Classical dynamics on Snyder spacetime

Understand

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 \beta E^2.
• An important result is that in the relativistic Snyder model a consistent choice of the time variable must necessarily depend on the dynamics.