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

Name: Beyond the Einstein Addition Law and Its Gyroscopic Thomas Precession The Theory of Gyrogroups and Gyrovector Spaces
Price: 109.99 USD
Availability: InStock
ISBN: 9781402003530

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…

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 Mï¿½bius 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