A new ‘doubly special relativity’ theory from a quantum Weyl–Poincaré algebra

نویسندگان

  • Angel Ballesteros
  • Francisco J. Herranz
چکیده

A ‘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 DSR theory). Deformed momentum representation, finite boost transformations, range of rapidity, energy and momentum, as well as 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 here presented are the new features of momentum saturation and a new type of deformed position operators.

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تاریخ انتشار 2003