Mused

He mused about his past mistakes while sitting on the beach.

The detective mused over the clues at the crime scene.

He mused about the possibilities of starting his own business.

"The professor mused over the complexities of the theory."

He mused over the different possibilities for his business venture.

She often mused about the paradox of love and hate.

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