Ángel Ballesteros et al 2003 J. Phys. A: Math. Gen. 36 10493 doi:10.1088/0305-4470/36/42/006
Ángel Ballesteros1, N Rossano Bruno1,2 and Francisco J Herranz1
Show affiliationsA 'mass-like' quantum Weyl–Poincaré algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, a new relativistic theory with two observer-independent scales (or 'doubly special relativity' (DSR) theory). Deformed momentum representation, finite boost transformations, range of rapidity, energy and momentum, and position and velocity operators are explicitly studied and compared with those of previous DSR theories based on κ-Poincaré algebra. The main novelties of the DSR theory presented here are the new features of momentum saturation and a new type of deformed position operators.
13D40 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
Issue 42 (24 October 2003)
Received 19 May 2003, in final form 7 August 2003
Published 7 October 2003
Ángel Ballesteros et al 2003 J. Phys. A: Math. Gen. 36 10493
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