You cannot see the sun when it's on the opposite side of the disk because air is not transparent. Over a distance the light from the sun diffuses.
Erm......
Not really.
I mean yeah, but you're talking about some significant distances here. The human eye is capable of seeing a single candle flame 1.7 miles away.
(And this is one of the more conservative estimates I've found from searching)http://www.technologyreview.com/view/539826/how-far-can-the-human-eye-see-a-candle-flame/Even if- as proposed by some- the sun were 32 miles in diameter, the exponential increase in the distance from where this could be viewed from above negates the possibility that the sun would not be visible from altitude.
Say a single candle flame is 1" in diameter. and we use the estimations in the above link, then round DOWN from 1.7 miles to 1.5 so we're dealing with round numbers.
Pretend that the sun is 32 miles in diameter.
Supposing:
at 1" in diameter, flame is visible at 1.5 miles.
at 1' in diameter, a flame is visible at 18 miles.
at 1 MILE in diameter, flame is visible at 95,040 miles.
at 32 miles in diameter (oft proposed size of sun).....
3,041,280 mile visibility. Again, this is using a conservative estimate, and rounding down from 1.7 to 1.5 for the sake of simplicity. AND assuming that the sun wouldn't be any brighter at the base measurement than a candle flame.
There's no way that you'd not be able to see the sun from any less than 3 million miles away.
***Now, all of this hinges on my candle flame being 1" in diameter. Granted, that's a big flame and an arbitrary number chosen for simplicity. Shrink the size of the candle flame down to something more realistic, and the numbers go up. With a 1/8" candle flame, you're talking about
5.8 million miles of visibility at 32 miles in diameter of the light source. Given this- let us now play with the conventionally accepted size and distance measurements of the sun.
at 864,948 miles in diameter, and 92 million miles away, the ONLY way that we would be unable to see it is if it is on the other side of where we happen to be standing, ie: on the other side of a globe.
And, since nighttime actually happens, this can be the only explanation.