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Modifications of Special Relativity by the introduction of an invariant energy and/or momentum level (so-called Doubly Special Relativity theories, DSR) or by an energy-momentum dependence of the Planck constant (Generalized Uncertainty Principle, GUP) are compared with classical gravitational effects in an interaction processes.
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S. Judes and M. Visser Conservation Laws in “Doubly Special Relativity”, Phys. Rev. D 68 (3003) 045001, gr-qc/0205067
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G. Amelino-Camelia, Status of Relativity with observer-independent length and velocity scales, Proceedings of the 37th Karpacz Winter School of Theoretical Physics, AIP Conference Proceedings 589, gr-qc/0106004
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