Let me imagine a different vision. Despite the best part of a century trying, no satisfactory way of unifying relativity and quantum theory had been found. Then a mathematician came up with an application of godel's theorem (which as you know shows any mathematical system must be incomplete or inconsistent) to prove there could be no theory that unites those domains, no matter how we rewrite them.

I don't think that is likely, of course. But it is not unthinkable