Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-02-16
Phys.Lett. A286 (2001) 391-394
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, LaTeX; some speculative comments concerning the structure of space-time removed; one reference added
Scientific paper
10.1016/S0375-9601(01)00465-0
It has been observed recently by Giovanni Amelino-Camelia \cite{gac1, gac2} that the hypothesis of existence of a minimal observer-independent (Planck) length scale is hard to reconcile with special relativity. As a remedy he postulated to modify special relativity by introducing an observer-independent length scale. In this letter we set forward a proposal how one should modify the principles of special relativity, so as to assure that the values of mass and length scales are the same for any inertial observer. It turns out that one can achieve this by taking dispersion relations such that the speed of light goes to infinity for finite momentum (but infinite energy), proposed e.g., in the framework of the quantum $\kappa$-Poincar\'e symmetry. It follows that at the Planck scale the world may be non-relativistic.
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