Some synonyms for the phrase "fan the flames" include "stoke the fire," "incite," "fuel," "enflame," "ignite," and "provoke." These phrases refer to the act of intensifying a situation or emotion, often in a negative way. "Stoke the fire" specifically references the heating up of a literal or metaphorical fire, while "incite" and "provoke" imply intentionally causing a negative or aggressive reaction. "Fuel," "enflame," and "ignite" all refer to adding to the intensity of a situation or emotion. It is important to be aware of these synonyms and their potential negative implications in both language and behavior.