Linear Form of 3-scale Relativity Algebra and the Relevance of Stability

Details Linear Form of 3-scale Relativity Algebra and the Relevance of Stability Linear Form of 3-scale Relativity Algebra and the Relevance of Stability

2004-07-11

arxiv.org/abs/hep-th/0407080v1

Int.J.Mod.Phys. D13 (2004) 1817-1822

Physics

High Energy Physics

High Energy Physics - Theory

5 pages

Scientific paper

10.1142/S0218271804005225

We show that the algebra of the recently proposed Triply Special Relativity can be brought to a linear (ie, Lie) form by a correct identification of its generators. The resulting Lie algebra is the stable form proposed by Vilela Mendes a decade ago, itself a reapparition of Yang's algebra, dating from 1947. As a corollary we assure that, within the Lie algebra framework, there is no Quadruply Special Relativity.

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