Has the Lorentz-covariant electromagnetic force law been directly tested experimentally?

Abstract

So far, no convincing experimental evidence for the Lorentz-covariant electromagnetic force law has been reported. This paper utilizes an available experiment, which is often claimed as one of the most precise experiments in modern physics, to analyze the Lorentz-covariant electromagnetic force law. The Lorentz-covariant electromagnetic force law does not receive convincing confirmation by that experiment; rather, its analysis suggests that the Lorentz-covariant electromagnetic force law might be only approximately true. A clean experiment is proposed to test the Lorentz-covariant electromagnetic force law, avoiding ambiguities in the physical meaning of measures in the experiment and complications by other theoretical bones of contention than Einstein's special relativity itself. The proposed experiment can be performed with high precision within present technology.