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arXiv · 2104.07336

Curved momentum space, locality, and generalized space-time

José Manuel Carmona·José Luis Cortés·José Javier Relancio
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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 $\kappa$-Poincar\'e kinematics and compared with its properties in the Hopf algebra framework.

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José Manuel Carmona, José Luis Cortés, José Javier Relancio. 2021-04-15. Curved momentum space, locality, and generalized space-time. https://doi.org/10.3390/universe7040099

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