So what are you trying to say? You are "almost" understandable. You call it "trivial mathematics," which is usually a cover for your inability to do it. Or you would come up with some mathematical demonstration...which you can't.
The fact is that all light rays from the sun radiate from the sun, and that radiation (spreading out in angular space) will be visible in the sky as well as anywhere, because we are looking up the cone of light from the sun, which is a tremendous foreshortening of the visual geometry. Since there is no other way it can work, you don't have anything. If the sun were closer, we would see and measure the difference. Doesn't happen.
So what are you trying to say? You are "almost" understandable. You call it "trivial mathematics," which is usually a cover for your inability to do it. Or you would come up with some mathematical demonstration...which you can't.
The fact is that all light rays from the sun radiate from the sun, and that radiation (spreading out in angular space) will be visible in the sky as well as anywhere, because we are looking up the cone of light from the sun, which is a tremendous foreshortening of the visual geometry. Since there is no other way it can work, you don't have anything. If the sun were closer, we would see and measure the difference. Doesn't happen.