The 4th Dimension and “SUISHI (Vertical Element)”

Now, I would like to remind you of the contents of the Sirius file introduced in the issue before last:

KOHSEN: ‘What do you call the three-dimensional directions spreading out from objects/matters in Sirius?’

OCOT: “It is SUISHI. SUISHI is a line.”

　When I first received this information, I had no idea what OCOT was trying to tell me. However, as I continued to think about it, I came to the idea that this concept of “SUISHI” may indicate the axis in the four-dimensional direction. The word “SUISHI” had been simply conveyed to me by voice. Still, I applied kanji characters to this sound to give the meaning ‘vertical element,’ i.e., KANSATSUSHI (a Paratiron) crossing the third dimension vertically, for I intuited that “SUISHI” was a concept that signified the direction of the fourth dimension for us.

 In our perception of space, it seems that the directional “axis” of the 4th dimension enters as a whole 3-dimensional “spherical space” which extends from objects. ……… If we think in this way, we can expect that the 3-dimensional spherical spaces of ψ3 and ψ4, which are inverted from each other, may have a connection with the 4th axis to compose the 4-dimensional world. To strengthen this image, we will now look at the relationship between the two 3-dimensional spherical spaces formed by ψ3 and ψ4 metaphorically expressed in one dimension lower while also considering other spherical spaces ψ*3 – ψ*4 created from the “Other’s” side (see Figure 1 below).

 In Figure 1, the 3-dimensional space is defined by a plane. Then, the 4-dimensional axis can be expressed as a line orthogonal to this plane, while the 3-dimensional spherical spaces formed by ψ3 and ψ*3 are shown as two small 3-dimensional spheres P and P* touching at the origin 0 on each plane. Since both spheres, P and P*, have the radius whose lengths are i t and –i t respectively. And they are [1] [2] collapsed into zero radius in the 4D direction. Therefore we[3] [4]  might regard them as the origin 0 itself. However, there exists a difference between “GAIMEN (the Outside; the visible space) “of oneself and that of the other* in the mutual inversion relationship. In that sense, the radii of those 4D spheres are shown as Δw and -Δw having infinitesimal lengths. When the 3-dimensional space (the 3-dimensional plane) is rounded into the sphere ψ3 or ψ*3, the infinite distance is identified with a single point ∞ or ∞*. Naturally, these two points indicating infinity in mutually inverted 3-D space are on the 4-D axis.

　On the other hand, the spherical spaces of ψ4 and ψ*4, when combined with the time axis t, are illustrated as two trumpet-cap-like surfaces (3-dimensional hyperbolic surfaces). These shapes derive from the following mathematic equations:

x^2+y^2+z^2+w^2=1— this is the equation for a 3-dimensional spherical surface ψ3 and ψ*3

x^2+y^2+z^2-w^2=1—  this is the equation of a 3-dimensional hyperbolic surface ψ4 and ψ*4
　The figure shows that the 4-dimensional axis that expands this 3-dimensional hyperbolic surface corresponds to the time axis t. Since the direction of time for oneself and the other will be the same, we apply t for both. It also implies that spacetime is created by identifying ψ4 and ψ*4 because the sign of time does not change between oneself and the other.

Thus, directionality exists on the 4D axis, which defines 3D space in two different kinds of “KATACHI (structure, form) by inversion of the 4D axis itself. Noosology regards ψ3-ψ*3 as “KATACHI (structure, form) of 3D space in “GAIMEN (the Outside, the visible space) “of human beings, and ψ4-ψ*4 as “KATACHI (structure, form) of 3D space in “NAIMEN (the Inside; the invisible space)” of human beings. As mentioned in 2013: The Day God Sees God, Advanced Edition, this means that “GAIMEN (the Outside; the visible space) “of human beings is rounded and affixed to a point on the spacetime (3-dimensional hyperbolic plane), which is “NAIMEN (the Inside; the invisible space)” of human beings.

I raised the question earlier in this series of essays; “Where on earth did ψ3 go?” We can find the answer to this question here. That is, “GAIMEN (the Outside; the visible space) “of human beings is reflected as a 3-dimensional spherical monad (spirit = unconsciousness) everywhere (every origin) in space-time. You will soon notice that this reflection has a deep relationship with complex space, which physics describes as the field of elementary particles. In other words, complex space is the structural body of “GAIMEN (the Outside; the visible space) “of human beings’ unconsciousness. The important and unique claim of Noosology,  “elementary particle space corresponds to the field of the unconscious structure in human beings,” is developed based on this idea.

 Now, let our focus return to the 4-dimensional axis. As shown in figure1, it looks like the 4-dimensional axis has the whole 3D sphere condensed into one line, just like closing an umbrella.

We see the difference between the ψ3 side and the ψ4 side here: The ψ3 side identifies the infinite distance of the 3D space with a point on the 4D axis and traces only half of the form of the 3D sphere (which means that it is not yet a 3D sphere as a manifold). On the other hand, the ψ4 side is in a state where the 3D space is left open infinitely (ψ4 is not yet a 3D space as a manifold either, as in the case of ψ3).

The ψ4 side has the opening of 3D space because the observer has assumed their eyes to be in front of the object. Without this assumption, there is only a space of infinite depth in their view field. In that depth, there is only light as no time, which makes the field of view itself visible. Moreover, the three-dimensional spherical space must be considered a line segment in this light field. In other words, “Once you enter this field, you must see what you have seen as a sphere as a point.”

The transformation of a spherical concept into a line concept – in Noosology, such a conceptual operation is called a “Sphere-to-line transformation.” Please keep in mind that such a “Sphere-to-line transformation” always occurs when ”JIGEN-KANSATSUSHI（Dimension-Paratiron)“rises dimensionally to a higher level ”KANSATSUSHI（Paratiron).” For example, remember the practice of experiencing your perceptual leap from the spherical space of ψ1-ψ2 (the object/matter) to the spherical space of ψ3-ψ4 (the 3-dimensional space around the object/matter). At that time, you must have already confirmed the perceptual fact that when you observe the objects/matter rotates, the background space does not. Applying the idea of “Sphere-to-line transformation,” the spherical space of ψ1-ψ2, topologically represented as an object/matter, will be reduced to a line segment in two directions orthogonal to the spherical space of ψ3 – ψ4.

In other words, the gaze of an observer on a single object/matter encompasses all visible surfaces of the object/matter, called “HYOHSOH (the surface look)” in Noosology. The same thing will happen to “SUISHI,” which has a spherical space at the ψ3-ψ4 level.

  In this sense, the “Sphere-to-line transformation” becomes a kind of geometric procedure for a leap to the next dimensional level of ”KANSATSUSHI(Paratiron),” the ψ5-ψ6. This procedure is critical. Only when we regard a spherical space of 3D as a line by “Sphere-to-line transformation” can we understand the significance of the line in the spherical space of 4D. If we carry the image of lines and spheres in 3-D space into 4-D space, 4-D will only appear as 4-D space-time, and we will never be able to see 4-D space.

“Unlike a shift from two dimensions to three dimensions, a shift from three dimensions to four dimensions is considerably different, even though both are shifted by one dimension.”

            　　　　　　　　　　　　　　　　　 2013: The Day God Sees God, p.49 

— To be continued