Titlebook: Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession; The Theory of Gyrogr Abraham A. Ungar Book 2001 Springer Science+Bus

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Thomas Precession: The Missing Link,arts, the theory of groups and the theory of vector spaces. Readers who wish to start familiarizing themselves with the theory may, therefore, start reading this book from its second chapter and return to the first chapter only if and when their curiosity about the origin of the Thomas precession arises.

Robust

The Ungar Gyrovector Space,ity through more than a single model. In this chapter we propose to study special relativity in terms of proper velocities, which are determined by proper time ., leading us to consider a new, interesting model of hyperbolic geometry.

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Other Lorentz Groups,andard Lorentz group of special relativity theory, is presented in Chapter 10. In this chapter we will present a nonstandard Lorentz group, which is based on the Ungar gyrogroup of relativity velocities.

Implicit

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The Einstein Gyrovector Space,ctors are represented. We close the chapter with the observation that the unique hyperbolic ‘straight line’ called a geodesic, passing through two given points a, b ∈ V. is the set of all points .of V., t ∈ ℝ, ⊖.a = −a, which is analogous to its counterpart in Euclidean analytic geometry.

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