Enhancing wave-particle duality

Abstract: Although wave-particle duality is a cornerstone of quantum physics, standard approaches often treat waves and particles differently. To elevate wave-particle duality, in this paper we quantise mechanical point particles in the same physically-motivated way as we quantise light in quantum electrodynamics. In the approach we present here, instead of starting from Hamilton's equations, we consider Newton's equations of motion, which are mass-independent. In the resulting quantum theory, particles can occupy any position while moving at any velocity. Standard quantum mechanics emerges from our approach when certain semi-classical approximations are imposed.