| Beyond the Einstein Addition Law and Its Gyroscopic Thomas Precession: The Theory of Gyrogroups and Gyrovector Spaces Contributor(s): Ungar, Abraham A. (Author) |
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ISBN: 0792369106 ISBN-13: 9780792369103 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: March 2001 |
| Additional Information |
| BISAC Categories: - Science | Physics - Relativity - Mathematics | Geometry - Non-euclidean - Science | Physics - Mathematical & Computational |
| Dewey: 530.11 |
| Series: Fundamental Theories of Physics |
| Physical Information: 0.94" H x 6.14" W x 9.21" (1.42 lbs) 419 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: "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 plays in the theory. |