Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession: The Theory of Gyrogroups and Gyrovector Spaces
Posted on 2012-01-02. By anonymous.
S..ger | 2001 | ISBN: 1402003536, 0792369092 | PDF | 464 pages | PDF | 5,1 MB
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 (MÃ¶bius') addition forms the setting for the Beltrami (PoincarÃ©) ball model of hyperbolic geometry. The gyrogroup-theoretic techniques developed in this book for use in relativity physics and in hyperbolic geometry allow one to solve old and new important problems in relativity physics. A case in point is Einstein's 1905 view of the Lorentz length contraction, which was contradicted in 1959 by Penrose, Terrell and others. The application of gyrogroup-theoretic techniques clearly tilt the balance in favor of Einstein.
- Ebooks list page : 16705
- 2017-10-08[PDF] Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession: The Theory of Gyrogroups and Gyrovector Spaces (Fundamental Theories of Physics)
- 2013-06-21Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession: The Theory of Gyrogroups and Gyrovector Spaces (Repost)
- 2012-01-18Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession: The Theory of Gyrogroups and Gyrovector Spaces - Abraham A. Ungar
- 2012-01-17Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession: The Theory of Gyrogroups and Gyrovector Spaces - Abraham A. Ungar
- 2012-01-06Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession: The Theory of Gyrogroups and Gyrovector Spaces - Abraham A. Ungar
- 2012-03-04| Peter Grant, "The Business of Giving: The Theory and Practice of Philanthropy, Grantmaking and Social Investment" - Removed
- 2011-12-31The Theory of Permutable Functions by Vito Volterra
- 2011-09-11"The Theory of Permutable Functions" by Vito Volterra
- 2019-01-28The Global Society and Its Enemies Liberal Order Beyond the Third World War
- 2018-11-22Beyond the Second Law Entropy Production and Non-equilibrium Systems
- 2018-02-01[PDF] How Marriage Became One of the Sacraments: The Sacramental Theology of Marriage from its Medieval Origins to the Council of Trent (Law and Christianity)
- 2018-01-25[PDF] Reconciling Law and Morality in Human Rights Discourse: Beyond the Habermasian Account of Human Rights (Philosophy and Politics - Critical Explorations) - Removed
- 2018-01-15[PDF] Global Order Beyond Law: How Information and Communucation Technologies Facilitate Relational Contracting in International Trade (International Studies in the Theory of Private Law)
- 2018-01-05[PDF] Gone Beyond: The Prajnaparamita Sutras The Ornament Of Clear Realization And Its Commentaries In The Tibetan Kagyu Tradition (Tsadra)
- 2017-12-23[PDF] Gone Beyond: The Prajnaparamita Sutras, The Ornament of Clear Realization, and Its Commentaries in the Tibetan Kagyu Tradition, Vol. 2
- 2017-12-23[PDF] Criminality and Narrative in Eighteenth-Century England: Beyond the Law
- 2017-12-09[PDF] Law Of Attraction: Metaphysics and Beyond: The Magic Of Creating Reality (Ascension Series Book 3)
- 2017-11-28[PDF] Marriage Advice for a Pope: John XXII and the Power to Dissolve (Medieval Law and Its Practice) (Latin Edition)
- 2017-11-19[PDF] The Health of Nations: Society and Law beyond the State
- Download links and password may be in the description section, read description carefully!
- Do a search to find mirrors if no download links or dead links.