The discussion centers on the distinctions between applied mechanics and mechanical engineering, particularly in the context of a degree from institutions like Caltech. Applied mechanics is perceived as less popular and possibly less prestigious compared to physics, which is often viewed as a more esteemed field. Participants suggest that students should explore both disciplines through introductory courses to determine their interests, as personal preferences can significantly influence career choices. There is a sentiment that applied mechanics may not be as relevant or useful today, especially since many fundamental concepts in mechanics are well understood, leading physicists to focus on more advanced topics like quantum physics. Overall, the conversation emphasizes the importance of firsthand experience in making informed decisions about academic and career paths in these fields.