Towards the demystificatiom of quantum interference

TL;DR

This paper argues that traditional linear superposition cannot explain quantum interference for extended particles and proposes the need for nonlinear relativistic wave equations with soliton solutions.

Contribution

It introduces a novel perspective that quantum interference requires nonlinear wave equations with solitons, challenging the conventional linear superposition approach.

Findings

Linear superposition cannot account for energy distribution in extended particles

Quantum phase waves are not associated with single particles

Nonlinear relativistic wave equations with solitons are proposed as a new approach

Abstract

It has been shown that velocity of propagation of wave front cannot coincide with observable velocity of quantum particles. It is additional argument leads to conclusion that phase wave of de Broglie cannot be associated with single "elementary" particle like electron. Therefore quantum interference under linear superposition cannot describe energy distribution in extended quantum particles. Essentially new approach is required in order to establish non-linear relativistic wave equations with soliton-like solutions.