Group of boost and rotation transformations with two observer-independent scales

Abstract

I examine the structure of the deformed Lorentz transformations in one of the recently-proposed schemes with two observer-independent scales. I develop a technique for the analysis of general combinations of rotations and deformed boosts. In particular, I verify explicitly that the transformations form group.

revised version accepted for publication on Phys.Lett.B; one reference corrected, some physical comments added. 6 pages, RevTex4

References in corpus (4)

• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Testable scenario for Relativity with minimum-length
• Deformed Boost Transformations That Saturate at the Planck Scale

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