Observerindependent quantum of mass
Abstract
It has been observed recently by AmelinoCamelia that the hypothesis of existence of a minimal observerindependent (Planck) length scale is hard to reconcile with special relativity. As a remedy he postulated to modify special relativity by introducing an observerindependent 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 value of mass scale is 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 in the framework of the quantum κPoincaré symmetry. It follows that at the Planck scale the world may be nonrelativistic.
 Publication:

Physics Letters A
 Pub Date:
 August 2001
 DOI:
 10.1016/S03759601(01)004650
 arXiv:
 arXiv:hepth/0102098
 Bibcode:
 2001PhLA..286..391K
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 8 pages, LaTeX