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) The role of the observer is paramount. Fundamental. 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.
Besides, why would light ever travel 360 degrees around a circle?
Max Planck: “The photons which constitute a ray of light behave like intelligent human beings: out of all possible curves they always select the one which will take them most quickly to their goal.”
Light will choose the shortest path, the fastest route. Once I travel 180 degrees, there is a shortcut available to me, at the diameter. Why would I travel another 180 degrees when I can cut across, at the eclipse?
Maybe we need to rethink … Everything we think we know.