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The modified dispersion relation as a common feature of all quantum gravityscenarios provides a perturbation framework upon which the black holethermodynamics can be corrected. In this letter, we obtain the corrections tothe $d$-dimensional Schwarzschild black hole thermodynamics by utilizing theextra dimensional form of the modified dispersion relation, leading to themodification of the Cardy-Verlinde formula. Furthermore, we show that themodified dispersion relation corrections to the Cardy-Verlinde formula can betaken into account by redefining the Virasoro operator and the central charge.

Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions