A charged space as the origin of sources, fields and potentials

TL;DR

This paper proposes a physical interpretation of the wave function as a charge density, deriving Maxwell's equations from charge conservation and exploring models of charge mass related to electrostatic energy and zero point field energy.

Contribution

It introduces a novel interpretation of the wave function as a charge distribution and derives Maxwell's equations from fundamental conservation laws.

Findings

Wave function interpreted as charge density.

Maxwell's equations derived from charge and mass conservation.

Two models of charge mass linked by an energy equation.

Abstract

The wave function $\psi$ is interpreted as charge density, or charge distribution, at each point in space. This is a physical interpretation of $\psi$. The notion of speed can be associated with $\psi$, which leads to the concept of conduction currents and (displacement) convection currents. The charge distribution is the origin of electrical and mechanical sources, potentials and fields. The notion of self potential is essential for defining electrical or mechanical sources. Maxwell's equations are derived from the condition of charge conservation and mass conservation. There are two methods of modelling the mass of a charge: The mass of a charge is its electrostatic energy. The mass of a charge is the energy of the Zero Point Field (ZPF) that interacts with the point charge. It is shown that the two models are related by a simple energy equation for a particle at rest.