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Doubly special relativity (DSR) is an effective model for encoding quantum gravity in flat spacetime.
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T. Jacobson, S. Liberati and D. Mattingly, “TeV astrophysics constraints on Planck scale Lorentz violation,” Phys. Rev. D 66
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G. Amelino-Camelia, “Quantum-Spacetime Phenomenology,” Living Rev. Rel. 16
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B. Mu, P. Wang and H. Yang, “Thermodynamics and Luminosities of Rainbow Black Holes,” JCAP 1511
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