If it's ultimately shown to be true, it would result in
minor changes to Gauss's laws.
It's hard to say much since I haven't read the full paper yet, but looking at the images of the condensates, it's looks to me like the whole condensate has taken on a type of polar "charge", with red and green regions representing different charge states in the condensate, with a blue "ring" representing a more neutral region separating them. They show several images of the condensate "ball" (for lack of a better term) from several angles, and that's kind of what it looks like to me anyway. I wouldn't jump to a lot of hasty conclusions yet based on one paper, but it's an interesting paper, and thanks for posting it.