Taking the 3rd verse of Surah Al-Fatiha as the base motif, let us analyze and explain its scaling across the other 113 surahs. The 3rd verse of Al-Fatiha: الرﱠحْم ٰ نِ الرﱠح ِ يم ِ “He is Ar-Rahmân (The Entirely Merciful), Ar-Rahîm (The Especially Merciful).” (Al-Fatiha 1:3)
The 2nd verse of Al-Fatiha: “Alhamdulillah rabbil-‘alamin” “All praise is due to Allah, Lord of the worlds.” If we look at it from the perspective of interpreting the Quran with the Quran, there are three core motifs here: 1. Hamd (praise, gratitude, exaltation) 2. Rabb (the one who nurtures, develops, matures step by step) 3. Worlds (multi-layered orders of existence)
Bismillahirrahmanirrahim This expression can be read like a fractal core. Allah → Source Rahman → The creative flow that brings from non-existence into existence Rahim → The flow that develops, protects, and matures what is created
In this study, the hypothesis that Surah Al-Fatiha is not only a summary of the Quran but also a core structure that forms the categorical map of the entire Quran is examined. Based on the “Umm al-Kitab” (Mother of the Book) approach in classical exegesis (tafsir), it is argued that the fundamental themes contained in Al-Fatiha unfold in a fractal manner in the other surahs of the Quran. Accordingly, the entire Quran can be read as a holistic knowledge structure consisting of the elaboration of the main categories in Al-Fatiha at different scales.
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.
Let us construct this model not merely by repeating historical Kemalism, but by rebuilding it as an internally consistent ideological system. The historical core is formed by the Six Arrows: Republicanism, Nationalism, Populism, Statism,Secularism, and Revolutionism (Reformism).
If we apply the Cooperative Fractal Theorem to chemistry, a rather powerful interpretation emerges: Classical Chemistry Interpretation In chemistry, there is generally the following approach: System = Sum\ of\ Atoms For example: 2H + O → H₂O Atoms combine to form a molecule. However, the properties of water: do not exist in standalone H or
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: