Abstract
It is argued that Planck mass may be considered as a candidate for the mass content of each degree of freedom of holographic screen. In addition, employing the Verlinde hypothesis on emergent gravity and considering holographic screen degrees of freedom as a q-deformed fermionic system, it is obtained that the heat capacity per degree of freedom inspires the MOND interpolating function. Moreover, the MOND acceleration is achieved as a function of Planck acceleration. Both ultra-relativistic and non-relativistic statistics are studied. We, therefore, believe that our results can at least mathematically be employed to write the MOND theory corresponding to various samples.
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