To understand the scope of the question, suppose that there are only two particles A and B in the Universe.
If A changes its position, then B must also change, because the barycenter of the system must remain unaltered. However, if the distance between both particles are very large, when the information from the position of A reaches B some time T has passed, and meanwhile A changes again. Perhaps, the existence of a single point as barycenter instead of a fuzzy region requires an instantaneous information, which contradicts relativity theory.
So what do you think,what should be the center of gravity of the universe?
First of all we have to define "center of gravity"...then question rises that there are some parameters that should be known...it is an interesting and very basic question..besides the words that students keep on remembering on books should be cleared....the concept behind the whole story should be cleared.....
You are right, the concept must be defined. In the initial question, I have changed center of gravity by barycenter, that is to say, the center of mass in order to improve accuracy. In other words: By barycenter it must be understood, the position average of all particles in the Universe, weighted by their masses. The question is to know whether such a definition is consistent, and by consistent it must be understood that it can be satisfied by a point at each time, disregarding whether or not such a point can be determined. Indeed, according to Newton's laws such a point exists, but its existence it is not clear under relativity or quantum mechanics.
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