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Starting from the definition of entropy used in statistical mechanics we show that it is proportional to the gravity action.
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T. Padmanabhan, arXiv:0911.5004 [gr-qc] and references therein
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E. P. Verlinde, arXiv:1001.0785 [hep-th]
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See, for instance, the discussion in section 2 of [ 14 ]
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2010
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