Dusty Dark Matter Pearls Developed

Abstract

We briefly review and update our earlier published model for dark matter consisting of nanometer size bubbles of a new speculated vacuum phase in which some ordinary material, e.g. carbon, is present under high pressure caused by the surface tension of the domain wall surrounding the bubble. These bubbles or pearls are surrounded by dust grains, and it is one of the new points of the present article that this dust grain rather than being a three dimensional blob of ordinary matter is a lower dimensional object of some lower Hausdorff dimension. We make several order of magnitude fits and find rather good agreement for our model. However, we must imagine that the very high - 3.5 kev - homolumo gap assumed present in the highly compressed medium inside the bubble has influenced the neighboring dust, so as to make it significantly harder than usual dust. This is to ensure that we obtain the correct order of magnitude for the velocity in the region where the ratio cross section over mass falls drastically.The dark matter pearls loose their dust when impacting the Earth and the shielding. They must reach down with their terminal velocity through the shielding to the Dama observatory in less than a year, so that there is no problem in obtaining the seasonal variation effect the Dama experiment has observed. This is easier to achieve with a sufficiently high pearl mass and this mass is not so strongly restricted once the dust grain is lower dimensional.