So, standing under the sun is like standing under a book.

I don't understand how this answers the question of the day and night cycle. Unless, there is dark matter rotating around the sky causing some parts of the earth to be in darkness at certain times of the day.
But then, how can we see the stars (since stars are farther than the sun) if this is what's happening. I GOT IT. The dark matter is the "book" we are standing under.
Maybe it is like this
_____dark matter____________ _______________
stars stars stars stars ( ) stars stars stars
( )
( sun)
----- <---- the angle of this dark matter is different depending where you are on the earth.
Seems perfectly reasonable, with as much credence as any of your explanations, this seems FAQ worthy.