I want to see if a balloon can be inflated where space does not exist for it to expand to test the big bang theory if and how space can be created where space does not exist.
LOL :D
Three cheers for creative thinking outside the box
but I think you may have an impossible logical conundrum there.
My knowledge of physics is not good enough.
Have you read Steven Hawking's "A Brief History of Time."
I would say it's the best starting place to look for a possible answer to your question.
You can test this theory and many others like it at the Restaurant at the End of the Universe. To get there you'll need a towel, a probability drive, a babelfish...
I wait for the movies. :-)
LOL! Not exactly. Ever hear of Hitchhiker's Guide to the Galaxy?
Everybody conveniently forgets about the singularity. :-)
"Restaurant at the End of the Universe" is the sequel. :-)
What I'm getting at is that your condition of "no-space" in which to blow up a balloon is mistaken and nonsensical. Maybe you meant it as a joke, I don't know. But blowing up a balloon in 3 dimensional space is already a perfect analogy, if you can imagine that 2 dimensional beings could live on the surface. The analogy is not that the balloon represents the universe, with us 3 dimensional beings living inside the balloon, with "nothingness" all around. That would make no sense. The only thing the actual universe could be "expanding into" would be a 4th spatial dimension (don't confuse this with the 4th dimension being time; that's an outdated and kind of misleading idea) that us 3 dimensional beings don't have access to, just like the 2 dimensional beings living on the surface of the balloon don't have any access to the interior or exterior of the balloon.