Generalized Wave Functions using Space-time Algebra and its Interpretations

In this paper we introduce a generalized wave function of a quantum system which encompasses both wave nature and particle nature, simultaneously, in one function. With the help of these wave functions we reinterpret quantum mechanics in a more generalized and comprehensible way. In this new framework, we can do away with concepts like superposition principle and wave function collapse of quantum mechanics as all the quantum states are inherently present in the wave function. We also derive the canonical commutation relation and obtain the Heisenberg uncertainty principle directly from this generalized wave function. Finally, by explaining phenomena like quantum interference and electronpositron interaction we demonstrate how one can utilize these wave functions to describe quantum interactions. In the process of explaining electron-positron interaction we also find the reasons for particle-antiparticle asymmetry in the universe.