| 期刊全稱 | Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession | | 期刊簡稱 | The Theory of Gyrogr | | 影響因子2023 | Abraham A. Ungar | | 視頻video | http://file.papertrans.cn/186/185326/185326.mp4 | | 學(xué)科分類 | Fundamental Theories of Physics | | 圖書封面 |  | | 影響因子 | Evidence that Einstein‘s addition is regulated by the Thomas precession has come to light, turning the notorious Thomas precession, previously considered the ugly duckling of special relativity theory, into the beautiful swan of gyrogroup and gyrovector space theory, where it has been extended by abstraction into an automorphism generator, called the .Thomas gyration.. The Thomas gyration, in turn, allows the introduction of vectors into hyperbolic geometry, where they are called .gyrovectors., in such a way that Einstein‘s velocity additions turns out to be a gyrovector addition. Einstein‘s addition thus becomes a gyrocommutative, gyroassociative gyrogroup operation in the same way that ordinary vector addition is a commutative, associative group operation. Some gyrogroups of gyrovectors admit scalar multiplication, giving rise to gyrovector spaces in the same way that some groups of vectors that admit scalar multiplication give rise to vector spaces. Furthermore, gyrovector spaces form the setting for hyperbolic geometry in the same way that vector spaces form the setting for Euclidean geometry. In particular, the gyrovector space with gyrovector addition given by Einstein‘s (M?b | | Pindex | Book 2002 |
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