Self-consistent Maxwell-Pauli theory

TL;DR

This paper develops a classical field theory called Maxwell-Pauli theory that reproduces quantum effects like hydrogen's emission spectrum and provides classical explanations for properties like electron spin.

Contribution

It introduces a self-consistent classical framework that captures quantum phenomena and clarifies the physical meaning of quantum properties.

Findings

Correctly reproduces hydrogen's spontaneous emission spectrum

Provides classical explanations for electron spin and magnetic moment

Shows quantum effects can emerge from a classical field theory

Abstract

We show that quantum mechanics can be constructed as a classical field theory that correctly describes all basic quantum effects. We construct the self-consistent Maxwell-Pauli theory, from which the correct spontaneous emission spectrum of the hydrogen atom follows. It is shown that many parameters, such as the spin and intrinsic magnetic moment of the electron, which are considered purely quantum properties of the electron and do not have a classical explanation, have a simple and clear physical meaning in the framework of the classical self-consistent Maxwell-Pauli theory.