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Einstein Gyrogroups

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Hyperbolic Triangle Centers

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 166))

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Abstract

Einstein’s addition law of three-dimensional relativistically admissible velocities is the corner stone of Einstein’s three-vector formalism of the special theory of relativity that he founded in 1905. In this chapter, we present Einstein addition along with its role in nonassociative algebra and hyperbolic geometry. We make no demands upon readers of this book as to a prior acquaintance with either special relativity, nonassociative algebra or hyperbolic geometry.

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Ungar, A.A. (2010). Einstein Gyrogroups. In: Hyperbolic Triangle Centers. Fundamental Theories of Physics, vol 166. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-8637-2_1

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