I know how to spell photon. Does that put me ahead of you? 
"Spotlight" was just a metaphor for how the sun acts. Maybe it wasn't the perfect one but for the most part it fits.
I didn't say the sun's light gets weaker and weaker the further away you get from it. It's not the light itself causing the effect, it's the atmosphere.
I don't have English as a native tongue. Big deal. The fact that I can argue with you and are able to understand you, does that put me ahead of you? Also, the fact that you'd compare intelligence on the ground of spelling is just ridiculous.
Well you might not have said it, but it has to be so in order for your theory to be correct. Light loses its intensity when it travels through a more dense medium, like an atmosphere. If you'd look at the sun outside of the atmosphere you'll go blind. On Earth your eyes would hurt. But in order to have a dark night on one side of the earth would require a very weak sun or a much larger distance... or heck, why not a round earth that can actually obscure the sun itself?!
If I had an intense lightsource on a plain with an atmosphere, and you'd stand about 27000 miles way, you'd still be able to see light of that source. There are loads of formulae to prove this.