Classical dynamics on Snyder spacetime
arXiv:1308.0673
Abstract
We study the classical dynamics of a particle in Snyder spacetime, adopting the formalism of constrained Hamiltonian systems introduced by Dirac. We show that the motion of a particle in a scalar potential is deformed with respect to special relativity by terms of order βE^2. An important result is that in the relativistic Snyder model a consistent choice of the time variable must necessarily depend on the dynamics.
8 pages, LaTeX. The choice of gauge in the original version was inconsistent with the dynamics. This error has been corrected