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

ANGELPLASTINO; CALDERON, LUCILA DANIELA; MARIO ROCCA; MARIA TERESA MARTIN; VICTORIA VAMPA

MODERN PHYSICS LETTERS A

WORLD SCIENTIFIC PUBL CO PTE LTD

Lugar: London, UK; Año: 2019 vol. 34 p. 1950075 - 1950084

0217-7323

Following Chakrabarti, et al. [R. Chakrabarti, R. Chandrashekar and S. S. NainaMohammed, Physica A 389, 1571 (2010)], we attempt a classical relativistic treatment of Verlinde´s emergent entropic force conjecture by appealing to a relativistic Hamiltonian in the context of Tsalli´s statistics. The ensuing partition function becomes the classical one for small velocities. We show that Tsallis´ relativistic (classical) free particle distribution at temperature T can generate Newton´s gravitational force´s r(-2) distance´s dependence. If we want to repeat the concomitant argument by appealing to Renyi´s distribution, the attempt fails and one needs to modify the conjecture.