Constraints on the quantum gravity scale from kappa - Minkowski spacetime

Abstract

We compare two versions of deformed dispersion relations (energy vs momenta and momenta vs energy) and the corresponding time delay up to the second order accuracy in the quantum gravity scale (deformation parameter). A general framework describing modified dispersion relations and time delay with respect to different noncommutative kappa -Minkowski spacetime realizations is firstly proposed here and it covers all the cases introduced in the literature. It is shown that some of the realizations provide certain bounds on quadratic corrections, i.e. on quantum gravity scale, but it is not excluded in our framework that quantum gravity scale is the Planck scale. We also show how the coefficients in the dispersion relations can be obtained through a multiparameter fit of the gamma ray burst (GRB) data.

9 pages, final published version, revised abstract, introduction and conclusion, to make it clear to general reader

References in corpus (25)

• Testing Einstein's special relativity with Fermi's short hard gamma-ray burst GRB090510
• Planck-scale modified dispersion relations and Finsler geometry
• Probing quantum gravity using photons from a flare of the active galactic nucleus Markarian 501 observed by the MAGIC telescope
• Lorentz-violation-induced arrival delays of cosmological particles
• Prospects for constraining quantum gravity dispersion with near term observations
• Derivation of a Vacuum Refractive Index in a Stringy Space-Time Foam Model
• Kappa-Minkowski space-time and the star product realizations
• New realizations of Lie algebra kappa-deformed Euclidean space
• Twisted Statistics in kappa-Minkowski Spacetime
• Covariant realizations of kappa-deformed space
• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Fock space, quantum fields and kappa-Poincaré symmetries
• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Towards Quantum Noncommutative $\kappa$-deformed Field Theory
• Bounds on an energy-dependent and observer-independent speed of light from violations of locality
• Modifications to Lorentz invariant dispersion in relatively boosted frames
• Constraints on Lorentz invariance violation from gamma-ray burst GRB090510
• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• kappa-deformed Spacetime From Twist
• $\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
• Rainbow statistics
• Twisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle
• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions
• Differential structure on the $\kappa$-Minkowski spacetime from twist
• Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra

Cited by in corpus (51)

• Electrodynamics on $\kappa$-Minkowski space-time
• Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
• Generalized Poincare algebras, Hopf algebras and kappa-Minkowski spacetime
• Geodesic equation in $k$-Minkowski spacetime
• Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra
• Kappa-Minkowski spacetime, Kappa-Poincaré Hopf algebra and realizations
• The $\kappa$-(A)dS noncommutative spacetime
• K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• Toward the classification of differential calculi on $\kappa$-Minkowski space and related field theories
• Effects of Noncommutativity on the Black Hole Entropy
• Observables and Dispersion Relations in k-Minkowski Spacetime
• Maxwell's equations on the $\kappa$-Minkowski spacetime and Electric-Magnetic duality
• Differential algebras on kappa-Minkowski space and action of the Lorentz algebra
• $\kappa$-Deformed Phase Space, Hopf Algebroid and Twisting
• Quantum statistics and noncommutative black holes
• $k$-Minkowski-deformation of $U(1)$ gauge theory
• Uniformly accelerating observer in $\kappa$-deformed space-time
• $\kappa$-Deformations and Extended $\kappa$-Minkowski Spacetimes
• Interplay between spacetime curvature, speed of light and quantum deformations of relativistic symmetries
• Different realizations of kappa-momentum space and relative-locality effect
• Kappa-deformation of phase space; generalized Poincare algebras and R-matrix
• Differential forms and k-Minkowski spacetime from extended twist
• Universal $\kappa$-Poincaré covariant differential calculus over $\kappa$-Minkowski space
• Hermitian realizations of kappa-Minkowski spacetime
• Uniformly accelerated detector in the $\kappa$-deformed Dirac vacuum
• Twisted statistics and the structure of Lie-deformed Minkowski spaces
• Constraining Snyder and GUP models with low-mass stars
• Rotationally invariant noncommutative phase space of canonical type with recovered weak equivalence principle
• Twisted bialgebroids versus bialgebroids from a Drinfeld twist
• Dispersion Relations in $\kappa$-Noncommutative Cosmology
• Cayley-Klein Lie bialgebras: Noncommutative spaces, Drinfel'd doubles and kinematical applications
• Compact stars in quantum spacetime
• Time-space noncommutativity and Casimir effect
• Quantisation of Klein-Gordon field in $\kappa$ space-time: deformed oscillators and Unruh effect
• Interpolations between Jordanian Twists Induced by Coboundary Twists
• Central tetrads and quantum spacetimes
• System of interacting harmonic oscillators in rotationally invariant noncommutative phase space
• Time reversal and rotational symmetries in noncommutative phase space
• Conformal quantum mechanics and holography in noncommutative space-time
• Maximal acceleration in non-commutative space-time and its implications
• Emergence of maximal acceleration from non-commutativity of space-time
• Superdense star in a space-time with minimal length
• Minimal momentum estimation in noncommutative phase space of canonical type with preserved rotational and time reversal symmetries
• How does Casimir energy fall in $\kappa$-deformed space-time?
• Regularization of Kepler Problem in $\kappa$-spacetime
• Quantisation of $\kappa$-deformed Dirac equation
• Some Features of Scattering Problem in a $\kappa$-Deformed Minkowski Spacetime
• Harmonic oscillator chain in noncommutative phase space with rotational symmetry
• Maxwell's equations and Lorentz force in doubly special relativity
• Interpolations between Jordanian twists, the Poincaré-Weyl algebra and dispersion relations