The antonyms for "lighting upon" could include words like missing, overlooking, neglecting, and ignoring. These words indicate a lack of attention or awareness towards the subject at hand, rather than stumbling upon it by chance or luck. A deliberate intention to avoid or disregard something also separates these antonyms from their counterpart. However, it is important to note that these antonyms may not be exact opposites of "lighting upon" as they describe different actions altogether. While "lighting upon" implies a sudden discovery, the antonyms suggest a conscious decision to ignore or not notice something.