Topic
Special relativity (alternative formulations)
About: Special relativity (alternative formulations) is a research topic. Over the lifetime, 3102 publications have been published within this topic receiving 55015 citations.
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TL;DR: In this paper, a simple and deep standard mathematical theorem asserts the existence, for any one-parameter differentiable group, of an additive parameter, such as the angle for rotations and the rapidity parameter for Lorentz transformations.
Abstract: A simple and deep standard mathematical theorem asserts the existence, for any one‐parameter differentiable group, of an additive parameter, such as the angle for rotations and the rapidity parameter for Lorentz transformations. The importance of this theorem for the applications of group theory in physics is stressed, and an elementary proof is given. The theorem then is applied to the construction from first principles of possible relativity groups.
32 citations
TL;DR: In this article, a non-commutative spacetime structure, underlying the DISIM b (2 ) subgroup of the Poincare group is presented, which allows us to construct explicitly the generators of the group.
32 citations
32 citations
32 citations
TL;DR: There is a one-to-one correspondence between Snyder's model in de Sitter space of momenta and the dS-invariant special relativity as well as a minimum uncertainty-like relation.
Abstract: There is a one-to-one correspondence between Snyder’s model in de Sitter space of momenta and the dS-invariant special relativity as well as a minimum uncertainty-like relation. This indicates that physics at the Planck length l
P
and the scale R = (3/Λ)1/2 should be dual to each other and there is in-between gravity of local dS-invariance characterized by a dimensionless coupling constant g = l
P
/R ∼ 10−61.
31 citations