Given that Coulomb's inverse-square law [1] takes the form of Newton's law of universal gravitation [2] if we write:

It seems reasonable to explore the use of complex numbers, as a data structure, to treat electrostatics in a gravitational context.

Given the assumption:

Mass would be:

A complex gravitational potential defined as:

would hold enouh information to describe the classical static interaction with a different body. Which could provide a framework to justify why we don't seem to messure direct attraction/repulsion between mass and charge, since the representation of this interaction is caught in the imaginary part of:

Consider a complex Momentum P

To write:

being:

Which points us to express magnetic phenomena in terms of P.

The description of Gravitoelectromagnetism [3] already gives us a good picture of the pattern. Converting Coloumbs into Kilograms using the following convertion factor, and allowing variables to be complex:

The full set of equations could be written as:

Subscripts m and e, refer to massive and electric quantities.