Taming nonlocality in theories with Planck-scale-deformed Lorentz symmetry

Abstract

We report a general analysis of worldlines for theories with deformed relativistic symmetries and momentum dependence of the speed of photons. Our formalization is faithful to Einstein's program, with spacetime points viewed as an abstraction of physical events. The emerging picture imposes the renunciation of the idealization of absolutely coincident events, but is free from some pathologies which had been previously conjectured.

arXiv commentresults generalized to 3+1D case; presentation streamlined

References in corpus (16)

• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Testing Einstein's special relativity with Fermi's short hard gamma-ray burst GRB090510
• Doubly Special Relativity
• Doubly-Special Relativity: First Results and Key Open Problems
• Non-commutative space-time of Doubly Special Relativity theories
• Observer-independent quanta of mass and length
• Doubly Special Relativity and de Sitter space
• Falsifiable predictions from semiclassical quantum gravity
• Bounds on an energy-dependent and observer-independent speed of light from violations of locality
• Velocity of particles in Doubly Special Relativity
• Transformations of coordinates and Hamiltonian formalism in deformed Special Relativity
• Large-scale non-locality in "doubly special relativity" with an energy-dependent speed of light
• Doubly special relativity and translation invariance
• On limitations of the extent of inertial frames in non-commutative relativistic spacetimes
• A note on DSR-like approach to space-time

Cited by in corpus (66)

• Minimal Length Scale Scenarios for Quantum Gravity
• Quantum Spacetime Phenomenology
• The principle of relative locality
• Search for dijet resonances in proton-proton collisions at sqrt(s) = 13 TeV and constraints on dark matter and other models
• Quantum Gravity Effects in Geodesic Motion and Predictions of Equivalence Principle Violation
• Realization of DSR-relativistic symmetries in Finsler geometries
• Relative-locality distant observers and the phenomenology of momentum-space geometry
• Planck-scale-modified dispersion relations in FRW spacetime
• OPERA-reassessing data on the energy dependence of the speed of neutrinos
• Speed of particles and a relativity of locality in $\kappa$-Minkowski quantum spacetime
• Deformed General Relativity
• On the fate of Lorentz symmetry in relative-locality momentum spaces
• Relativistic kinematics beyond Special Relativity
• Investigation on Finsler geometry as a generalization to curved spacetime of Planck-scale-deformed relativity in the de Sitter case
• Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra
• Living in Curved Momentum Space
• $\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
• Localization and Reference Frames in $\kappa$-Minkowski Spacetime
• A twisted look on kappa-Minkowski: U(1) gauge theory
• Deformed Lorentz symmetry and relative locality in a curved/expanding spacetime
• About Locality and the Relativity Principle Beyond Special Relativity
• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• The Soccer-Ball Problem
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• The DSR-deformed relativistic symmetries and the relative locality of 3D quantum gravity
• Modeling transverse relative locality
• Relative locality in a quantum spacetime and the pregeometry of $\kappa$-Minkowski
• Dual redshift on Planck-scale-curved momentum spaces
• Experimental Search for Quantum Gravity
• Inertial frames without the relativity principle
• Kinematics of particles with quantum de Sitter symmetries
• Generally covariant formulation of Relative Locality in curved spacetime
• Exploring Special Relative Locality with deSitter momentum-space
• Interplay between spacetime curvature, speed of light and quantum deformations of relativistic symmetries
• On limitations of the extent of inertial frames in non-commutative relativistic spacetimes
• Planck-scale-deformed relativistic symmetries and diffeomorphisms in momentum space
• Quantum kappa-deformed differential geometry and field theory
• Does a deformation of special relativity imply energy dependent photon time delays?
• Quantum-gravity-induced dual lensing and IceCube neutrinos
• Relativistic compatibility of the interacting $\kappa$-Poincaré model and implications for the relative locality framework
• Universal $\kappa$-Poincaré covariant differential calculus over $\kappa$-Minkowski space
• Observers and their notion of spacetime beyond special relativity
• OPERA neutrinos and relativity
• Spacetime and deformations of special relativistic kinematics
• Non-commutative Fourier transform for the Lorentz group via the Duflo map
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Causality and momentum conservation from relative locality
• Reply to arXiv:1006.2126 by Giovanni Amelino-Camelia et al
• Relative-locality phenomenology on Snyder spacetime
• Multi-particle systems in $\kappa$-Poincaré inspired by 2+1D gravity
• Relative Locality in Curved Space-time
• A new perspective on Doubly Special Relativity
• Weakness of accelerator bounds on electron superluminality without a preferred frame
• Physical velocity of particles in relativistic curved momentum space
• Penetration of Arbitrary Double Potential Barriers with Probability Unity: Implications for Testing the Existence of a Minimum Length
• Comment on arXiv:1007.0718 by Lee Smolin
• Quantum superpositions of the speed of light
• $\kappa$-General-Relativity I: a Non-Commutative GR Theory with the $\kappa$-Minkowski Spacetime as its Flat Limit
• Longitudinal and transverse relativity of spacetime locality in Planck-scale-deformed phase spaces
• Phenomenology of Philosophy of Science: OPERA data
• $\kappa$-Poincaré phase space: speed of massless particles and relativity of spacetime locality
• Quantum speed limit as a sensitive probe of Planck-scale effects
• DSR-relativistic spacetime picture and the phenomenology of Planck-scale-modified time dilation
• Born's prophecy leaves no space for quantum gravity
• On the invariance of the relative rest in doubly special relativity
• The universe is not a Lie, but actually an Hopf, algebra