The Granularity of Gravity

Introduction This article is meant as a supplement to a previous study [1]. In particular as an extension of its discussion paragraph. It is my aim to give some view on the granularity of the gravitational space, in which I will borrow some concepts from Verlinde’s “entropic gravity” [2,3,4,5]. I have decided to separate the issue from my previous article, because of the need to accept the somewhat hypothetical, if not speculative, nature of these concepts. That concepts are needed is beyond doubt, because otherwise there are no means to give an explanation for the negative pressure executed by the spatial fluid that must be present in vacuum for explaining a positive value of the Cosmological Constant in Einstein’s Field Equation. Such a value is required to remove the anomaly of particular cosmological phenomena, like the solar rotation curves in galaxies and the accelerated expansion of the universe. In my previous article, it has straightforwardly been derived that in a gravitational system with a central mass M in vacuum, the Cosmological Constant, while independent of spacetime coordinates, amounts to MG a 5 / 2 / 0 2 = = Λ λ , where 0 a ( ≈ 10-10 m/s2) is Milgrom’s acceleration constant [6,7,8] and G the gravitational constant.