## The Dynamical Geometry of Charge Paths

This is kind of obvious, but when you imagine point charge structures moving through Euclidean time and space we need a dynamical geometry that can quickly and easily calculate the electric field potential and it’s gradients at any point in Euclidean time and space. Well, we really only care about the points where other point charges are located and experience action, so perhaps the geometry could take advantage of that as well. The geometry must be able to compute over a single continuous path per point charge.

How does the gradient of electric potential and the gradient of the gradient of electric potential take action on point charges. Not unsurprisingly, these relate to the Euclidean time and space position, velocity, and acceleration of the point charge. This is the crux of the matter and this is where we may be able to simplify Maxwell’s Equations and classical mechanics as well.

Point charges assemblies change shape and orientation depending on velocity. There are several aspects at play here. Imagine a point charge structure S with velocity of S being zero relative to the spacetime aether. However, the point charges in S are executing their local path equations. Now as we perform work on S, it accelerates, and it’s momentum increases. This adds a velocity v component to the path of each point charge in S. The point charges in S are also interacting, albeit lightly, with the spacetime aether local to the path. And to cap it all off, S can be reconfiguring to some degree every time it absorbs energy equivalent to an h-bar of angular momentum in the spinning Noether core. I hope this will be simple to understand with visual models and simulations.

J Mark Morris : Boston : Massachusetts