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The fractal analysis of Surah Al-Baqarah is structurally based on “ring composition” and multi-scale thematic symmetry. In this surah, the verses are connected to each other through mutual echoes and symmetrical repetitions among the introduction–development–conclusion sections.
Below are resources on fractal mechanics, fractal atom theory, and quantum mechanics. These are based directly on academic and theoretical studies; some address the classical foundations of quantum mechanics, while others deal with fractal mathematics and physics applications.
In natural systems, the “energy carriers” motif represents the transformation mechanism that provides energy to the system. On a cellular scale, this task is undertaken by mitochondria and electron transitions, while on a cosmic scale, it is carried out by the nuclear fusion of stars. The essence of the motif: Energy is produced at the center and distributed to the system through carrier mechanisms.
The “Orbit–Trajectory” motif represents the dynamic order rotating around a nucleus or center in natural systems. At the atomic scale, this appears as electron orbits, and at the planetary scale, as planetary orbits. The essence of the motif: The center gathers energy, and the surrounding structures move in regular cycles.
Interpreting Descartes’ thoughts according to fractal mechanics makes it possible to reread his “quest for certainty” and “methodical doubt” approach as multi-scale motifs. Although Descartes’ proposition “Cogito ergo sum” appears as an absolute starting point on a single plane, from a fractal perspective, it is understood as the core of consciousness motifs repeating at different scales.
Gabriel Garcia Marquez’s works can be read from the perspective of fractal literature through their repeating motifs, cyclical time, and narrative structures that reproduce themselves in a self-similar manner. The motifs seen in his texts, from “One Hundred Years of Solitude” to “Chronicle of a Death Foretold,” exhibit the same structural patterns at both the micro and macro levels, much like fractal geometry.
Let’s build the quantum fractal atom theory step by step. This theory aims to explain both energy levels and wave-particle behavior through multiscale repeating structures by extending classical atomic models (Bohr, Schrödinger) with fractal motifs.
In systems in nature, the “core-center” motif manages its environment by gathering energy and order at the center. This motif repeats in a self-similar manner from the atom to the cell, from the planet to the galaxy.
The “Membrane-Boundary” motif represents the protective barrier that regulates the internal-external interaction of systems in nature. At the cellular scale, this manifests as the cell membrane, and at the planetary scale, as the atmosphere/magnetosphere. In both cases, the function of the motif is the same: to protect internal processes, filter external influences, and maintain equilibrium.
The fluid medium motif represents the carrier medium through which internal processes in nature flow. This motif repeats in a self-similar manner from the atom to the cell, from the planet to the galaxy. The cytoplasm and cosmic gas clouds/oceans – are the counterparts of this motif at different scales.