About Locality and the Relativity Principle Beyond Special Relativity

TL;DR

This paper explores how theories beyond Special Relativity inherently lose absolute locality, proposing a new implementation of the relativity principle and comparing it with existing frameworks like relative locality and Doubly Special Relativity.

Contribution

It provides an explicit construction of a relativity principle implementation beyond Special Relativity and analyzes its relation to relative locality and Doubly Special Relativity.

Findings

Loss of absolute locality is a general feature beyond Special Relativity.

The paper offers an explicit construction of a new implementation of the relativity principle.

Comparison with existing frameworks clarifies the nature of locality in extended theories.

Abstract

Locality of interactions is an essential ingredient of Special Relativity. Recently, a new framework under the name of relative locality \cite{AmelinoCamelia:2011bm} has been proposed as a way to consider Planckian modifications of the relativistic dynamics of particles. We note in this paper that the loss of absolute locality is a general feature of theories beyond Special Relativity with an implementation of a relativity principle. We give an explicit construction of such an implementation and compare it both with the previously mentioned framework of relative locality and the so-called Doubly Special Relativity theories.