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Following Chakrabarti,Chandrasekhar, and Naina [Physica A {\bf 389} (2010)1571], we attempt a classical relativistic treatment of Verlinde's emergententropic force conjecture by appealing to a relativistic Hamiltonian in thecontext of Tsalli's statistics. The ensuing partition function becomes theclassical one for small velocities. We show that Tsallis' relativistic(classical) free particle distribution at temperature $T$ can generate Newton'sgravitational force's $r^{-2}$ {\it distance's dependence}. If we want torepeat the concomitant argument by appealing to Renyi's distribution, theattempt fails and one needs to modify the conjecture.

Relativistic treatment of Verlinde's emergent force in Tsallis' statistics