Higher Dimensional Electrical Networks.
- When we define dimensions by geometry, first a point is presented, a singularity impossible to define in space.
Then two points apart in space can define a line, or at least a conception of one dimension.
Then three points in space can now hold a plane showing 2D placements in space by (x,y) coordinants in the established plane.
Likewise then as graduations go: four points in space can establish a reference point for a network of locations on the 3D (x,y,z) locations in that space.
Now in each of these dimensional representations of space, time has not yet been added as an added parameter of dimension; in which each case the factor of time involves the change of position of points on the established coordinant system given by the dimensions employed in the example as they act in time change itself, if in fact movement in space is to be described over time.
It is the great invention of Nikola Tesla to produce rotating magnetic fields in time by poly phased sources to produce motor action, but looking to how those fields are created I have always thought that the rotating fields themselves were created by illusion; almost like a magician's trick; and one must agree if fields work in concert over time at different locations of space, it does produce the illusion of a magnetic field rotating in space.
Given this fact, it becomes more difficult to describe the next step, becomes imagination becomes the case.
In order to produce the illusion of a magnetic field rotating in space, three separate coils and three separate timing sources are used. Because three separate timing sources are used; THE TIME PERIOD PHASE ANGLE DIFFERENCE FOR ONE CYCLE OF AC IS DIVIDED INTO THREE FOR EACH SIGNAL PHASING.
In space three points can define a plane, and four are required for reference in 3d space itself.
In time three divisions of cycle input can be schematically exploited as loads vs sources as either delta or wye, and the conversions between them.
However in that first common consideration, when the time of cycles is only divided into three for inputs divided in time, the line delivery currents to the divided arms of the delta loads must obey 2d planar laws of distribution; whereby the delivery line is the vector subtraction of the arms of current in the loads.
Like the dimensional analogy now well placed under consideration; IF INSTEAD THE TIMINGS OF CYCLE INPUTS WERE SPLIT INTO FOUR OR HIGHER SEPARATELY TIMED INPUTS; THE PATHWAYS OF LOADS THAT COULD BE ESTABLISHED BETWEEN THOSE INPUTS NOW CAN BE MODELED TO BE MORE THEN JUST A PLANAR PATHWAY ESTABLISHED BY THREE OF THOSE POINTS OF REFERENCE IN TIME; THAT CAN ONLY ESTABLISH A PLANE TO BEGIN WITH.
With four points of simultaneously created voltage differences; six pathways between them as loads can be made to exist; exactly as the simplest three dimensional pyramid appears in the mind.
The first argument that appears in the mind to go against the conception is the fact that in that making of voltage referenced points on the 3d pyramid, two of them will appear to be zero reference between them. But this is a delusion of time that is revealed as time goes on.
I have brought the conception forward of how and why a higher dimensional electrical network is possible, and luckily I have the means to proove it. But it can not be proved by a conventional generator that can only divide time into three parts.
Harvey D Norris