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Severe constraints on the loop-quantum-gravity energy-momentum dispersion relation from the black-hole area-entropy law

Severe constraints on the loop-quantum-gravity energy-momentum dispersion relation from the black-hole area-entropy law

We explore a possible connection between two aspects of loop quantum gravity which have been extensively studied in the recent literature: the black-hole area-entropy law and the energy-momentum dispersion relation. We observe that the original Bekenstein argument for the area-entropy law implicitly requires information on the energy-momentum dispersion relation and …