# Fluid-charge invariance in the Minkowski vacuum

Comments: 17 pages, 2 figures, typos corrected in the first version

We investigate the fluid-charge invariance of the Minkowski vacuum in the framework of the Minkowski vacuum model. We show that the fluid-charge invariance is satisfied in the limit where the resolution of the Minkowski equation is set to zero. We also show that the Minkowski vacuum is fulfilled in the limit of non-zero resolution of the Minkowski equation. We demonstrate that the Minkowski vacuum is satisfied in the limit of zero resolution of the Minkowski equation. We further clarify some of the use of the parameter space of the Minkowski vacuum model. Finally, we demonstrate that the Minkowski vacuum is satisfied in the limit of non-zero resolution of the Minkowski equation.