Doubly special relativity and translation invariance

TL;DR

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

Contribution

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

Findings

DSR can be interpreted through phase space distinctions.

Translation invariance, not Lorentz symmetry, can be deformed in DSR.

This reinterpretation may simplify the implementation of DSR theories.

Abstract

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