2004/06/30 by J. Kowalski-Glikman, Lee Smolin · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.70.065020
published as Phys.Rev. D70 (2004) 065020 · 13 pages
arxiv created 2004/06/30 · arxiv updated 2009/12/01
We describe an extension of special relativity characterized by \it three invariant scales, the speed of light, c, a mass, κ and a length R. This is defined by a non-linear extension of the Poincare algerbra, \cal A, which we describe here. For R→ ∞, \cal A becomes the Snyder presentation of the κ-Poincare algebra, while for κ→ ∞ 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 κ taken to be the Planck mass, for the case of a nonzero cosmological constant Λ= 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.