Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-06-30
Phys.Rev. D70 (2004) 065020
Physics
High Energy Physics
High Energy Physics - Theory
13 pages
Scientific paper
10.1103/PhysRevD.70.065020
We describe an extension of special relativity characterized by {\it three} invariant scales, the speed of light, $c$, a mass, $\kappa$ and a length $R$. This is defined by a non-linear extension of the Poincare algerbra, $\cal A$, which we describe here. For $R\to \infty$, $\cal A$ becomes the Snyder presentation of the $\kappa$-Poincare algebra, while for $\kappa \to \infty$ it becomes the phase space algebra of a particle in deSitter spacetime. We conjecture that the algebra is relevant for the low energy behavior of quantum gravity, with $\kappa$ taken to be the Planck mass, for the case of a nonzero cosmological constant $\Lambda = R^{-2}$. We study the modifications of particle motion which follow if the algebra is taken to define the Poisson structure of the phase space of a relativistic particle.
Kowalski-Glikman Jerzy
Smolin Lee
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