Relative-locality effects in Snyder spacetime

Abstract

When applied to some models of noncommutative geometry, the formalism of relative locality predicts the occurrence of a delay in the time of arrival of massless particle of different energies emitted by a distant observer. In this letter, we show that this is not the case with Snyder spacetime, essentially because the Lorentz invariance is not deformed in this case. This conclusion is in accordance with the findings of doubly special relativity. Distant observers may however measure different times of flight for massive particle.

7 pages

References in corpus (2)

• Speed of particles and a relativity of locality in $\kappa$-Minkowski quantum spacetime
• Doubly special relativity and translation invariance

Cited by in corpus (11)

• Curved momentum spaces from quantum (Anti-)de Sitter groups in (3+1) dimensions
• Worldline Formalism in Snyder Spaces
• Associative realizations of the extended Snyder model
• Heisenberg doubles for Snyder type models
• Planck-scale-deformed relativistic symmetries and diffeomorphisms in momentum space
• Does a deformation of special relativity imply energy dependent photon time delays?
• Relative-locality phenomenology on Snyder spacetime
• Time delays, choice of energy-momentum variables and relative locality in doubly special relativity
• Physical velocity of particles in relativistic curved momentum space
• Relative-locality geometry for the Snyder model
• Snyder Like Modified Gravity in Newton's Spacetime