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.

arXiv comment10 pages, no figures

References in corpus (35)

• Lorentz-Violating Extension of the Standard Model
• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Data Tables for Lorentz and CPT Violation
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Analogue Gravity
• High-Energy Tests of Lorentz Invariance
• Modern tests of Lorentz invariance
• Noncommutative Field Theory and Lorentz Violation
• Testable scenario for Relativity with minimum-length
• Quantum gravity corrections to neutrino propagation
• Doubly Special Relativity
• Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV-$\gamma$ paradoxes
• Doubly Special Relativity theories as different bases of $\kappa$--Poincaré algebra
• Non-commutative space-time of Doubly Special Relativity theories
• Probing The Structure of Space-Time with Cosmic Rays
• Lorentz-violating electrodynamics and the cosmic microwave background
• Faster-than-c signals, special relativity, and causality
• Quantum Gravity Phenomenology, Lorentz Invariance and Discreteness
• Loop-Generated Bounds on Changes to the Graviton Dispersion Relation
• Non-Linear Relativity in Position Space
• Conservation Laws in Doubly Special Relativity
• Taming nonlocality in theories with Planck-scale-deformed Lorentz symmetry
• Bounds on an energy-dependent and observer-independent speed of light from violations of locality
• Modifications to Lorentz invariant dispersion in relatively boosted frames
• Velocity of particles in Doubly Special Relativity
• Transformations of coordinates and Hamiltonian formalism in deformed Special Relativity
• On the definition of velocity in theories with two observer-independent scales
• Probing the quantum-gravity realm with slow atoms
• Group velocity in noncommutative spacetime
• Modified Dispersion Relations from the Renormalization Group of Gravity
• Approaching Space Time Through Velocity in Doubly Special Relativity
• Anomalous particle-production thresholds through systematic and non-systematic quantum-gravity effects
• Canonical Realizations of Doubly Special Relativity
• Asymptotic approach to Special Relativity compatible with a relativistic principle

Cited by in corpus (25)

• Minimal Length Scale Scenarios for Quantum Gravity
• Tests of Lorentz invariance: a 2013 update
• White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
• On the fate of Lorentz symmetry in relative-locality momentum spaces
• Relativistic kinematics beyond Special Relativity
• The Soccer-Ball Problem
• The DSR-deformed relativistic symmetries and the relative locality of 3D quantum gravity
• Modeling transverse relative locality
• The Momentum Spaces of $\kappa$-Minkowski noncommutative spacetime
• Exploring Special Relative Locality with deSitter momentum-space
• Interplay between spacetime curvature, speed of light and quantum deformations of relativistic symmetries
• $\kappa$-Poincaré-comodules, Braided Tensor Products and Noncommutative Quantum Field Theory
• Planck-scale-deformed relativistic symmetries and diffeomorphisms in momentum space
• Relativistic compatibility of the interacting $\kappa$-Poincaré model and implications for the relative locality framework
• Spacetime from locality of interactions in deformations of special relativity: the example of $\kappa$-Poincaré Hopf algebra
• Causality and momentum conservation from relative locality
• Relative-locality phenomenology on Snyder spacetime
• Multi-particle systems in $\kappa$-Poincaré inspired by 2+1D gravity
• Non-universal relativistic kinematics
• A new perspective on Doubly Special Relativity
• Physical velocity of particles in relativistic curved momentum space
• Multiparticle states in braided lightlike $\kappa$-Minkowski noncommutative QFT
• 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