Pilitron field theory

The pilitron field theory describes the interaction of fundamental forces in fields, in terms of pilitrons.

The field equation
The field equation is a function that returns the product of potential energy and the field's direction. Usually, one cannot precisely define the function, but its partial derivative can be found. Therefore, field equations are written in the form $$\frac{\partial \mathbf{F}\left(x_0, x_1, ..., x_i, ...\right)}{\partial x_i}$$.