1) The center of the local universe is not the sun. The center of the local universe is the observer.
2) Gravity is not a force. Einstein showed us this. “According to the general theory of relativity, gravity is not a force. There are no gravitational fields. Gravity … is kind of an illusion” (see the video, below). The real source of gravity might surprise you.
3) There is no observer who can travel around the world, arrive at the same place, and have it be the same day. The globe is a fiction.
In addition to not seeing around corners, light will not travel 360 degrees. Light will choose the shortest path, the fastest route (see Max Planck). Once I travel 180 degrees, there is a shortcut available to me, at the diameter. Why would I travel 360 degrees when I can cut across, at the eclipse?
When faced with new information that challenges what we believe, one initial response—perhaps the natural response—is to dig in our heels and become defensive. But, over time, we do change. Science, in its ideal state, is immune to pride, bias, and special interests. Unlike other human endeavors, its only interest is truth.
The practice of science requires that we be humble, open, and supple. Do human beings possess these qualities? I think we do.