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arXiv · 1404.5093

Exploring Special Relative Locality with deSitter momentum-space

Niccoló Loret
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Abstract

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 $ξ$. I underline how those transformations also define the RL characteristic (momentum-dependent) invariant metric. I focus my analysis on the well studied deSitter momentum-space framework and I investigate the differences and similarities between this model and Special Relativity, from the definition of the boost parameter $γ$ to a first discussion of transverse-effects characteristic of Relative Locality on clocks observables.

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Niccoló Loret. 2014-06-27. Exploring Special Relative Locality with deSitter momentum-space. https://doi.org/10.1103/physrevd.90.124013

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