Exploring Special Relative Locality with deSitter momentum-space

Understand

Relative Locality is a recent approach to the quantum-gravity problem which allows to tame nonlocality effects which may rise in some models which try to describe Planck-scale physics.

• I here explore the effect of Relative Locality on basic special-relativistic phenomena.
• In particular I study the deformations due to Relative Locality of special-relativistic transformation laws for momenta at all orders in the rapidity parameter $\xi$.
• I underline how those transformations also define the RL characteristic (momentum-dependent) invariant metric.