Ümit Arslan

Circuit Model and Ohm–Kirchhoff–Coulomb Analysis for H2O

The following circuit maps the H2O molecule to a circuit topology using my “electrical circuit library” approach, translating the capacitive-resonant character of oxygen and the flow initiator/decelerator (switch/diode) role of hydrogen into a circuit topology. Bent geometry and polar bonds are modeled as directional flow (diode), charge storage (capacitor), and bond conductivity (resistance).

Predictable New Circuit Laws

This H₂O-based analog model allows me to derive unique laws that link molecular polarity and geometry to circuit parameters, in addition to the classical laws (Ohm–Kirchhoff–Coulomb). Below, I propose three different and testable “laws”; each involves a short formula, prediction, and verification step.

Atomic-Biological Circuit Atlas

This report presents an interdisciplinary framework that extends from modeling atoms using electrical circuit elements to circuit-based simulation of biological systems. The aim is to express both chemical and biological processes using circuit parameters, employing the periodic table as a circuit library.

Redefining the Number π\pi as an Optical and Energy Focal Point

Traditionally, π\pi is defined as the ratio of a circle’s circumference to its diameter: 𝜋=circumference/diameter
This is a fundamental constant in geometric and trigonometric operations. However, based on our analysis of mathematical focal points and optical-electronic systems, π\pi is not just a geometric constant; it may be a critical point where the energy density is focused!

Let’s Express the Idea That Time Is Shaped by Acceleration with a Mathematical Model

To begin, we need to create a function that shows how time is governed by acceleration. If we start with the fundamental relations of classical mechanics: [𝑎 = 𝑑𝑉 / 𝑑𝑡 ]
However, since our hypothesis is that time is governed by acceleration, we will define the time variable as a function: [𝑡 = 𝑓(𝑎)]
Here, \( f(a) \) is a function that shows how time changes with acceleration.