It should be Einstein-Laub Equations inside Matter

TL;DR

This paper argues that Einstein-Laub equations, rather than Lorentz force law, accurately describe electromagnetic forces inside matter, aligning with experimental observations and broader physical principles.

Contribution

The paper provides a comprehensive analysis supporting Einstein-Laub equations as the correct force law inside matter, considering experimental data and theoretical controversies.

Findings

Einstein-Laub equations predict the total force inside matter accurately.

Lorentz force law is incompatible with certain experimental observations.

Einstein-Laub equations are consistent with the Abraham-Minkowski controversy.

Abstract

In a recent article [1], Mansuripur has claimed that inside the matter, conventional Lorentz Force law should be abandoned in favor of a more general expression of the electromagnetic force density such as the one discovered by A. Einstein and J.Laub in 1908. The main focus of the claim of Mansuripur is based on special theory of relativity. According to [1], Lorentz force law is incompatible with special theory of relativity. In this article, we have focused in favor of Einstein-Laub equations (Force law; associated stress tensor, momentum density, Poynting vector etc) from quite different point of views. Especially we have tried to include previously and recently reported experimental observations, Abraham, Minkowski and Nelson controversy, Quantum Electrodynamics and most importantly the significance of associated stress tensors to judge the problem from a broader and engineering point of view. At the end of the day, considering all the issues, we have found that only Einstein-Laub equations can predict the actual total force inside the matter and probably consistent with all other laws of Electrodynamics.