Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession (eBook, PDF)

Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession (eBook, PDF)

The Theory of Gyrogroups and Gyrovector Spaces

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"I cannot define coincidence [in mathematics]. But 1 shall argue that coincidence can always be elevated or organized into a superstructure which perfonns a unification along the coincidental elements. The existence of a coincidence is strong evidence for the existence of a covering theory. " -Philip 1. Davis [Dav81] Alluding to the Thomas gyration, this book presents the Theory of gy rogroups and gyrovector spaces, taking the reader to the immensity of hyper bolic geometry that lies beyond the Einstein special theory of relativity. Soon after its introduction by Einstein in 1905 [Ein05], spec...

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