Quote: "Carbon fiber materials are very light and string and could possibly provide the ball with the required low weight. Or maybe, some sort of very thin material on a carbon fiber frame, if that would be any lighter. I do indeed think it's possible, it's just a matter of finding a way to do it!"
I did some calculations with the density of carbon fiber (1.7g/cm^3), the density of air (0.0013g/cm^3) and a 1mm thick layer of carbon fiber. Unless my calculations are off (and they might be), you'd have to have a 4.4 meter sphere before it became neutrally buoyant.
I don't think it's implausible structurally. I mean lightbulbs have a pretty good vacuum and they're fine.
Maybe my math is wrong. I haven't double checked it, but I got mathematica for christmas (early I know

) and I was itching to solve some equations with it.