The question that I always wanted to find an answer to, was that, if it is possible to have a few geometric transformations that would cover all possible transformations in the universe? For example, we see the transformation of spirals and vortices all around the universe. Therefore, searching for spirals and vortices in anything we see and feel, would not be a futile process. To some extent we will be successful. Similarly, teardrop to ellipsoidal transmission, that is also, we see everywhere. It is also nice to see that spirals are electromagnetic field while teardrop to ellipsoid is gravity like. Therefore, if we can build a grammar how 10-15 geometric transformations are all possible to occur in nature, we can really build a new kind of computer. That computer would search for 15 geometric transformations everywhere, thus, identify the clock in any input data. We simply assume that whatever be the form and format of the information, I do not need to know, but they would fall into the category of these 15 geometric transformations. Therefore, we can get input as a code of 15 geometric transformations, then, convert them into 15 geometric shapes embedded into clocks holding geometric shapes, then, convert that as a composition of metrics, running in a loop. The infinite series like clock architecture is converted back into the input image, using 15 geometric shape transformations. The interface between the computer and the nature is the 15 geometric shapes.
The information is, therefore, not geometric, rather, it is morphogenic. Extraction of geometric shapes and clocks are made from the database of morphogenesis classes of 15 types.
Human history is in a typical state, where a large number of entities are struggling to learn how a machine could learn all by itself? In our book nanobrain, we proposed that every single event that is happening in the world could be re-written in its actual form, using a 3D assembly of clocks, or spheres grown within and above. Then, 15 geometric shapes are enough to tell the story embedded in any event. Then we said that the dynamics of all geometric shapes are not astronomical, the variations could be assessed using only 15 primes. Finally, from the transformed spheres, that hold much more than input information, in fact it has become an infinite series of events, the real problem begins. Who would transform the information of 3D nested sphere to the real world information? We are grabbing the periodic events from a random mess of big data, not seeing everything. Therefore, retrieving information from the periodicity would be very difficult, or next to impossible?
At this time, we proposed the third trick, 15 transformation functions, just like the geometric shapes have a priority sequence, 15 primes have a priority sequence, similarly, 15 geometric transformations also have a priority sequence.
The above chart is taken from the nanobrain book. One could see that there are only 12, we would reveal three here, but one point is very important here. Out of 12, two options were excluded and listen in ten equations.
Therefore, we have a series of geometric transformations that are already sequentialized. Now, we need to make it to 15, by adding three geometric identities. Hexagonal close packing sheet making a circular 2D sheet, flat or curved and cylinder is one of the three, we see the use of hexagonal 2D lattices everywhere in nature. The second morphogenesis is a reduction of one shape from another. Say, two circles are there and we reduce one part from another. The third type of transformations is knot formation, various kinds of knot symmetries and their transformations are essential to understand nature. It is a remarkable statement that geometric transformations in the universe are limited.
In our computer, the finest of its abilities is that we do not neglect the dynamics, we simply capture it as a composition of 15 modes. The question is that for geometric shapes it could be proved that we do not need more than 15 geometric shapes, similarly we can also prove that we do not need more than 15 primes. The 15 basic metrics could cover all (86%). Finally, we have to find a similar proof for 15 classes of morphogenesis. First, we have to understand the physical significance of these geometric transformations.
- Curved surfaces of hexagonal close packed structures: Hemisphere, cylinder
- Teardrop to ellipsoid
- Spirals to straight line builds all known spirals then each convert to vortices
- Meander flower petals increase
- 12 holes on a sphere blinks
- Subtraction, addition, division and multiplication of 15 geometric shapes. Derivatives morph to original.
- Gasket infinite series generation, seed geometry creates fractal and vice versa
- Knot formation, e.g. Besel knots. They are like time polycrystal.
- Paraxiality: a rapidly dynamic process ceases to an apparent static mode, and opposite.
- 15 shapes changing to circle or sphere following e pi phi identity.
- Line to trident to corona: seeds of flowers to virus
- Love sign of various kinds converted into a flower like coffee cup effect, then into a circle.
- Branching as prime^n
- Circle to cylinder to lemniscata, two teardrops facing each other. e.g. cell division
- Creation of a vortex, a ripple of waves propagating
Finally, we come to a point where we find the condition, when to apply, which morphogenesis. Well it is very easy to convert these 15 transformations in terms of circles and when periodic changes are detected by an organic gel it identifies any dynamics with one of the 15 transformations. The composition of circles holds the information.
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