Revision of the SI Notation for Electromagnetic Quantities to an Exclusively mks System of Units

A system of units is described which replaces all the SI units for electromagnetic quantities with combinations of the meter, kilogram and second (mks units). There is a degree of freedom in the definition of the SI units which is illustrated by Coulomb’s Law. All that is required is that the ratio of the units of the square of electric charges to the electric permittivity ε0 be equal to Nm2. The alternate (Nms) method takes advantage of this situation by assuming specifically that the unit of electric charge is Nm and that for ε0 is N. It is shown that this assignment forces corresponding changes in the units of all other electromagnetic quantities which enables the resulting method to satisfy all the relationships covered by the SI method. The key advantage of the Nms method over the SI counterpart is that it is completely compatible with the relativistic Uniform Scaling procedure which determines conversion factors for the numerical results obtained in one rest system to those of any other. There are two fundamental quantities required for this purpose, one for kinetic scaling (Q) and the other (S) for gravitational scaling. Since the conversion factors for m, kg and s are known in terms of Q and S, it is therefore possible to determine the corresponding factors for all other physical quantities based on their mks composition. This is impossible for the strictly electromagnetic SI units, but is easily attainable when the Nms system of units is employed.