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Article overview
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Smooth Loops and Thomas Precession | Alexander I. Nesterov
; Lev V. Sabinin
; | Date: |
27 Apr 2013 | Abstract: | Fundamentals of the local smooth loops due to Sabinin are concisely outlined
together with the corresponding infinitesimal objects, so-called
u-hyperalgebras, and the analogue of the Lie groups theory. We apply here
this theory to to formulation of a new concept of loop of boosts. A
quaternionic model of the three-parametric loop of boosts is obtained and a
remarkable connection with geodesic loops of Lobachevskii space is found. A
description of Thomas precession in the light of general theory of smooth loops
is given. | Source: | arXiv, 1304.7763 | Services: | Forum | Review | PDF | Favorites |
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