Extension of trigonometric and hyperbolic functions to vectorial arguments and its application to the representation of rotations and Lorentz transformations

The relativistic composition of velocities is interpreted in terms of the rapidity triangle, as a generalization of the non-relativistic parallelogram rule. Some geometrical experiments are presented for grasping essential properties of the rapidity triangle, by preparing a curved sheet of paper on which the composition of rapidities is mapped. The Wigner rotation and accordingly the Thomas precession are interpreted also in the same scheme.

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Extension of trigonometric and hyperbolic functions to vectorial arguments and its application to the representation of rotations and Lorentz transformations

Cited by 2 publications

References 40 publications

Coordinate-free operators based on one vector. I. Formal considerations

Coordinate-free operators based on one vector. I. Formal considerations

Geometrical interpretation for relativistic composition of velocities and the Thomas precession

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