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

C. Chryssomalakos·E. Okon
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Abstract

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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C. Chryssomalakos, E. Okon. 2004-07-11. Linear Form of 3-scale Relativity Algebra and the Relevance of Stability. https://doi.org/10.1142/s0218271804005225

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