Quanta, Logic And Spacetime (2nd Edition)

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Release : 2003-12-04
Genre : Mathematics
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Book Rating : 621/5 ( reviews)

Quanta, Logic And Spacetime (2nd Edition) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quanta, Logic And Spacetime (2nd Edition) write by Stephen A Selesnick. This book was released on 2003-12-04. Quanta, Logic And Spacetime (2nd Edition) available in PDF, EPUB and Kindle. In this expanded edition of Quanta, Logic and Spacetime, the logical base is greatly broadened and quantum-computational aspects of the approach are brought to the fore. The first two parts of this edition may indeed be regarded as providing a self-contained and logic-based foundation for — and an introduction to — the enterprise known as quantum computing.The rest of the work takes on the task (as in the first edition) of computing from first principles certain dynamical expressions which turn out to compare favorably with the Lagrangian densities of the (massless) Standard Model, including gravity. The logic of this process is now subject to greater formal rigor than was possible in the first edition, and the central thesis — that quantum physics at a fundamental level may itself be realized as a species of quantum computation — is strongly underscored.

Modern Differential Geometry in Gauge Theories

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Release : 2009-10-22
Genre : Mathematics
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Book Rating : 345/5 ( reviews)

Modern Differential Geometry in Gauge Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Differential Geometry in Gauge Theories write by Anastasios Mallios. This book was released on 2009-10-22. Modern Differential Geometry in Gauge Theories available in PDF, EPUB and Kindle. Original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable

Physics and Speculative Philosophy

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Release : 2016-02-22
Genre : Philosophy
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Book Rating : 816/5 ( reviews)

Physics and Speculative Philosophy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Physics and Speculative Philosophy write by Timothy E. Eastman. This book was released on 2016-02-22. Physics and Speculative Philosophy available in PDF, EPUB and Kindle. Through both an historical and philosophical analysis of the concept of possibility, we show how including both potentiality and actuality as part of the real is both compatible with experience and contributes to solving key problems of fundamental process and emergence. The book is organized into four main sections that incorporate our routes to potentiality: (1) potentiality in modern science [history and philosophy; quantum physics and complexity]; (2) Relational Realism [ontological interpretation of quantum physics; philosophy and logic]; (3) Process Physics [ontological interpretation of relativity theory; physics and philosophy]; (4) on speculative philosophy and physics [limitations and approximations; process philosophy]. We conclude that certain fundamental problems in modern physics require complementary analyses of certain philosophical and metaphysical issues, and that such scholarship reveals intrinsic features and limits of determinism, potentiality and emergence that enable, among others, important progress on the quantum theory of measurement problem and new understandings of emergence.

Foundations of Relational Realism

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Release : 2013-06-20
Genre : Philosophy
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Book Rating : 339/5 ( reviews)

Foundations of Relational Realism - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foundations of Relational Realism write by Michael Epperson. This book was released on 2013-06-20. Foundations of Relational Realism available in PDF, EPUB and Kindle. If there is a central conceptual framework that has reliably borne the weight of modern physics as it ascends into the twenty-first century, it is the framework of quantum mechanics. Because of its enduring stability in experimental application, physics has today reached heights that not only inspire wonder, but arguably exceed the limits of intuitive vision, if not intuitive comprehension. For many physicists and philosophers, however, the currently fashionable tendency toward exotic interpretation of the theoretical formalism is recognized not as a mark of ascent for the tower of physics, but rather an indicator of sway—one that must be dampened rather than encouraged if practical progress is to continue. In this unique two-part volume, designed to be comprehensible to both specialists and non-specialists, the authors chart out a pathway forward by identifying the central deficiency in most interpretations of quantum mechanics: That in its conventional, metrical depiction of extension, inherited from the Enlightenment, objects are characterized as fundamental to relations—i.e., such that relations presuppose objects but objects do not presuppose relations. The authors, by contrast, argue that quantum mechanics exemplifies the fact that physical extensiveness is fundamentally topological rather than metrical, with its proper logico-mathematical framework being category theoretic rather than set theoretic. By this thesis, extensiveness fundamentally entails not only relations of objects, but also relations of relations. Thus, the fundamental quanta of quantum physics are properly defined as units of logico-physical relation rather than merely units of physical relata as is the current convention. Objects are always understood as relata, and likewise relations are always understood objectively. In this way, objects and relations are coherently defined as mutually implicative. The conventional notion of a history as “a story about fundamental objects” is thereby reversed, such that the classical “objects” become the story by which we understand physical systems that are fundamentally histories of quantum events. These are just a few of the novel critical claims explored in this volume—claims whose exemplification in quantum mechanics will, the authors argue, serve more broadly as foundational principles for the philosophy of nature as it evolves through the twenty-first century and beyond.

Differential Sheaves And Connections: A Natural Approach To Physical Geometry

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Release : 2015-09-17
Genre : Mathematics
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Book Rating : 48X/5 ( reviews)

Differential Sheaves And Connections: A Natural Approach To Physical Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Sheaves And Connections: A Natural Approach To Physical Geometry write by Anastasios Mallios. This book was released on 2015-09-17. Differential Sheaves And Connections: A Natural Approach To Physical Geometry available in PDF, EPUB and Kindle. This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to 'physical geometry'. In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums.