About Locality and the Relativity Principle Beyond Special Relativity

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.

10 pages, no figures

References in corpus (5)

• Lorentz-violating electrodynamics and the cosmic microwave background
• Bounds on an energy-dependent and observer-independent speed of light from violations of locality
• Modified Dispersion Relations from the Renormalization Group of Gravity
• Canonical Realizations of Doubly Special Relativity
• Asymptotic approach to Special Relativity compatible with a relativistic principle

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• Non-universal relativistic kinematics
• A new perspective on Doubly Special Relativity
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• Modified energy-momentum conservation laws and vacuum Cherenkov radiation
• Testing energy non-additivity in white dwarfs
• Cosmic Neutrinos as a Window to Departures from Special Relativity