You people say that the sun travels in a circle around the earth. It does not look that way to me.
The videos you posted are from within the Arctic circle. The same video could have been made within the Antarctic circle. How do you explain this?
No, it travels in a circle above the earth.
Regarding antarctica, I don't disagree that on a spherical earth this would happen, but no one I've spoken to could verify whether it happens on ours. How do you know it's true? Have you been to antarctica and seen this? I haven't.
Moreover, celestial gears would theoretically allow for a midnight sun in antarctica, too... I've simply never seen evidence that it occurs.