Ümit Arslan

Literature According to Fractal Mechanics

The definition of literature in fractal mechanics transforms the classical understanding of literature into a multi-scale, self-repeating, and motif-based structure. Here, literature is not merely a linguistic production; it is also seen as the mathematical and aesthetic expression of the stream of consciousness woven with fractal structures.

The Moral Philosophy of Fractal Mechanics

According to fractal mechanics, the understanding of morality does not consist of one-dimensional rules or fixed norms; it arises from the arrangement of multi-scale, self-repeating motifs tied to energy flow. In this approach, morality can be defined as a fractal ethical network where individual choices are connected to universal resonances.

New Laws of Inheritance According to Quantum Fractal Biology

Mendel’s laws of inheritance (dominance, segregation, independent assortment) are the cornerstones of classical genetics. However, when viewed from the perspective of quantum fractal biology, these laws are merely a simplified projection of a “linear” model. The fractal approach proposes that inheritance is a multiscale network woven with energy motifs and shaped by quantum resonances.

Quantum Fractal Electronics – New Circuit Laws

Quantum fractal electronics redefines circuit behaviors beyond classical Ohm, Kirchhoff, and Maxwell laws through fractal dimension (𝐷𝑓), multiscale resonance, and quantum entanglement motifs. The goal here is to explain electron flow not only with linear resistance/capacitance but with self-similar energy distributions.

Laws of Fractal Optics

The laws of fractal optics are a new framework that explains the behavior of light beyond classical optical laws through multi-scale and self-similar structures. In this approach, fundamental laws such as reflection, refraction, and diffraction become scale-dependent; light produces both regular and chaotic patterns.