Okay so to start, this is just about the most random inapplicable proposal ever, so bear with me. Its just a cool question to consider. So, here goes: What would happen, (again, this is highly theoretical) in the instance that an enormous screen - much like the ones that rests behind most peoples windows - constructed out of carbon nanotubes, for durability, that was somehow (basically impossible) fixed to encompass the entire planet about the cusp of the stratosphere, was just held up by its self? Like as in, what other option does it have other than to just support its self in the sky??? (excluding the possibility of its collapse upon its self, hence the carbon nanotubes) Trying to visualize this can be pretty titilating, as you soon realize that (assuming the construct cannot crumple) it would brace its self together with its own force, as a result of the entirety of the planet's gravity pulling on it from ALL sides with ALL equal force. Correct me if im wrong, but due to the properties of a sphere (globe), this construct WOULD NOT be allowed to descend any further towards the earth (past the stratosphere into the tropopause) because its resting position would be a greater surface area than anything below it, and if it cant contract or crumple... Starting to grasp the implications here? Not sure if it would be possible, but assuming it was, I dont think anything else could happen except for it to stay in the air, seemingly defying gravity its self, thousands of feet above every humans head.