Abstract
The success of the use of Einstein addition along with Einstein velocity dependent relativistic mass in the determination of various hyperbolic triangle centers is demonstrated in this book. But, looking at the relativistic velocity addition law and its underlying hyperbolic geometry through the lens of cosmological stellar aberration leads to a startling conclusion: relativistic velocities add in the cosmos according to the gyroparallelogram addition law of hyperbolic geometry, which is commutative. This Epilogue of the book may thus serve as the Prologue for the future of Einstein’s special relativity theory as a theory regulated by the hyperbolic geometry of Bolyai and Lobachevsky.
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Ungar, A.A. (2010). Epilogue. In: Hyperbolic Triangle Centers. Fundamental Theories of Physics, vol 166. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-8637-2_10
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