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I am writing this as a draft of foundational axioms for Scale Physics. My goal is to first solidify the conceptual backbone, and then build a structure from which transformation laws, dynamic equations, and testable consequences can be derived from these axioms.
Author’s note: Because the study is very long, it was not uploaded to the site. The continuing text is the summary report of the study.
If I can develop the Cooperative Fractal Theory mathematically, its area of usage could be quite broad. However, it is necessary to divide these into two:
Scaling is of two types: The scaling of a single motif, and the scaling of multiple motifs combining. We can interpret this hypothesis from a fractal and biological perspective as follows:
The next analysis, Dark Matter, will be even more interesting in terms of scale blindness. Because there, for the first time, we will examine the scale relationship between an “observed effect” and an “assumed entity.”
When we move on to the Dark Energy analysis, the risk will grow even larger. Because what we observe there is not directly a substance, but the interpretation of the universe’s expansion behavior. Therefore, in terms of scale blindness, it is perhaps the most critical case.
Now we come to one of the most critical areas. In my opinion, one of the toughest tests of the scale blindness hypothesis is within Quantum Field Theory (QFT). Because here, different scale layers such as “field”, “particle”, “vacuum”, “measurement”, and “quantum state” are used intertwined.
The goal is not to refute Relativity. The goal is to identify the points within Relativity that could create scale blindness. So, we will ask the following question: “Are there scale shifts not within the mathematics of the theory of relativity, but in its interpretations or its extension?”
If we do this systematically, we can obtain one of the first serious tests for the scale blindness hypothesis. In the following analysis, I apply an important principle: The failure of a theory alone is not proof of scale blindness. But when a theory collapses, if the cause of the collapse is the incorrect identification of different scales, this supports the hypothesis.
I think this is a very important topic. Like velocity and momentum, for example. In this study, let’s classify all the physics terms used according to their scales. The main reason for many conceptual confusions in the history of physics is the interpretation of parameters belonging to different scales on the same plane. In my opinion, physical quantities should be classified not only as “scalar-vector” or “fundamental-derived,” but also in terms of their scale level.