The phrase "crosses path" typically refers to an encounter or intersection of two individuals or groups. Some antonyms for this phrase would be "avoidance," "separation," or "non-intersection." Instead of crossing paths, individuals may deliberately steer clear of each other, go their separate ways, or simply not intersect at all. Other antonyms could include "unrelated," "unconnected," or "divergent," as individuals or groups may have no reason to meet or interact in the first place. Antonyms for "crosses path" may indicate a lack of interaction or connection, highlighting the potential for isolation or independence rather than socialization.