A new view on the superposition of quantum states and the wave-particle duality of particles

TL;DR

This paper introduces a coupled quantum vortex superposition state (CVSS) to better understand wave-particle duality, showing that vortex superpositions are physical formations and offering new insights into quantum interference.

Contribution

It presents a novel CVSS framework accounting for nonlinear effects, providing new methods for vortex lattice generation and a reinterpretation of quantum interference phenomena.

Findings

Superposition of vortex states corresponds to physical formation, not just mathematical sum.

New method for generating quantum vortex lattices.

Reinterpretation of double-slit experiment based on vortex state analysis.

Abstract

We construct a coupled quantum vortex superposition state (CVSS), since in actual physical systems, linear Schrodinger equations will not be available because of a nonlinear effect. By studying the dynamic evolution of CVSS both analytically and numerically, we show that the superposition of vortex states is not only a mathematical algebraic sum, but also corresponds to a physical process of formation. Moreover, a new method to generate quantum vortex lattice in CVSS research is given. By comparing with the density profiles and phase distributions of quantum vortex state, we have a new understanding of vortex state, which means that there is spatial degeneracy of angular momentum of a particle. According to this idea, a free particle can be understood as the center of mass of a ring-shaped matter in space. Thus, we revisit the double-slit interference experiment and give a new interpretation.