In traditional electromagnetic units, the electric constant is a number that relates electromagnetic charge to mechanical dynamics. The New Foundations Model performs this translation by converting electric charge into units of time, giving new meaning to the electric constant. When we substitute Planck time for Planck charge, we get the magnitude and dimensions of Planck force and the speed of light squared for the electric constant.

The simple form of the electric constant is

## Force potential

The Planck force is the maximum field strength of the gravitational and electromagnetic fields. In addition to appearing in the electric constant, Planck force is the maximum potential embedded in the Einstein gravitational constant, Newton’s constant of gravitation, and the magnetic constant.

Two instances of the speed of light also appear in the constant but do not contribute to the potential. Coulomb’s law shows that these instances of pair up with formula inputs to become dimensionless operators acting on the maximum force potential. Inputs of distance and charge (in units of time) create ratios of the speed of light in the correct proportions to quantify the applicable force.

The elementary form of the electric constant is

but it is important to remember that two time dimensions and two length dimensions become dimensionless when the constant is used to calculate force.

## Electromagnetic unit conversion

The electric constant can be converted from units of farad into MKS units using the following conversion factor:

EM unit | Symbol | Conversion | MKS units |
---|---|---|---|

farad | F | 8.262 723 x 10^{-52} | s^{4}kg^{-1}m^{-3} |

Full table of electromagnetic unit conversions