Electron spin and proton spin are not directly related, despite both being described by the concept of "spin," which is a quantum property rather than a physical rotation. The term "spin" is historically derived and can be misleading, as neither electrons nor protons actually spin in a classical sense. Instead, the concept of spin helps explain interactions and the conservation of angular momentum in quantum mechanics. The discussion emphasizes the importance of understanding the physics behind spin rather than visualizing particles as spinning objects. Overall, the conversation highlights the complexities of quantum mechanics and the terminology used within the field.