It leads me to wonder if there are correlations between the angular momentum of galaxies and their locations within the universe. And if there are, whether this can tell us something about the nature of the dark matter that dominates the universe, binds stars into galaxies, and binds galaxies into clusters. The motion of stars revolving in a galaxy already tells us how much dark matter there is, and how that mass is distributed in the neighborhood of a galaxy. Perhaps the galactic rotations of all the galaxies in a cluster can give us a better topological map of the mass distribution for the cluster. I wonder if cosmologists have considered this phenomenon, because I haven’t seen any mention of such a study before. I doubt it’s an original idea, because it seems like such an obvious thing to observe.
Notice that hurricanes, tornadoes, and the water falling down the drain spiral in a counter-clockwise motion in the northern hemisphere. They spiral in the opposite direction in the southern hemisphere. Hence, there is a correlation between angular momentum and position for these phenomena on the surface of the earth. I am suggesting that if we were to observe such a correlation in galaxies, it could tell us something about the geometry of space due to the gravity of the mass in that vicinity. e.g., these galaxies in the “north” are all rotating counter-clockwise, while those galaxies in the “south” are all rotating clockwise, so this suggests the cluster behaves as one big spherical rotating mass! Could there also be patterns to observe at even larger scales?
Perhaps the question was asked and observations showed no definite patterns due to naive interpretations. Imagine if the earth were transparent, and only hurricanes were visible to distant observers on Mars. In the north, they would see storms rotating counter-clockwise on the near-side of the earth, and storms rotating clockwise on the far-side of the earth. Without very accurate distance measurements, their observations would not reveal anything of note. I suspect this is precisely the situation we are faced with when looking at distant galactic clusters.