We kind of already have a description for a consciousness information recording and storing in its being as in a body of cosmic information field presented by the Pythagorean spiral, if we read it from the creative and open-minded point of view.
In comment on Ark's blog dated March 22nd 2025, a possible 2 dimensional situation was discussed, copy-pasted in quote box below, while here maybe a bit more realistic potential 3 dimensional case would be presented. A related "hard core" math work would be shown in details on another occasion not to bludgeon anybody too much here.
Comment 22/03/2025 said:
In short, process of consciousness recording and storing information could be represented by
Pythagorean spiral, by the following description that speaks about 2-dim case, but most probably would work also for 3-dim.
We start at some point, observe around us and record the observation as a circle or "scan" and fill the area of a circle inside, as in complex scalar plane. This gives us unit radius as a measure. Then we go or step on the circle line of the area just drawn, going in tangent direction from where we previously were, at the beginning it's any direction as tangent to the point is just a radial line. There we make new observation which again corresponds to the area of the unit circle we just made, that is π. To store that information in our internal bodies or informational beings, we again go in tangent direction to the original circle in a unit length step, increasing our radius to Sqrt(2), which gives exactly enough area to store that π information just recorded, as R
2π is now 2π. The internal angle made by the unit step in tangent direction is tanφ=1/Sqrt(1).
In the new position we might again make new observation corresponding to unit circle area, π, and to store the information recorded we again make a step in tangent direction, increasing internal radius in n-th step as Sqrt(n+1) and internal area in each step for another π. The internal angle made in n-th step would then be tanφ
n=1/Sqrt(n).
So each observation would count as a rotation for 2π and an area of π, which would be stored inside with corresponding increase of internal radius, looking like Pythagorean spiral where each step or right triangle represents new observation and information recording.
In the context of dimensions, the Pythagorean spiral might be viewed as a sort of a template for multidimensional or maybe even more adequate term might be for infinitely dimensional informational consciousness being as in informational body. Such a representation can be geometrically "justified" by the fact that each new or next line of square root magnitude, i.e. Sqrt(n+1), is created by adding an unit 1 in perpendicular direction to previous square root line, i.e. Sqrt(n), which in such way then stands for the magnitude of the sum of unit vectors that are each perpendicular to the others, that is to the sum of previous unit vectors. And a unit perpendicular to the sum of other units is de facto representative of a new orthogonal dimension in the story, although such a view can rather quickly get out of sight when we work in only 2 spatial dimensions and draw things on paper as shown in the image below.
The image shows two connected spirals, rotated for angle π, so for this discussion we might concentrate on only one of them, and it doesn't really matter on which one. The greenish contour describes a circle of unit radius, which if we are going to talk about a 3 dimensional case, represents in fact a sphere or a ball of the same unit radius. The situation here might be considered as a continuation of that "initial" origin light spark or expanding light sphere that illuminated the consciousness as a being of cosmic information field described in short in Comment 4 of
second post in the thread. The unit radius of the being, that is our sphere here, might stand for the initial arrangement of information by truth which kind of makes the very core of our beings.
Having had our core beings well defined, we might take a look at the contact area with the rest or with the other parts of the cosmic information field. In our simple spherical 3-dim model in exposition here, the contact area can be represented by the surface of our being's sphere body, which amounts to 4πR
2. On the other hand, total so called solid angle (
Wikipedia link), which represents the overall let's say view we could make when we would observe the world around us in every possible direction, would amount to 4π. This then means that the total information gained or recorded from a complete scan or observation of the world around us, which would in fact include the cosmic information field inside and outside sort to say, would be 4π. And Pythagorean spiral describes an easy way how to store that information in the multidimensional informational being sphere body, sort of adding a new dimension to what's already there.
Geometrically it means "going" for a unit step in tangent direction, shown as blue unit lines perpendicular to Sqrt(n) radial lines in the image above, to the existing sphere, which surfaces are represented by red curves in the image. In that way, our radius of the being sphere body grows from Sqrt(n) to Sqrt(n+1), and the new surface of the being sphere is now 4πR
2=4π(n+1) which is exactly larger for that 4π recorded amount of information from the previous being sphere's surface, i.e. 4πR
2=4πn. Just like there are infinitely many ways to draw a line through a point, and so infinitely many possible ways to choose a radial line that would play the role of the sphere's radius and of possibly "starting" direction or reference line for an observation, there are infinitely many options to choose from when drawing a tangent to the sphere in a plane perpendicular to the already chosen radial direction. In other words, after each observation and recording of 4π new information, we basically have an infinite number of possibilities how to store that information in the being while still being and remaining arranged by truth. Of course, it is assumed here that we really know infinitely many ways or directions how to "add" new dimensions to our beings, just like in the manner of No. 8 of the short FOTCM SOP, quoted below.
short FOTCM SOP said:
- The world is rational.
- Human reason can, in principle, be developed more highly (through certain techniques).
- There are systematic methods for the solution of all problems (also art, etc.).
- There are other worlds and rational beings of a different and higher kind.
- The world in which we live is not the only one in which we shall live or have lived.
- There is incomparably more knowable a priori than is currently known.
- The development of human thought since the Renaissance is thoroughly intelligible (durchaus einsichtige).
- Reason in mankind will be developed in every direction.
- Formal rights comprise a real science.
- Materialism is false.
- The higher beings are connected to the others by analogy, not by composition.
- Concepts have an objective existence.
- There is a scientific (exact) philosophy and theology, which deals with concepts of the highest abstractness; and this is also most highly fruitful for science.
- Religions are, for the most part, bad but religion is not.
In addition to the above, we could point out how this description or exposition stemming from Pythagorean spiral might also point to the importance of working together as in the network and being collinear with others. When our core alignment is made by the objective truth, it is by extension collinear with any other arranged core beings by that very same truth. If two of that kind are to come together, their joined or unified being then has the size or the radius of (R
1+R
2), as R
1 and R
2 would be collinear. In that case the contact area with the rest of the cosmic information field would be not just the sum of the squares 4π(R
12+R
22)=8πR
2, when R
1=R
2=R, but the square of the sum, that is 4π(R
1+R
2)
2=16πR
2.
In that sense, we might say that the network of collinear beings represents or weighs more, possibly even two times more if and when perfectly balanced beings would be joined, than just a simple sum of individual beings each on its own.