Employing the Verlinde's hypothesis, the R\'{e}nyi entropy expression as wellas the generalized equipartition law of energy in a non-extensive spacetime, amodification to the Newtonian gravity is derived. In addition, using Unruhtemperature, we also present a theoretical basis for the Modified NewtonianDynamics (MOND) theory. Finally, applying the Padmanabhan's proposal towardsemergence of cosmic space and the energy-momentum conservation law,modifications to the Friedmann equations are addressed.
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