Articles

This report examines the behavior of the elements in the periodic table within the framework of the Fractal Behavior Mapping System (FBMS).

I present these points like a single technical report, title by title, with a full logical chain. This report can be thought of as a summary file that systematically shows why fractal mechanics goes beyond classical physics.

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.

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.

Group 1 – Alkali Metals Group 2 – Alkaline Earth Metals 3–12. Groups – Transition Metals Group 13 Group 14 Group 15 Group 16 Group 17 – Halogens Group 18 – Noble Gases Lanthanides (57–71) Actinides (89–103) General Line – Compatibility with Period Architecture Thus, the groups establish the chemical architecture chain in accordance with

The architectural score function is defined as follows: [F(n, l, m, s) = 2n + 3l + m + 4s] The function expresses the quantum state of each electron with a single score value.

Quantum architecture is the process of deriving quantum phenomena (superposition, entanglement, spin, measurement) from abstract mathematical expressions and rearranging them as a modular and functional system.

This report systematically defines energy, building, passage, and insulation modules by matching periods to architectural roles. Each period forms a unique architectural layer within its own chemical context.

A geoid is the surface where the total potential of the Earth’s gravitational and rotational effects is constant. In the classical definition, this is: Φ(𝐫) = Φg (𝐫) + Φc (𝐫) = Φ0 It is expressed as follows: Here, Φg is the gravitational potential, and Φc is the centrifugal potential due to rotation.

This is a framework that closes the line from atomic-circuit analogy to biology at the DNA level: it establishes the double helix as a “double-stranded conduction line”, base pairs as “paired diode-capacitor cells”, the sugar-phosphate backbone as a “periodic RC ladder”, protein interactions as “control transistors”, and replication/transcription as “state machine switching networks”.