  It is an old idea to realize Einstein's equations as a thermodynamical
equation of state. Since then, there has been new conjectures to understand
gravity from another point of view. In this way we can accept that the
gravitational field is not an underlying one like an emergent force from other
approaches based on the knowledge of relativity, quantum and black holes
thermodynamics, and different statistical formalisms. One important question
concerning this gravity/thermostatistics correspondence is whether the
holographic screen could be well defined for a nonrelativistic case of a source
mass. Hence, to understand the actual role of the holographic screen is a very
relevant issue. In this letter we have analyzed the entropy as a function of
the holographic screen in some different scenarios. We have disclosed modified
Newtonian dynamics (MOND) from Verlinde's ideas. Besides, we have calculated
some cosmological elements using the same ideas. The results obtained using
MOND will guide us to obtain other cosmological results.
