This is kind of obvious, but when you imagine point charge structures moving through T3S (Euclidean time and 3D space) we need a dynamical geometry that can quickly and easily calculate the electric field potential and it’s gradients at any point in T3S. 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. We might think of each path as a never-ending string, but I don’t know if that has any mapping to string theory. Since I’m touring geometries lately, let’s take a quick look.
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interact with each other. On distance scales larger than the string scale, a string looks just like an ordinary particle, with its mass, charge, and other properties determined by the vibrational state of the string.Wikipedia
Well, that definition shows there is no direct mapping from NPQG to string theory. However, it is possible that the geometry of string theory may be adaptable. Here are some ideas for a transformation.
|String Theory Misconception||Point Charge Remedy|
|“the point-like particles of particle physics“||It looks like through some combination of experimental limits and/or quantum mechanics uncertainty principle misconception that the term “point-like” is used in the definition as a euphemism for the standard matter structures for which physicists have effective theories describing these structures quite well. |
Nevertheless, there really are point like objects and they are describable parsimoniously as point charges with a magnitude |e/6| and they move continuosly through Euclidean space and time all the while emitting electrical fields which propagate spherically at speed @ which is the asymptote of c. Meanwhile the characteristics of the local net electric field and it’s gradient continuously act upon each charge. Self action is possible when v > @.
These energetic point charges, form structure and those structures are the particles described by the standard model.
Bottom line, it could be a good sign that string theory works with point objects.
|“one-dimensional objects called strings“||This needs to be changed such that the object is a point and it has a charge, which extends a string as it moves through T3S Euclicean space and time. Thus the string always has an open end where the point is located. The history string may be considered of infinite length in T3S.|
Aside : What is the proper mathematical terminology for an open ended string? I think “path” is a good term. What is the term for path generator? Self? Point? Charge? I think “charge” is a good term because it implies the current location of the point charge. Path history is the set of all past point locations in T3S, i.e., x, y, z for all t < the present.
The worldline, or string history, of a point charge has a length or distance metric that includes time and 3D space. That makes total sense and has dualities to special relativity.
Aside : special relativity has no understanding of the implementation of spacetime aether or the photon! How amazing is that?! In retrospect that was probably another missed clue.
|“String theory describes how these strings propagate through space and interact with each other.“||This is mappable. The language could be cleaned up to note what I said above about the business end of the string. |
We also need to cover how field objects propagate through T3S and how superposition works and the gradient of electric potential and the gradient of the gradient of electric potential. Not unsurprisingly, these relate to the T3S position, velocity, and acceleration of the point charge.
|properties determined by the vibrational state of the string||This doesn’t map. We can be far more specific than “vibration”. We can use the dynamical geometry of charge paths. This apparently requires a new geometry that draws upon ideas from many previously developed geometries.|
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 T3S 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 structures 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
p.s., It will be really fun to watch the ideation space in geometry as point charge theory goes exponential. Professional geometers will make tremendous progress quickly and reveal incredible insights.