Abstract
The phase space of a classical particle in deformed special relativity (DSR) contains de Sitter space as the space of momenta. We start from the standard relativistic particle in five dimensions with an extra constraint and reduce it to four-dimensional DSR by imposing appropriate gauge fixing. We analyze some physical properties of the resulting theories like the equations of motion, the form of Lorentz transformations, and the issue of velocity. We also address the problem of the origin and interpretation of different bases in DSR.
- Received 12 December 2005
DOI:https://doi.org/10.1103/PhysRevD.73.045009
©2006 American Physical Society