What is the same for people surrounding me,
But different for people far away from me,
And if I move, it changes for me.
I think the answer is:
Time, or time zone
The time zone is the same for a region, but if you leave the region (go far), it changes. Moreover, if you move to a different time zone, the time is different there.
As simple as
people around you are in the same location, but those far away are not. If you move, your location changes.
Point of View? (In a very real, physical, 30 character long sense)
Those standing where you are share your perspective (angles relating to surrounding objects).
People far away have a different perspective.
When you move, your perspective changes.
I am thinking it is
SUN which means DAY
Because if it is
day and someone who is around you they can see SUN.
Who is far away from you, like on the other side of the globe, it will be Night for them. so they cant see SUN.