Spacetime and deformations of special relativistic kinematics

TL;DR

This paper explores how deformations in special relativistic kinematics, potentially linked to quantum gravity, alter the concept of spacetime and affect particle propagation over large distances.

Contribution

It analyzes the implications of kinematic deformations on spacetime structure and discusses observable effects, emphasizing the role of the cluster decomposition principle.

Findings

Deformation leads to modified spacetime notions.

Loss of absolute locality in interaction processes.

Observable effects depend on the cluster decomposition principle.

Abstract

A deformation of special relativistic kinematics (possible signal of a theory of quantum gravity at low energies) leads to a modification of the notion of spacetime. At the classical level, this modification is required when one considers a model including single- or multi-interaction processes, for which absolute locality in terms of canonical space-time coordinates is lost. We discuss the different alternatives for observable effects in the propagation of a particle over very large distances that emerge from the new notion of spacetime. A central ingredient in the discussion is the cluster decomposition principle, which can be used to favor some alternatives over the others.