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Titlebook: Geometry of the Fundamental Interactions; On Riemann‘s Legacy M. D. Maia Book 2011 Springer Science+Business Media, LLC 2011 Minkowski‘s s

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书目名称Geometry of the Fundamental Interactions
副标题On Riemann‘s Legacy
编辑M. D. Maia
视频video
概述Explains some of the most complex theories in physics in clear and understandable language.Provides comprehensive information about three of the four fundamental forces of nature.Offers an explanation
图书封面Titlebook: Geometry of the Fundamental Interactions; On Riemann‘s Legacy  M. D. Maia Book 2011 Springer Science+Business Media, LLC 2011 Minkowski‘s s
描述.The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of mankind to understand nature. The discovery of gauge fields and their properties is the most formidable landmark of modern physics. The expression of the gauge field strength as the curvature associated to a given connection, places quantum field theory in the same geometrical footing as the gravitational field of general relativity which is naturally written in geometrical terms. The understanding of such geometrical property may help one day to write a unified field theory starting from symmetry principles. .Of course, there are remarkable differences between the standard gauge fields and the gravitational field, which must be understood by mathematicians and physicists before attempting such unification. In particular, it is important to understand why gravitation is not a standard gauge field..This book presents an account of the geometrical properties of gauge field theory, while trying to keep the equilibrium between mathematics and physics. At the end we will introduce a similar
出版日期Book 2011
关键词Minkowski‘s space time; Newton‘s space-time; Yang-Mills theory; coordinate symmetries; fiber bundles; noe
版次1
doihttps://doi.org/10.1007/978-1-4419-8273-5
isbn_softcover978-1-4899-9024-2
isbn_ebook978-1-4419-8273-5
copyrightSpringer Science+Business Media, LLC 2011
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The Physical Manifold,The basic concept of a physical space was formulated by Kant in his Critique of Pure reason 1781, where he used the word . to describe the set of all . [42]. Except for the lack of specification of a geometry and of the measurement conditions, Kant’s concept of physical space is very close to our present notion of space–time.
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Herbert Stein,Wolfgang Stein,Andreas Erkensatter, but it is not impossible that some other force will assume such fundamental role in the future. However, not everyone agrees that there are compelling evidences for such assumption, at least within a simple and understandable argument in the Occam sense. Indeed, recent cosmological evidences
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https://doi.org/10.1007/978-3-322-92392-9with the notions of physical space and of symmetry groups, the observables and the conditions of observations complete the basic elements of a physical theory..The observables themselves are usually invariant quantities in the sense that they can be measurable by different observers in different tim
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,Das pneumatische Relativlängenmeßverfahren,dinates are no longer enumerable. A simple but very intuitive example is given in [55, 82]..We emphasize what we have already said in Chapter 1: Point particles do not exist as a physically observable object, carrying mass, charge, momentum, spin, and other attributes in space–time. Regardless of th
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