Spacetime and deformations of special relativistic kinematics

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.

arXiv comment13 pages, paper published in Symmetry

References in corpus (27)

• String Theory and Noncommutative Geometry
• Quantum Field Theory on Noncommutative Spaces
• Noncommutative Perturbative Dynamics
• Modern tests of Lorentz invariance
• Testing Einstein's special relativity with Fermi's short hard gamma-ray burst GRB090510
• Renormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base
• Doubly-Special Relativity: First Results and Key Open Problems
• Introduction to Doubly Special Relativity
• Probing quantum gravity using photons from a flare of the active galactic nucleus Markarian 501 observed by the MAGIC telescope
• Deformed Boost Transformations That Saturate at the Planck Scale
• Search for Lorentz Invariance breaking with a likelihood fit of the PKS 2155-304 flare data taken on MJD 53944
• Renormalization of Non-Commutative Phi^4_4 Field Theory in x Space
• Prima Facie Questions in Quantum Gravity
• Doubly Special Relativity versus $\kappa$-deformation of relativistic kinematics
• Taming nonlocality in theories with Planck-scale-deformed Lorentz symmetry
• How Far Are We from the Quantum Theory of Gravity?
• Relative-locality distant observers and the phenomenology of momentum-space geometry
• On $\kappa$-Deformation and UV/IR Mixing
• A new method to study energy-dependent arrival delays on photons from astrophysical sources
• Relativistic deformed kinematics from momentum space geometry
• Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
• Bounds on Spectral Dispersion from Fermi-detected Gamma Ray Bursts
• Regularity of high energy photon events from gamma ray bursts
• Scalar field propagation in the phi^4 kappa-Minkowski model
• Quantum Fields on the Groenewold-Moyal Plane
• $\kappa$-Poincaré invariant orientable field theories at 1-loop
• Light-like $\kappa$-deformations and scalar field theory via Drinfeld twist

Cited by in corpus (11)

• Deformed relativistic kinematics on curved spacetime -- a geometric approach
• Constraints on the deformation scale of a geometry in the cotangent bundle
• Geometry of multi-particle systems with a relativistic deformed kinematics and the relative locality principle
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Relativistic deformed kinematics from locality conditions in a generalized spacetime
• Modification of the mean free path of very high energy photons due to a relativistic deformed kinematics
• Time delays, choice of energy-momentum variables and relative locality in doubly special relativity
• Relativistic deformed kinematics: from flat to curved spacetimes
• A new perspective on Doubly Special Relativity
• Cosmic Neutrinos as a Window to Departures from Special Relativity
• Kinetic gases in static spherically symmetric modified dispersion relations