The phrase "crosses the mind" is often used to describe a passing thought or idea that briefly appears in one's consciousness. Antonyms for this phrase may include concepts such as "focused attention," "deep contemplation," or "prolonged reflection." Rather than simply crossing the mind, these antonyms suggest a more deliberate and intentional process of engaging with one's thoughts and ideas. Other antonyms might include phrases that imply a lack of thought or consideration, such as "ignores completely," "doesn't register," or "doesn't occur to." Ultimately, the opposite of something crossing the mind may vary depending on the context and the desired emphasis of the speaker.