Mused

She mused about her favorite cartoon characters while staring out the window.

He often mused about his favorite superhero while playing with action figures.

He mused about the possibilities of time travel while watching a science-fiction movie.

The detective mused over the clues at the crime scene.

He often mused about the entertaining anecdotes his colleague shared with him.

He often mused about the state of the world while walking his dog.