We are told to exorcise wave-particle duality because it belongs to the past, in fact prior to 1927. So it’s acceptable to believe matter is neither wave nor particle. But in exorcising wave-particle duality. Why does the deBroglie relationship of momentum being inversely proportional to wavelength still remain? If particle is both wave and particle, DeBroglie wavelength is logical. But matter is now believed as neither wave nor particle. In fact the wave is just a probability amplitude. So using the language of probability amplitude, why does smaller wavelength corresponds to higher momentum? Physically, when you accelerate a particle to higher speed, and momentum increases, why does the wavelength decreases? Or what is the physical cause of deBroglie relationship of wavelength versus momentum? I spent all day trying to find answers but most sources have deeply ingrained wave particle duality and we are told in PF to wipe this concept forever however deBroglie wavelength equation animate it. And I think the reason it is not possible to exorcise wave particle duality is because the deBroglie wavelength relationship to momentum is still valid. And it’s really a wave particle duality.