Handbook provides an overview of many of the topics that currently engage philosophers of physics. It surveys new issues and the problems that have become a focus of attention in recent years. It also provides up-to-date discussions of the still very important problems that dominated the field in the past. In the late 20th Century, the philosophy of physics was largely focused on orthodox Quantum Mechanics and Relativity Theory. The measurement problem, the question of the possibility of hidden variables, and the nature of quantum locality dominated the literature on the quantum mechanics, whereas questions about relationalism vs. substantivalism, and issues about underdetermination of theories dominated the literature on spacetime. These issues still receive considerable attention from philosophers, but many have shifted their attentions to other questions related to quantum mechanics and to spacetime theories. Quantum field theory has become a major focus, particularly from the point of view of algebraic foundations. Concurrent with these trends, there has been a focus on understanding gauge invariance and symmetries. The philosophy of physics has evolved even further in recent years with attention being paid to theories that, for the most part, were largely ignored in the past. For example, the relationship between thermodynamics and statistical mechanics---once thought to be a paradigm instance of unproblematic theory reduction---is now a hotly debated topic. The implicit, and sometimes explicit, reductionist methodology of both philosophers and physicists has been severely criticized and attention has now turned to the explanatory and descriptive roles of "non-fundamental,'' phenomenological theories. This shift of attention includes "old'' theories such as classical mechanics, once deemed to be of little philosophical interest. Furthermore, some philosophers have become more interested in "less fundamental'' contemporary physics such as condensed matter theory. Questions abound with implications for the nature of models, idealizations, and explanation in physics. This Handbook showcases all these aspects of this complex and dynamic discipline.
The Routledge Companion To Philosophy Of Physics
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Author : Eleanor Knox
language : en
Publisher: Routledge
Release Date : 2021-09-28
The Routledge Companion To Philosophy Of Physics written by Eleanor Knox and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-28 with Philosophy categories.
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.
General Relativity Conflict And Rivalries
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Author : Galina Weinstein
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2016-01-14
General Relativity Conflict And Rivalries written by Galina Weinstein and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-14 with Science categories.
This book focuses on Albert Einstein and his interactions with, and responses to, various scientists, both famous and lesser-known. It takes as its starting point that the discussions between Einstein and other scientists all represented a contribution to the edifice of general relativity and relativistic cosmology. These scientists with whom Einstein implicitly or explicitly interacted form a complicated web of collaboration, which this study explores, focusing on their implicit and explicit responses to Einstein’s work. This analysis uncovers latent undercurrents, indiscernible to other approaches to tracking the intellectual pathway of Einstein to his general theory of relativity. The interconnections and interactions presented here reveal the central figures who influenced Einstein during this intellectual period. Despite current approaches to history presupposing that the efforts of scientists such as Max Abraham and Gunnar Nordström, which differed from Einstein’s own views, be relegated to the background, this book shows that they all had an impact on the development of Einstein’s theories, stressing the limits of approaches focusing solely on Einstein. As such, General Relativity Conflict and Rivalries proves that the general theory of relativity was not developed as a single, coherent construction by an isolated, brooding individual, but, rather, that it came to fruition through Einstein’s conflicts and interactions with other scientists, and was consolidated by his creative processes during these exchanges.
Background Independence In Classical And Quantum Gravity
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Author : James Read
language : en
Publisher: Oxford University Press
Release Date : 2024-02
Background Independence In Classical And Quantum Gravity written by James Read and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02 with Philosophy categories.
It is often claimed that any quantum theory of gravity needs its defining equations to be independent of a particular spacetime geometry. James Read illuminates our understanding of background independence by mapping its possible definitions and assessing how various classical and quantum theories of gravity fare on these criteria.
Hajnal Andr Ka And Istv N N Meti On Unity Of Science
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Author : Judit Madarász
language : en
Publisher: Springer Nature
Release Date : 2021-05-31
Hajnal Andr Ka And Istv N N Meti On Unity Of Science written by Judit Madarász and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-31 with Philosophy categories.
This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.
Categories For The Working Philosopher
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Author : Elaine M. Landry
language : en
Publisher: Oxford University Press
Release Date : 2017
Categories For The Working Philosopher written by Elaine M. Landry and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.
This is the first volume on category theory for a broad philosophical readership. It is designed to show the interest and significance of category theory for a range of philosophical interests: mathematics, proof theory, computation, cognition, scientific modelling, physics, ontology, the structure of the world. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, in an accessible waythat builds on the concepts that are already familiar to philosophers working in these areas.
A Companion To Atheism And Philosophy
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Author : Graham Oppy
language : en
Publisher: John Wiley & Sons
Release Date : 2019-03-22
A Companion To Atheism And Philosophy written by Graham Oppy and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-22 with Philosophy categories.
PROSE 2020 Single Volume Reference Finalist! Philosophers throughout history have debated the existence of gods, but it is only in recent years that the absence of such a belief has become a significant topic of philosophical analysis, in particular for philosophers of religion. Although it is difficult to trace the historical contours of atheism as the lack of belief in a higher power, the reasoned, reflective, and thoughtful rejection of theism has become commonplace in many modern intellectual circles, including academic philosophy where disciplinary data indicates that a large majority of philosophers self-identify as atheists. As the first book of its kind to bring together a collection of writing on the philosophical aspects of atheism both historical and contemporary, the Companion to Atheism and Philosophy stages an explicit, constructive, and comprehensive conversation between philosophy and atheism to examine the ways in which atheist thought intersects with ideas and positions from a variety of philosophical and theological sub-disciplines. The Companion begins by addressing the foundational questions and lingering controversies which underpin philosophical thought about atheism, exploring the implications of major developments in the history of philosophy for the modern atheistic worldview. Divided into eight distinct sections, essays consider a range of thinkers who were widely believed to have been atheists—including David Hume, Mary Wollstonecraft, Karl Marx, and Elizabeth Cady Stanton—and survey different kinds of objections to theism and atheism, including logical, evidential, normative, and prudential. Later chapters trace the relationship between atheism and metaphysics, epistemology, ethics, and political philosophy oriented around topics such as pragmatism, postmodernism, freedom, education, violence, and happiness. Deftly curated and thoughtfully composed, A Companion to Atheism and Philosophy is the most ambitious and authoritative account of philosophical thinking on atheism available, and is a first-rate resource for academics, professionals, and students of philosophy, religious studies, and theology.