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• W1526871190 abstract "The most studied doubly special-relativity scenarios, theories with both the speed-of-light scale and a length/inverse-momentum scale as nontrivial relativistic invariants, have concerned the possibility of relativistically enforcing some nonlinear laws on momentum space. For the recently proposed ``relative-locality framework'' a central role is played by nonlinear laws on momentum space, with the guiding principle that they should provide a characterization of the geometry of momentum space. Building on previous doubly special-relativity results, here I identify a requirement necessary for ``DSR compatibility''; i.e. when the requirement is not satisfied a preferred-frame formulation of theories on that momentum space inevitably emerges. I find that, within a natural parametrization of momentum-space geometry, the requirement takes the form of an elementary algorithm. By working out a few examples I provide evidence that my requirement might be not only necessary but also sufficient: when the requirement is satisfied one does manage to produce a relativistic formulation. The examples I use to illustrate the applicability of my criterion also have some intrinsic interest, including two particularly noteworthy cases of $ensuremath{kappa}$-Poincar'e-inspired momentum spaces." @default.
• W1526871190 created "2016-06-24" @default.
• W1526871190 creator A5013915206 @default.
• W1526871190 date "2012-04-24" @default.
• W1526871190 modified "2023-10-14" @default.
• W1526871190 title "Fate of Lorentz symmetry in relative-locality momentum spaces" @default.
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• W1526871190 doi "https://doi.org/10.1103/physrevd.85.084034" @default.
• W1526871190 hasPublicationYear "2012" @default.
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