SAdS black holes and spacetime atoms: a heuristic approach

In this work, both extended phase space and holographic equipartition approaches are employed to develop an exact Van der Waals description of non–rotating $D=4$ SAdS black holes as an ensemble of spacetime atoms. After a possible microscopical interaction model is introduced, statistical mechanics techniques, with certain heuristic gravitational constraints, are used to derive the equation of state and the Bekenstein–Hawking entropy. The procedure is generalized to the charged $D=4$ SAdS black hole and to arbitrary $D\ge 3$ dimensions for the uncharged cases.