Man, it'd be so funny if the entire atmosphere just straight up locked in place. Heck, forget rotation, have it keep it's X/Y/Z in the universe static and just straight up disappear as our solar system moves on.
Well at the very least, we're supposedly moving 2.1million km per hour along with the Milky Way, and 720,000 km per hour within the Milky Way (so it could be more or less if that's with Milkys movement or not), plus our own movement around our sun, so ... basically really fast.
My point is, having anything just freeze like a glitch would probably cause something terrible. Granted even relative to the sun is probably catastrophic so it's kind of a moot point, haha.
There is no "center of the universe" as far as we're aware I'm pretty confident. We (each individual) is the center of their known/knowable universe, but that's distinct from the actual universe. There's stuff beyond that that we can and will never observe.
I guess you could define the center of the universe as the average point of all matter, but since we can't observe much of the universe we can't know where that is.