Sorry for the late response, I was doing some chemistry homework and dozed off.
You've gotten to my conclusion, but really the whole verifiability is more of a test for whether or not your statement is meaningful than the reason that it's meaningless. The fact that all meaningful statements must be verified follows logically from the premise that you have to have some thought in your head before you can try to communicate that thought to others.
And you still haven't defined "higher" in this context. If I take you literally then we have a meaningful statement which can be disproved - if we look above our heads we don't see brains (sentient beings) floating above us.
And as Chimaera said, "outside this universe" means the same as "does not exist" since the definition of a thing which exists is a thing that is in this universe.
By higher I mean a being that knows more than we could ever know, something of a higher order. It creates but cannot be created or conjured in our imaginations. Like a sentient force that can't be measured.
Everything within the universe only exists because we can measure in some way. "God" is just as believable as how a singularity would come to be. Pertaining to Aristotle's four causes for existence/creation, a Singularity doesn't have a "Primary Source of Change or Rest" or a "Final Cause".
But, on the other hand "God" doesn't have a definitive "Material Cause" or "Formal Cause". so... :$
Absolutely no scientific field of inquiry has conceded to say the only possible explanation of something requires the existence of a higher power or a god. Ever. Yet throughout all of recorded history man has attributed the existence of natural phenomena to gods because it escaped their understanding, because that was the best they could do. Phenomena that has since been shown to be natural.
And it really doesn't respect the concept of causality. At some point, there has to be a first mover. It's much simpler to say the universe itself was the first mover, instead of creating another link in the chain of causality and adding to the overall complexity of the universe. I've already mentioned this. What created that higher power, then?
The higher power is the top of the chain of command, nothing exceeds this higher power. He was here before the universe came to be, so the laws of time and space wouldn't pertain to him. He'd have always existed, and would see no end. I can't completely wrap my head around the concept, but if there was nothing beforehand, the possibilities are endless. The Singularity that produced the big bang could have the same likelihood of somehow forming itself as a God creating it.