muse |myoōz|
verb [ intrans. ] be absorbed in thought : he was musing on the problems he faced.
• [with direct speech ] say to oneself in a thoughtful manner : “I think I've seen him somewhere before,” mused Rachel.
• ( muse on ) gaze thoughtfully at.

DERIVATIVES
mus•ing•ly adverb

ORIGIN
Middle English : from Old French muser ‘meditate, waste time,’ perhaps from medieval Latin musum ‘muzzle.’