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Название: The de Sitter relativistic top theory
Авторы: Armenta J., Nieto J.A.
Аннотация:
We discuss the relativistic top theory from the point of view of the de Sitter (or
anti–de Sitter) group. Our treatment rests on the Hanson–Regge spherical relativistic
top Lagrangian formulation. We propose an alternative method for studying
spinning objects via Kaluza–Klein theory. In particular, we derive the relativistic
top equations of motion starting with the geodesic equation for a point particle in
4+N dimensions. We compare our approach with Fukuyama’s formulation of spinning
objects, which is also based on Kaluza–Klein theory. We also report a generalization
of our approach to a 4+N+D dimensional theory.