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

• Main Author: Ungar, Abraham A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Dordrecht : Springer Netherlands, 2002.
• Series: Fundamental Theories of Physics ; 117
• Subjects: Physics.; Nonassociative rings.; Rings (Algebra).; Geometry.; Observations, Astronomical.; Astronomy > Observations.; Theoretical, Mathematical and Computational Physics.; Astronomy, Observations and Techniques.; Non-associative Rings and Algebras.
• Online Access: View fulltext via EzAccess

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...

Table of Contents:

• Thomas Precession: The Missing Link
• Gyrogroups: Modeled on EinsteinỚ"S Addition
• The Einstein Gyrovector Space
• Hyperbolic Geometry of Gyrovector Spaces
• The Ungar Gyrovector Space
• The M©<U+0013>bius Gyrovector Space
• Gyrogeometry
• Gyrooprations Ớ the SL(2, c) Approach
• The Cocycle Form
• The Lorentz Group and its Abstraction
• The Lorentz Transformation Link
• Other Lorentz Groups.