The Lorentz Gauge is defined as the following

In direct opposition to the Coulomb Gauge, the Lorentz Gauge is utilized in Electrodynamics as opposed to Electrostatics.

Applying the Lorentz gauge yields the inhomogenous wave equation for the combined maxwell law thing in 2024-04-4 The Potential Formulation

What is a gauge?

  • A function introduced into a field equation to produce a convenient form of equation but having no observable physical consequences.
  • Important property of gauge transformations is that the electric and magnetic potentials must be gauge invariant.