The framework that is being developed is based on the idea that relations between numbers can provide insight into physical phenomena. But now it is becoming apparent that this is true by construction. It means the spatial axis is used to generate the line of real numbers based on physical facts and observations, and this links physical properties to numbers. In other words, if numbers can be generated based on this method without any contradiction then properties and relations between numbers may also be expanded to reality and the physical world.
It was said before that R can be produced out of N by introducing fuzziness. Physically, it means forming a lattice on the spatial axis and then by adding fuzziness, turning each node into a cloud. Based on the previous sections ep objects form a cloud around each real number. But a cloud doesn’t have an origin. There is no one point as the origin of a cloud that is distinct from all other elements in the cloud. So any point can be set to be the origin and the cloud will be interpreted as a structure forming around that point. This provides a better explanation for the cloud of ep objects. There are no distinct ep clouds, instead, when a real number is reached (i.e. one element of the cloud is accessed) the cloud turns into the ep structure around that point. This is possible if the space between n and n+1 (for some natural number n) is constructed as a cloud.
UPDATE 1:
Physics equations specify relations between elements in the formula. Things are different here. For example in the paper model, the relation between the zero and inf planes is specified based on the graphs and diagrams that depict the model. In both cases, the relation between different sets of elements is specified, so in this sense diagrams in the paper model are similar to conventional equations. The difference is that, instead of math equations, relations are expressed as mechanisms. In other words, the paper model provides a mechanism that links zero and inf planes for example.
However, before developing the OOP structure, it’s more convenient to explain the structure verbally.