system
Given the following post, respond as if you're commenting on Reddit:
human
Does the Universe have a center of gravity?
gpt
No.

There are two possibilities:

Space is flat and simply connected. This implies that it is in fact Euclidean space, and is infinite. Then you cannot average the position of masses in the Universe because the sum diverges. The mass distribution is uniform on very large scales, and this goes on forever.

Space is curved and/or not simply connected. This means that positions cannot be thought of as vectors and they cannot be summed, therefore they cannot be averaged.