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The possibility of a modification of special relativity with an invariantenergy scale playing the role of a minimum energy is explored. Consistency withthe equivalence of different inertial frames is obtained by an appropriatechoice of a non-linear action of the Lorentz group on momentum space. Limits onthe low energy cutoff from tests of Einstein's theory and possible ways tomeasure the new energy scale are discussed.Comment: RevteX, 4 page

Relativity principle with a low energy invariant scale