«Physics is just “natural philosophy.”»

Used to be but not anymore. The difference is, natural philosophers, like Henry Cavendish, were amateurs, physicists are professionals. They are "Doctors of Philosophy", the professional offsprings of Scholastic Doctors of Philosophy. The switch from amateur to professional occurred with the advance of the science of electricity. Physicists were seen as the experts and they built the foundation of electrical industrial applications. But there is academic physics, which is like fine arts with no rules and restrictions and there is applied physics with strict rules.