You have two panels, in three dimensional space. For the sake of this hypothetical, they are completely indestructable, cannot flex, bend, or warp, and ignore concepts like vaccuum. However, these are still real objects, and have mass, and can collide with eachother.

Each of these panels have dimensions as follow: X = infinity, Y = 1, Z = infinity. The two panels are laid on top of eachother, flat. The top panel with be called panel A, and the bottom panel will be called panel B.

Knowing that both panels are indestructable, can collide, and that it is impossible for them to ever lose their original shape in this hypothetical, what happens if you lift panel A, and then attempt to tilt it, even one degree?

I've been thinking about this for several years and I don't know what conclusion to make. I imagine that it would be impossible to tilt panel A at all, no matter how high you were to lift it above panel B, because as soon as the panels are no longer parallel they would impossibly intersect. But isn't it impossible for the panels to behave this way, too? It's only air between them, so why should panel A act as though it's being stopped by something solid?