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
Availability: OutOfStock
ISBN: 9780306471346

ISBN-10: 0306471345

ISBN-13: 9780306471346

Edition: 2002

Authors: A. A. Ungar

List price: $179.00

30 day, 100% satisfaction guarantee!

Out of stock

We're sorry. This item is currently unavailable.

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

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: $179.00
Copyright year: 2002
Publisher: Springer London, Limited
Publication date: 4/11/2006
Binding: E-Book
Pages: 464
Language: English

List of Figures
List of Tables
Preface
Acknowledgments
Introduction
Thomas Precession: The Missing Link	p. 1
Gyrogroups: Modeled on Einstein's Addition	p. 35
The Einstein Gyrovector Space	p. 73
Hyperbolic Geometry of Gyrovector Spaces	p. 95
The Ungar Gyrovector Space	p. 141
The Mobius Gyrovector Space	p. 161
Gyrogeometry	p. 211
Gyrooperations - The SL (2, C) Approach	p. 253
The Cocycle Form	p. 279
The Lorentz Group and its Abstraction	p. 313
The Lorentz Transformation Link	p. 329
Other Lorentz Groups	p. 371
References	p. 381
About the Author	p. 403
Topic Index	p. 405
Author Index	p. 411
Table of Contents provided by Blackwell. All Rights Reserved.