Which of the following statements best describes the relationship between wave-particle duality and quantum superposition in the context of the historical development of quantum mechanics?

Wave‑particle duality showed that light and matter act sometimes as waves and sometimes as particles, a fact that led Einstein to propose photons and de Broglie to suggest matter waves, hinting that objects can have two seemingly opposite natures. This duality suggested that the state of a quantum system could be a mixture of many possibilities at once, a concept that became formalized as quantum superposition. Schrödinger’s wave equation made it clear that a particle’s wavefunction could be a superposition of different positions or momenta, unifying the dual behaviors mathematically. Thus, wave‑particle duality sparked the idea that particles can be in multiple states simultaneously, and quantum superposition provided the precise language to describe that coexistence. For example, an electron in a double‑slit experiment exists in a superposition of passing through both slits, producing an interference pattern that reveals its wave nature.