In this paper I propose that the 'Hubble expansion' phenomenon is universal and isotropic and countered by space absorption as an activity of central massess. With mass sucking in space on the one hand and space expanding isotropically with the Hubble rate on the other hand, we get a continuous drift of space towards the central mass. We can define a critical distance from the central mass as the distance where the two effects are balanced. The cosmic density parameter is given a different, more local, interpretation because it now devides space into regions where absorption of space is dominant and regions where space creation is dominant. I add to this that at elementary particle level, the space absorption process is quantized and periodic, with the de Broglie internal frequency as the quantized space volume absorption frequency. This then leads to a mass independend quantized volume of space of approximately the size of the largest nuclei. De Broglie's subquantum gas is identified with space that is thus quantized. Nuclei occupy at most one single quantum bubble of space. Inside these quantized space bubbles, we have the physics of the weak and strong nuclear forces. In between quantizes space bubbles we have the physics of wave mechanics and gravity. The same process of quantized space cell absorption by elementary particles lies at the basis of both gravity on the macro level and wave mechanics on the meso level. It also produces inertia in a way that is, conceptually at least, somewhat similar to the Higgs mechanism by which elementary particles of the weak and strong interactions acquire mass. The concept of stochastic drift of quantized bubbles of space is a refined version of earlier 'velocity of space' approaches towards gravity.