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Noncommutative Space-Time in DSR theories

Clemens Heuson
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Abstract

Space-time coordinates in DSR theories with two invariant scales based on a dispersion relation with an energy independent speed of light are introduced by the demand, that boost and rotation generators are invariant under a transformation from SR to DSR variables. This turns out to be equivalent to a recent suggestion postulating the existence of plane wave solutions in DSR theories. The momentum space representation of coordinates is derived, yielding a noncommutative space-time and the deformed algebra.

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Clemens Heuson. 2003-12-05. Noncommutative Space-Time in DSR theories. https://arxiv.org/abs/gr-qc/0312034

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