You have to remember that Larson started work on the Reciprocal System in the 1930s, during the Great Depression. No calculators, no computers--just graph paper, a slide rule, and a typewriter that didn't even have a plus sign on it (Larson's original papers had "+" as a dash with a slash typed over it). To understand something, you need to think in the context of the author, and know something of him. Larson's terms are correct for the time they were written; we've changed the meaning over the last 80 years. 23-skidoo, atomic passion!It is appearent to me that Larson redefines so many terms that the uninitiated may easily stumble over the vocabulary.
That is what I really appreciate about Mathis' history lessons. He interprets Newton and others in the context of 300 years ago, not modern context, in order to see the flaws in the reasoning.
Not sure to go with a reply from here, because there substantial logistic errors in your reasoning. For example:
That IS it's dual. A center can be represented by a point, or intersecting planes. Without linear, then you cannot have the concept of orthogonal, nor the concept of a flat plane, which, being non-curved, is linear--a translated or rotated line.When you state that a center point cannot exist without its dual, I say that it exists 'independently', and can be represented by the intersection of 3 orthogonal infinite planes (3-d).
Since you flatly deny "linear," then this comment is illogical because you cannot have lines or planes, nor radii. Neither can you have spirals, since that requires both an angular and radial (linear) velocity. Everything in your Universe must therefore be going around in circles.I simply would replace the word manifold withe the phrase, an infinity of lines and planes and would qualify the lines as radiating from a point and the planes must be all orthogonal to each other.
If you want to understand what we're talking about here, you need to assume either Larson's or the RS2 postulates, and see how the conclusions from THOSE postulates construct a world view.
Though I would like to know what the source of your theory is. I know I've read of these concepts before, the "first source and center" stuff, but no longer remember where I read it. Channeled? (I used to read a lot of that.)