Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession: The Theory of Gyrogroups and Gyrovector Spaces
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2001
|
| Schriftenreihe: | Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application
117 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | "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 |
| Beschreibung: | 1 Online-Ressource (XLII, 419 p) |
| ISBN: | 9789401091220 9780792369103 |
| DOI: | 10.1007/978-94-010-9122-0 |
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Datensatz im Suchindex
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| indexdate | 2024-07-10T01:20:58Z |
| institution | BVB |
| isbn | 9789401091220 9780792369103 |
| language | English |
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| series2 | Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application |
| spelling | Ungar, Abraham A. Verfasser aut Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession The Theory of Gyrogroups and Gyrovector Spaces by Abraham A. Ungar Dordrecht Springer Netherlands 2001 1 Online-Ressource (XLII, 419 p) txt rdacontent c rdamedia cr rdacarrier Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application 117 "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 Physics Theoretical, Mathematical and Computational Physics https://doi.org/10.1007/978-94-010-9122-0 Verlag Volltext |
| spellingShingle | Ungar, Abraham A. Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession The Theory of Gyrogroups and Gyrovector Spaces Physics Theoretical, Mathematical and Computational Physics |
| title | Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession The Theory of Gyrogroups and Gyrovector Spaces |
| title_auth | Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession The Theory of Gyrogroups and Gyrovector Spaces |
| title_exact_search | Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession The Theory of Gyrogroups and Gyrovector Spaces |
| title_full | Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession The Theory of Gyrogroups and Gyrovector Spaces by Abraham A. Ungar |
| title_fullStr | Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession The Theory of Gyrogroups and Gyrovector Spaces by Abraham A. Ungar |
| title_full_unstemmed | Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession The Theory of Gyrogroups and Gyrovector Spaces by Abraham A. Ungar |
| title_short | Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession |
| title_sort | beyond the einstein addition law and its gyroscopic thomas precession the theory of gyrogroups and gyrovector spaces |
| title_sub | The Theory of Gyrogroups and Gyrovector Spaces |
| topic | Physics Theoretical, Mathematical and Computational Physics |
| topic_facet | Physics Theoretical, Mathematical and Computational Physics |
| url | https://doi.org/10.1007/978-94-010-9122-0 |
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