Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
Volume 11, Issue 1, Pages 35-59Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218271802001330
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I show that it is possible to formulate the Relativity postulates in a way that does not lead to inconsistencies in the case of spacetimes whose short-distance structure is governed by an observer-independent length scale. The consistency of these postulates proves incorrect the expectation that modifications of the rules of kinematics involving the Planck length would necessarily require the introduction of a preferred class of inertial observers. In particular, it is possible for every inertial observer to agree on physical laws supporting deformed dispersion relations of the type E-2-c(2)p(2)-c(4)m(2)+f(E, p, m; L-p) = 0, at least for certain types of f.
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