Four classes of modified relativistic symmetry transformations

TL;DR

This paper explores four classes of modified relativistic symmetries within Doubly Special Relativity theories, providing examples that illustrate each class and expanding the understanding of nonlinear Poincaré transformations.

Contribution

It introduces four classes of modified relativistic symmetries, including three related to DSR frameworks, with examples demonstrating each class's characteristics.

Findings

Four classes of modified relativistic symmetries identified

Examples provided for each class illustrating their properties

Enhances understanding of nonlinear Poincaré transformations in DSR

Abstract

We discuss the nonlinear transformations of standard Poincar\'{e} symmetry in the context of recently introduced Doubly Special Relativity (DSR) theories. We introduce four classes of modified relativistic theories with three of them describing various DSR frameworks. We consider four examples of modified relativistic symmetries, which illustrate each of the considered class.