Triply special relativity from six dimensions

TL;DR

This paper extends Doubly Special Relativity to curved de Sitter space using a six-dimensional framework with quadratic constraints, offering a novel geometric approach.

Contribution

It introduces a six-dimensional model to generalize Doubly Special Relativity to curved backgrounds, which is a new theoretical development.

Findings

Derived a six-dimensional formulation for curved spacetime

Connected quadratic constraints to de Sitter geometry

Provided a new perspective on relativistic symmetries

Abstract

We show that the generalization of Doubly Special Relativity to a curved de Sitter background can be obtained starting from a six-dimensional spacetime on which quadratic constraints on position and momentum coordinates are imposed.