The phrase "revolve on" denotes the central idea or theme of a particular subject or topic. Synonyms for this phrase include "center around," "focus on," "rest on," "hinge on," "depend on," and "pivot on." These synonyms highlight the importance of having a clear central point that holds everything together. When writing an essay or giving a presentation, it is essential to identify the main idea that the audience should take away, and then ensure that all supporting points revolve around it. Using these synonyms can make your writing or speech more interesting and varied, while keeping the message consistent.