A hypersphere represents a set of points at a constant distance from a given point, known as its center, but the choice of center and radius involves a family of connected probabilities referred to as random search. The term “hypersphere” was introduced by Duncan Sommerville in his discussion of models for non-Euclidean geometry. In our case (theory of Cogitality), we have three centers each with three frequency coordinates, determining a 9-frequency limitation of manifestation. The random search is the possibility of the appearance or disappearance of probable elements within the volume of a “virtual sphere with an undefined yet individual size.” Every act of thinking “draws” a frame with fixed parameters of the aforementioned frequency characteristics. Thus, with every moment through the act of thinking, a “virtual bounded region with a chosen individual size” is determined.
Additionally, the speed of thought can be examined as the rate of motion, reaching the surface of the sphere. The two states, oscillating at different frequencies, also play a role in creating a limited field (zone) where energy is retained, albeit transformed, to apprehend the unknown. Then, the “virtual sphere with an undefined yet individual size” carves out specific vibrations from the infinite frequencies of the Potential and creates a floating diffraction grid of interference patterns from the two states.