**Maxwell's equations**are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electrodynamics, classical optics, and electric circuits. These in turn underlie modern electrical and communications technologies.

**Maxwell's equations**have two major variants. The "microscopic" set of

**Maxwell's equations**uses total charge and total current including the difficult-to-calculate atomic level charges and currents in materials. The "macroscopic" set of

**Maxwell's equations**defines two new auxiliary fields that can sidestep having to know these 'atomic' sized charges and currents.

"Not a single one of the equations universally taught as "

**Maxwell's equations**" ever appeared in any book or paper by James Clerk Maxwell; instead, they are Oliver Heaviside's equations. Maxwell's actual theory was written in quaternions, which is a complete system of mathematics." [The Final Secret of Free Energy]See Also

**Bearden**

**Bearden on Klimov**

**Bearden on Tesla and EM Source Charge**

**Edmund Taylor Whittaker**

**Figure 14.12 - Triple Equations to Represent a Single Sympathetic Event**

**Figure 16.00 - Maxwell and Thomson**

**Figure 18.13 - Scalar or Undifferentiated Mind Force**

**James Clerk Maxwell**

**On the Partial Differential Equations of Mathematical Physics**

**Scalar**

**Scalar electromagnetics**

**Scalar Potential**

**The Final Secret of Free Energy**

**3.23 - Hydrodynamic Equations - Vortex Motions**

**14.36 - Triple Equations**

**16.03 - Maxwell misses the mark**

**18.14 - Mind is the Ultimate Scalar Quantity**