Entropic forces and Newton's Gravitation

A. PLASTINO; M. C. ROCCA

ENTROPY

MOLECULAR DIVERSITY PRESERVATION INTERNATIONAL-MDPI

Lugar: Basel; Año: 2020 vol. 22 p. 273 - 282

1099-4300

Our subject of interest here are entropic forces, as re-interpreted by Verlinde with reference to gravitation, that is, by appeal to Verlinde´s conception of an entropic (statistically emergent) gravity advanced in [Physica A {f 511} (2018) 139]. In a canonical ensemble framework, we will deal with a non relativistic quantum scenario. In it, {sf we perform a non-relativistic Schr"odinger treatment (ST) of gravity as an entropic force} and are able to detect a new kind of bounded quantum gravitational states, not previously reported. These new bound states would provide us with a novel energy-source, not taken into account as yet. The present entropic force deviates from the Newton´s form only at extremely short distances. We propose, by specializing our results to gravitationally interacting bosons, {it a model for dark matter generation