Antonyms for the word "center upon" include words like "disperse," "scatter," "distract," and "diffuse." These words suggest a lack of focus or concentration on a particular thing or idea. When we say that someone is centering upon something, we imply that they are directing their attention and efforts toward a specific goal, objective, or idea. Conversely, the opposite of centering upon is to be unfocused, dispersed, scattered, or distracted. For example, if a group of people is talking and their attention is scattered, we might say they are not centering upon any one thing.