Hamiltonian formalism and spacetime symmetries in generic DSR models

TL;DR

This paper explores the phase space structure and spacetime transformation laws in generic deformed special relativity models, ensuring consistency with deformed Lorentz symmetry.

Contribution

It provides a systematic analysis of the phase space and coordinate transformations in DSR models, clarifying their geometric and symmetry properties.

Findings

Derived the phase space structure for generic DSR models

Established transformation laws for spacetime coordinates in DSR

Ensured compatibility with deformed Lorentz symmetry

Abstract

We study the structure of the phase space of generic models of deformed special relativity that gives rise to a definition of velocity consistent with the deformed Lorentz symmetry. As a byproduct we also determine the laws of transformation of spacetime coordinates.