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

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.

arXiv comment5 pages

References in corpus (3)

• Non-commutative space-time of Doubly Special Relativity theories
• Triply Special Relativity
• Operational indistinguishabilty of doubly special relativities from special relativity

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