Status of Relativity with observer-independent length and velocity scales

Details Status of Relativity with observer-independent length and velocity scales Status of Relativity with observer-independent length and velocity scales

2001-06-03

arxiv.org/abs/gr-qc/0106004v1

AIP Conf. Proc.589:137-150,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, Latex (to appear in proceedings of 37th Karpacz Winter School)

Scientific paper

10.1063/1.1419321

I have recently shown that it is possible to formulate the Relativity postulates in a way that does not lead to inconsistencies in the case of space-times whose structure is governed by observer-independent scales of both velocity and length. Here I give an update on the status of this proposal, including a brief review of some very recent developments. I also emphasize the role that one of the kappa-Poincare' Hopf algebras could play in the realization of a particular example of the new type of postulates. I show that the new ideas on Relativity require us to extend the set of tools provided by kappa-Poincare' and to revise our understanding of certain already available tools, such as the energy-momentum coproduct.

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