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Titlebook: Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession; The Theory of Gyrogr Abraham A. Ungar Book 2001 Springer Science+Bus

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发表于 2025-3-21 17:12:52 | 显示全部楼层 |阅读模式
期刊全称Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession
期刊简称The Theory of Gyrogr
影响因子2023Abraham A. Ungar
视频video
学科分类Fundamental Theories of Physics
图书封面Titlebook: Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession; The Theory of Gyrogr Abraham A. Ungar Book 2001 Springer Science+Bus
影响因子"I cannot define coincidence [in mathematics]. But 1 shall argue that coincidence can always be elevated or organized into a superstructure which perfonns a unification along the coincidental elements. The existence of a coincidence is strong evidence for the existence of a covering theory. " -Philip 1. Davis [Dav81] Alluding to the Thomas gyration, this book presents the Theory of gy­ rogroups and gyrovector spaces, taking the reader to the immensity of hyper­ bolic geometry that lies beyond the Einstein special theory of relativity. Soon after its introduction by Einstein in 1905 [Ein05], special relativity theory (as named by Einstein ten years later) became overshadowed by the ap­ pearance of general relativity. Subsequently, the exposition of special relativity followed the lines laid down by Minkowski, in which the role of hyperbolic ge­ ometry is not emphasized. This can doubtlessly be explained by the strangeness and unfamiliarity of hyperbolic geometry [Bar98]. The aim of this book is to reverse the trend of neglecting the role of hy­ perbolic geometry in the special theory of relativity, initiated by Minkowski, by emphasizing the central role that hyperbolic geometry play
Pindex Book 2001
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发表于 2025-3-21 23:45:10 | 显示全部楼层
Internationalization and Global Citizenshipvector spaces but allow the exhibition of hyperbolic angles in a way which looks more natural to the Euclidean eye. The two dimensional Möbius gyrovector space governs the Poincaré disc model of hyperbolic geometry, also known as the conformal model of hyperbolic geometry.
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Internationalization and Global Citizenshiple form, we we will explore in this chapter the cocycle forms in abstract gyrocommutative gyrogroups. These will prove useful in the study of various Lorentz groups that result from the extension of various gyrocommutative gyrogroups with cocycle forms.
发表于 2025-3-22 12:04:36 | 显示全部楼层
Testing, Results and Interpretation,y of gyrogroups and gyrovector spaces. The theory of gyrogroups and gyrovector spaces provides a most natural generalization of its classical counterparts, the theory of groups and the theory of vector spaces. Readers who wish to start familiarizing themselves with the theory may, therefore, start r
发表于 2025-3-22 14:08:42 | 显示全部楼层
Cathleen Faber,Hans Gerhard Strohetraordinarily rich. We therefore extend it by abstraction thereby arriving at the notion of the gyrogroup, a concept which generalizes the notion of the group. The gyrogroup definition is modeled on the Einstein groupoid of relativistically admissible velocities and their Thomas precessions, where t
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发表于 2025-3-23 04:38:59 | 显示全部楼层
Internationalization and Global Citizenshipvector spaces but allow the exhibition of hyperbolic angles in a way which looks more natural to the Euclidean eye. The two dimensional Möbius gyrovector space governs the Poincaré disc model of hyperbolic geometry, also known as the conformal model of hyperbolic geometry.
发表于 2025-3-23 09:29:23 | 显示全部楼层
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