Deformed Boost Transformations That Saturate at the Planck Scale

Details Deformed Boost Transformations That Saturate at the Planck Scale Deformed Boost Transformations That Saturate at the Planck Scale

2001-07-05

arxiv.org/abs/hep-th/0107039v1

Phys.Lett. B522 (2001) 133-138

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LaTex (revtex)

Scientific paper

10.1016/S0370-2693(01)01264-3

We derive finite boost transformations based on the Lorentz sector of the bicross-product-basis $\kappa$-Poincare' Hopf albegra. We emphasize the role of these boost transformations in a recently-proposed new relativistic theory. We find that when the (dimensionful) deformation parameter is identified with the Planck length, which together with the speed-of-light constant has the status of observer-independent scale in the new relativistic theory, the deformed boosts saturate at the value of momentum that corresponds to the inverse of the Planck length.

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