This clever ring set shows the Enterprise engaged in saucer separation--a process which permits the primary hull to detach from the secondary hull. In the Next Generation, saucer separation was a fairly smooth process. In classic Trek, this was an emergency procedure assumed to be permanent. This Enterprise appears to be from the modern, re-imagined universe. I don't know what is canon about saucer separation on that ship. But we can assume that it portends ill for the relationship.
Allison Hourcade, a jeweler who maintains the RockLove studio, designed this ring. It's one of her many inventive designs. You can view more of them here.
-via Tor