The phrase "center around" is a common expression that means to focus on something or someone. However, there are several synonyms that can be used interchangeably for this phrase. These synonyms include "revolve around," "circulate around," "orbit around," "spin around," "concentrate on," "be fixated on," "pivot on," "depend on," "hinge on," and "rest on." While each of these phrases may have varying degrees of intensity or specificity, they all convey the same general idea of something being at the core of one's focus or attention. Choosing the right synonym for "center around" depends on the context and tone of the message being conveyed.