Curved momentum space, locality, and generalized space-time

Abstract

We establish the correspondence between two apparently unrelated but in fact complementary approaches of a relativistic deformed kinematics: the geometric properties of momentum space and the loss of absolute locality in canonical spacetime, which can be restored with the introduction of a generalized spacetime. This correspondence is made explicit for the case of $\kappa$-Poincaré kinematics and compared with its properties in the Hopf algebra framework.

18 pages

References in corpus (4)

• Relativistic kinematics beyond Special Relativity
• Causal Sets: Quantum gravity from a fundamentally discrete spacetime
• Geometric interpretation of Planck-scale-deformed co-products
• Beyond Special Relativity at second order

Cited by in corpus (4)

• Geometry of multi-particle systems with a relativistic deformed kinematics and the relative locality principle
• Relativistic deformed kinematics: from flat to curved spacetimes
• Particle-antiparticle asymmetry in a relativistic deformed kinematics
• Cosmic Neutrinos as a Window to Departures from Special Relativity