At first I was thinking, "Infinite Contingency" but not many people would understand what I ment by it. "Infinite" was relating to the Battle Rings, because rings circle in an infinite loop. "Contingency", when put into the correct context, means "trial". So in essence, I was going to pick the name "Ring Trial"...but "Ring Trial" sounds kinda lame right?
Well I ended up not using that one anyways because like I said, most people might not understand it. Then I came up with "Circus Gaiatus". Ok, so it's not much better in the understanding department, but at least it sounds cooler....to me. Besides that, it has a deeper meaning. "Circus" is Latin, from the Greek work "kirkos", meaning "circle" or "ring". And as we all know, Greece has quite a history of battle in their past. I then wanted to come up with a similar Latin/Greek sounding name for "Gaia", thus "Gaiatus" was born. In essence, the name is "Ring of Gaia".
I think it's pretty nifty myself, but what do you think?