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Beyond the Einstein Addition Law and Its Gyroscopic Thomas Precession The Theory of Gyrogroups and Gyrovector Spaces

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ISBN-10: 1402003536

ISBN-13: 9781402003530

Edition: 2002

Authors: Abraham A. Ungar

List price: $169.00
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Description:

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 gyrocommunicative, gyroassociative gyrogroup operation in the same way that…    
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Book details

List price: $169.00
Copyright year: 2002
Publisher: Springer
Publication date: 11/30/2001
Binding: Paperback
Pages: 464
Size: 6.00" wide x 9.00" long x 1.00" tall
Weight: 1.430
Language: English

List of Figures
List of Tables
Preface
Acknowledgments
Introduction
Thomas Precession: The Missing Link
Gyrogroups: Modeled on Einstein's Addition
The Einstein Gyrovector Space
Hyperbolic Geometry of Gyrovector Spaces
The Ungar Gyrovector Space
The M�bius Gyrovector Space
Gyrogeometry
Gyrooperations - The SL(2,C) Approach
The Cocycle Form
The Lorentz Group and its Abstraction
The Lorentz Transformation Link
Other Lorentz Groups
References
About the Author Topic
Index Author
Index