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arXiv · hep-th/0107039

Deformed Boost Transformations That Saturate at the Planck Scale

N. R. Bruno·G. Amelino-Camelia·J. Kowalski-Glikman
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Abstract

We derive finite boost transformations based on the Lorentz sector of the bicross-product-basis $κ$-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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N. R. Bruno, G. Amelino-Camelia, J. Kowalski-Glikman. 2001-07-05. Deformed Boost Transformations That Saturate at the Planck Scale. https://doi.org/10.1016/s0370-2693(01)01264-3

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