Chemistry

Fractal-Mechanical Classification of Elements

Viewing elements as fractals makes it possible to reclassify them according to mechanical principles. Because in the fractal approach, every structure is defined by motifs that repeat themselves on both micro and macro scales. Mechanical principles, on the other hand, allow these motifs to be classified according to their relationships of equilibrium, force, energy transfer, and resonance.

Fractal Catalysis

Fractal surface activity: Catalyst surfaces are not homogeneous; they possess fractal roughness and porous structures. The distribution of active sites is measured by the fractal dimension 𝐷.

Fractal Atom Theory: Spiral Flow, Motif, Orientation, Resonance, Scale, and Cycle-Based New Atomic Model

This study defines the atom not as a particle-based structure but as a multi-scale process formed by spiral-fractal flow modes. Proton, neutron, and electron correspond respectively to out-spiral (S⁺), equilibrium spiral (S⁰), and in-spiral (S⁻) flow modes. The atom’s geometry is expressed as a spiral-fractal manifold determined by motif functions, orientation field, resonance modes, scale fractality, and cycle periods. This approach transforms quantum mechanics into process physics, converts the periodic table into a motif-based fractal map, and redefines atomic interactions via spiral flow coherence.

The Chemical Interpretation of Fractal Mechanics

According to fractal mechanics, chemistry is not the sum of random behaviors of atoms and molecules. Chemistry is the repeating pattern of the energy–field–probability motif across scales.

This interpretation treats chemistry as a fractal structure along the chain: atom → molecule → macromolecule → crystal → matter. Below, each fundamental concept of chemistry is reconstructed through the five laws of fractal mechanics.

Novel Molecule Designs and Quantum Architecture Approaches Based on Periods in the Periodic Table

This work aims to build new bridges between chemistry, quantum information processing, and bioinorganic systems by presenting unique hybrid molecule proposals for each period of the periodic table. Designs ranging from H-He to superheavy elements are considered with different architectural roles such as energy lines, isolation chambers, reactive gates, and quantum circuit modules. Thus, a systematic roadmap for new molecular architectures is established at both theoretical and applied levels.

Fractal Orbital Architecture and Quantum Chemistry

This report describes a “quantum orbital architecture” that aligns with quantum chemistry concepts, based on hybrid modules developed for the 2nd and 3rd periods. The aim is to fill the gap in transition elements in the classical periodic table with hybrid modules and to model these modules as functional blocks in quantum information processing systems.