Translation invariance and doubly special relativity

TL;DR

This paper offers a new interpretation of doubly special relativity by distinguishing between momenta and translation generators, suggesting that only translation invariance needs deformation, not Lorentz symmetry.

Contribution

It introduces a novel perspective on doubly special relativity, emphasizing the role of translation invariance over Lorentz symmetry deformation.

Findings

Doubly special relativity can be interpreted through phase space distinctions.

Implementation may only require deforming translation invariance.

Lorentz symmetry might remain undeformed in this framework.

Abstract

We propose a new interpretation of doubly special relativity based on the distinction between the momenta and the translation generators in its phase space realization. We also argue that the implementation of the theory does not necessarily require a deformation of the Lorentz symmetry, but only of the translation invariance.