I don’t understand the math well enough to actually know, but isn’t the reason why we even have a wave-particle duality because not only do we lack the precise language to describe the things that are waves-and-particles, but we also lack the precise equations to describe things as simultaneously waves-and-particles?

Like, the existing models can only describe the elementary constituents of matter as waves, or as particles, but there isn’t really a coherent model that can describe them as both at the same time?