The difference between the two ”JIGEN-KANSATSUSHI（Dimension-Paratirons)“,ψ3 and ψ4

　Now, when we start to interpret the world of the perceptual front as a two-dimensional projective space, the image of two mutually inverted three-dimensional spaces overlapping in the space extending outside the object in front of us comes into being. This means that you will be able to create a picture of a space that you used to think was only a single 3-dimensional space, but is now overlaid with another space that has been turned around upside down.

　The cause of this superimposed image of two 3-dimensional spaces is the two directions of the light from the fourth dimension in the projection (actually, it would be better to think that the structure of this mutually inverted space is creating the light). As a result, these two directions of light coincide with the concept of “duality of direction of consciousness” in the OCOT information, and since this is also an important point, I will try to explain it carefully using a diagram (see Figure 1 below).

As I mentioned in the previous article, in a two-dimensional projective space, point P and point P’ shown in Figure 1 are considered to be the same. However, it turns out that there is a relationship between the front and the back of the projective plane depending on the direction of the projection. What this means is that from the direction of arrow A, point P on the surface of the sphere (on the convex surface) is projected onto the point P’ that is the pole on the opposite sphere (on the concave surface), while from the direction of arrow B, point Q, which is in contact with the back of point P’, is projected onto the opposite pole, point Q’, which is located directly behind point P across the sphere.

If this is the relationship of the direction of projection on a straight line, it is not so troublesome, but if this is the projection from all directions in the three dimensional space, it becomes a little more complicated. In fact, since we can rotate around a single object, if we regard our line of sight as a projection line, we can create the concept of a spherical space as a synthesis of our lines of sight when we travel around the object. If this is the case, then, depending on the difference in the direction of the projections of arrow A and arrow B, when these straight lines make a full rotation, two spherical spaces will appear, which have the inverted form of twisting the front and the back sides to each other.

Let’s do an exercise and sensitize ourselves to the twisting of the space. Let’s consider the projection from point P to point P’, indicated by arrow A, as “my gaze” and the projection from point Q to point Q’ as “your gaze”, and go around the object in a circle around it.

　The surface of the object as seen by me becomes the back of the surface of the object as seen by others, and likewise, the surface of the object as seen by others becomes the back of the surface of the object as seen by me, and I think you will come to understand slowly, that there is such a structure in the space that is actually perceived.

The same is true not only for the surface of things, but also for the background spaces. The background space seen from my side becomes the perceptual back, which is never seen from your side. Similarly, the background space seen by you becomes the perceptual back for me, which is also never seen from my side. In other words, as I always say, the relationship between the inside and outside of the 3-dimensional spherical space formed by “you” and “I” rotating around an object is opposite to each other. If these two spaces are expressed mathematically, the relationship between them is that of two 3-dimensional vector spaces whose bases are (1,1,1) and (-1, -1, -1). And the duality relation (chiasm) between these two 3-dimensional spaces with mutually inverted interior and exterior corresponds to what Noosology call as ”JIGEN-KANSATSUSHI（Dimension-Paratirons)“,ψ3-ψ4 and ψ*3-ψ*4.

Now, the following simple question may come up. If the three-dimensional spaces outside the object is mutually inverted, isn’t the space inside the object that represents the object also mutually inverted between one self and others?

It is true that such a thing can be said considering the nature of projective space. However, I am still not sure about this. This is because ψ1~ψ2 are not visible places, or the places of light, in the sense of “the thing-In-itself”, and we still do not know where these ψ1~ψ2 come from, just like Kant’s “the thing-In-itself”

As I said before, if ”KANSATSUSHI（Paratirons)“,ψ1 – ψ2 have a deep relationship with the space of “touch”, then we can say that the objects sensed through touch are the place where the primordial direction in consciousness is generated. It is an ouroboros-like place where the relationship between what can be touched and what touches is still undifferentiated. It is a place that can be called a trace of the boundary that separates the inside and the outside of oneself, a place that everyone has experienced as a newborn, but which has disappeared into distant memory with the acquisition of other senses and language.

You can close your eyes and gently touch the table while thinking about that nostalgia. You can even lightly slide your fingertips over the surface of the computer mouse. As Merleau-Ponty said, you will feel not only the sensation of the thing being touched, but also the sensation of the surface of the skin of the fingertip being touched at the same time. In other words, in the sense of touch, the sense of “what is touched is also being touched” is directly transmitted. The directionality released as ”JIGEN-KANSATSUSHI（Dimension- Paratiron)“ψ1 is probably not the position of the surface of the object being touched, but rather the entrance to the inner space of the object. Touching, on the contrary, awakens the body space as an inner tactile one. The spirit that permeates the world is throwing a new evolution towards “me” – perhaps that direction is the essential role of what we call perception. In this sense, we have to pull the space in which perception is composed out of its latent state and into its manifest state.

It is said that since modern times, humans have created a visually dominant perception of the world, but this is a bit short-sighted. Our perception of the outside world is still tactile, and we have not yet reached spatial awareness through the senses of smell, taste, sight, and even hearing, which follow the sense of touch. The sense of sight is too tied up with the sense of scale. This means that space is asleep, that our understanding of space is still in a state of ouroboros, like a newborn baby. When I always say that the human world is actually one giant cosmic egg, please think that I am referring to this undifferentiated state of consciousness.

As I said before, the sense of touch faithfully traces a scale. The sense of touch is a very Euclidean, or isometric sense when it comes to the concept of large and small. The size of an object that can be grasped with the palm of the hand is limited, and the range of objects that can be touched around the body is also limited. In this sense, tactile space is a much less flexible and lower dimensional space than visual space, which is a projective space.Oops, I’m getting sidetracked. I’ll talk about the relationship between the various senses and ”Dimension-Paratirons“ another time. In the next article, I will try to explain various aspects of the spherical space of ψ3-ψ4 again.-To be continued