If you believe in UA and a dome, then the earth is accelerating at 32 ft/second/second and, apparently, so are objects in the sky. so a force adequate for that acceleration must be applied to the sun, moon, planets, asteroids, etc to accelerate identically. The material you propose is not strong structurally. The sun produces a huge measurable amount of energy and if the dome model is correct, the sun 35 miles across as calculated from a dome 3500 miles away (or maybe no one knows). Seems unlikely something that produces all that energy and is 35 miles wide would have So if the "dome" is made of aerogel, what holds up the sun? Is it so light that aerogel can support it or is there some other structure we don't know about?