Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-12-26
Phys.Lett. B510 (2001) 255-263
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, LaTex
Scientific paper
10.1016/S0370-2693(01)00506-8
I propose a general class of space-times whose structure is governed by observer-independent scales of both velocity ($c$) and length (Planck length), and I observe that these space-times can naturally host a modification of FitzGerald-Lorentz contraction such that lengths which in their inertial rest frame are bigger than a "minimum length" are also bigger than the minimum length in all other inertial frames. With an analysis in leading order in the minimum length, I show that this is the case in a specific illustrative example of postulates for Relativity with velocity and length observer-independent scales.
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