The Rotating Interaction of the Compalphas

The Rotating Interaction and the formation of the Geometric Continuum

According to the propositions of TUIDG, there is no "quantum vacuum" formed by "energy fluctuations" in corpuscular form, or by "fundamental particles" of energy—such as real or "virtual" "photons"—that is, formed by "real things" that "emerge" from the unreal, from "non-being," from the Absolute Empty Space, only to disappear back into that same "nothingness." This idea is simply absurd, as this supposed "corpuscular mechanism" is inconsistent and contradictory and does not constitute a logical interaction mechanism. What exists, in this sense, is a Geometric Continuum, formed by the infinite Interaction Circles that constitute the infinite Compalphas, which connect continuously to form all the "chemical elements" or Merons of the universe.

The Compalphas are the fundamental elements of the universe, not in dimension, but in functionality. They are elements of toroidal shape, acting as fundamental Intrinsic Magnetic Fields, whose "lines of force" are called Interaction Circles. They possess an Apparent Motion of rotation, termed Rotating Interaction, which causes them to interact; this apparent spin is merely a geometric rule that indicates a clockwise or counter-clockwise direction for the Interaction Circles, for, according to TUIDG, there is no real motion, only Apparent Motion.

Presentation 3.1.1 — The mechanism of the Rotating Interaction of the Geometric Continuum

Based on the aforementioned animation 3.2.1, we can note that when we adopt a rotational movement for any given circle—within an infinite set of circles arranged hexagonally on a plane—we obtain a geometric functionality similar to that of gear wheels, which confers a simultaneous response to the rotational movement of all circles, regardless of their quantity, their extent, or the Structural Dimensions in question. This rotating mechanism extends to infinity in all directions and senses. Further ahead, we will see that its organization does not occur properly on a plane (2D), but within a volume (3D), and that these circles are the Interaction Circles that form the Compalphas.

We can observe that, in relation to the red circles with clockwise rotation (+1), there are always three blue circles with counter-clockwise rotation (-1) that rotate asynchronously with them, and another three blue circles with counter-clockwise rotation (-1) that rotate synchronously with them. However, there are circles that are in rotational conflict, as they do not rotate in synchrony with the entire set of circles simultaneously. When they rotate, some circles touch the domains of others in a contrary manner—that is, unsynchronized. Therefore, all red circles with clockwise rotation cannot be part of this functional geometric structure.

As seen in the animation above, the Synchronous-Spin circles (blue circles) form sets of six; these are the Alpha Sextets, which serve to represent the interactive structure of the Geometric Continuum in a bidirectional (2D) and simplified form, forming a chain of linked hexagons. However, when these sets of "circular cells" are represented in a tridirectional (3D) form—which is the true shape of the Geometric Continuum—the number of Synchronous-Spin circles is eight per geometric "cell." This new type of circular set now forms a cuboctahedral structure which, in TUIDG, is named Méron Metalpha, which we shall examine further on.

Presentation 3.1.2 — The spin mode of the Interaction Circles

The functionality of the Geometric Continuum structure, which possesses absolute dimension, may have any structural dimension and exist in infinite numbers. That is, infinite circles of any structural dimensions can exist, forming a functional geometric structure of infinite extent, without altering their operating principle. Despite being represented, at first, in a bidirectional (2D) form, this functional structure actually exists in a tridirectional (3D) form; that is, the interactions of this functional geometric structure occur within a volume just as they do on a plane, with few differences. The tridirectional (3D) representations of this structure will be addressed further on, once we have a better understanding of the functionality of the Alpha Component.

Presentation 3.1.3 — One of the four Alpha Triads of the Méron Metalpha

The Rotating Interaction is a convention of TUIDG that establishes an apparent rotational movement for the Interaction Circles of the Compalphas that connect to form the structure of the Geometric Continua. It is clear that this rotational movement is apparent and not real, for we are speaking of non-substantial circular forms that integrate a static structure, still as a photograph. This condition of apparent rotational movement is absolutely necessary for the very existence of the Geometric Continua and the functionality of the Compalphas; without it, we would only have a structure of circles disposed in any manner and devoid of any logical functionality.

Video showing all the steps of the formation of the Geometric Continuum

Even with an infinite number of Alpha Sextets (which are the Merons Metalpha), if the circles are in rotational synchrony, there will be perfect functionality. However, if at least one circle is asynchronous with the others, this will cause a rupture in the functionality of this geometric gear. Any configuration other than the one shown in the previous animation would cause rotational asynchrony—if not in all circles throughout the structure, then at least in some—which is sufficient to compromise the entire functionality of all the geometric components of this continuous structure which, in TUIDG, is called a Geometric Continuum.

When there is only one Alpha Sextet forming a simple structure, it is easy to understand rotational synchrony. However, when we have numerous sets of Alpha Sextets forming a structure with very large spatial extent, where the sextets are distributed hexagonally, we notice that some circles of some sextets touch other circles of other sextets. At these contact points, when the circles are synchronous, an equivalence of another Alpha Sextet arises with its circles in perfect rotational synchrony with the others.

There can never exist a "fundamental structural dimension" of the Geometric Continuum; that is, there is no "smallest of all" structure, since they are constituted by circles of dimensionless geometry—meaning they have any size. Therefore, there are infinite Geometric Continua present in the Omega Dimension, all with absolute dimension (infinite volume). When referring to the "Structural Dimension of the Geometric Continuum," one refers to the spacing between the points of its mesh—that is, to the distance and the size of the Compalphas—not to the absolute dimension of the Geometric Continuum, which is infinite. At first glance, without an understanding of how the Compalphas organize themselves in space to form the structure of the Geometric Continuum, it all seems somewhat disconnected from the physical reality we know.

Figure 2.1.1 — This is the simplified aspect of the structure of the Geometric Continuum.