This is the first post. I send updates daily.
I’m currently rewriting article 5. There have been extensive changes and so I should rewrite it from scratch. The article’s minimal usage of math notations points to how this structure is being developed. For example, the infinity axis mentioned in the leverage mechanism (Article 4) has been completely changed.
In this version of the structure, I’m adding objects with different properties and based on try-and-error, try to fix issues which appear along the way. It’s easier to develop properties and objects verbally (rather than mathematically) at this point. Math notation can be used when objects and their properties are clear. That is similar to programming. Before starting to write code, the overall structure should be completed.
The leverage mechanism includes infinity so it incorporates R extended. When infinity is added, a new zone, the ep zone, will be generated. In other words, R turns into R*PHI where PHI is a function of ep and reflects infinitesimally small fluctuations. The same fluctuations appear in the Riemann sphere since, again, infinity is added to C (i.e. R*e^(i*theta) turns into R*e^(i*theta)*PHI).
The leverage mechanism is similar in R and C. In R, z=0 gradually contracts. In C, the sphere contracts, as discussed in Article 5.
UPDATE 1:
According to Article 1, rapidly-moving objects undergo rotation (Terrell rotation) in the projection space. This rotation wasn’t clarified in the article. The leverage mechanism in Article 4 provides an explanation. The rotation of the infinity axis (which refers to the speed of light or infinity) generates scaling factors of v’/c and v/c (see Article 1). But according to the leverage mechanism in Article 4, R rotates as well. At the limit point of the sequence (v=c), the inf axis shrinks to a point (when the leverage bar has rotated for 90-deg). Put differently in this situation inf is gone (i.e. the perp vector has rotated for 90-deg). To clarify, the inf axis (which is based on the speed of light) is inf for massive objects (v<c). At v=c, the speed of light is not inf. According to Article 4, at the limit point of the sequence, the inf axis turns into zero. This holds true here too. At v=c the inf axis (which refers to the speed of light) turns into zero.
The rotation of the ct axis occurs in z_inf=-1 space as described in FS. In Minkowski, all these rotations have been combined into one diagram. So Terrell’s rotation and inclinations of ct and x axes in Minkowski point to the same phenomenon.