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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.
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.
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.
Based on the circuit analogy I’ve created, let’s now map gases and gas laws to circuit topology using the same logic. This way, we can express the behavior of gases in the periodic table using electrical parameters.
Entropic impedance physics is defined as a new physical paradigm that combines energy transport modes, geometric curvatures and phase conformations in a single framework. This approach offers an interdisciplinary field theory.
Physical expression: In a pipeline, the flow entering is equal to the flow leaving. Analogical expression: – Flow (Q) ↔ Current (I) – “Current in = current out” → Same structure as Kirchhoff’s current law.
Proposition: “The potential difference resulting from resistance is weight.” Circuit analogy mapping: – Color space → Voltage source (𝑉s) – Entropic impedance → Resistance (𝑅) – Information/energy flow → Current (𝐼) – Potential difference → Voltage drop (Δ𝑉) – Weight → Spatially scaled equivalent of voltage drop (Δ𝑉/ℓ) – Mass → Weight divided by 𝑔
Maxwell’s analogy is a framework built on four fundamental equations that show that electric and magnetic fields are interconnected. Thanks to this analogy, it was demonstrated that light is actually an electromagnetic wave, and strong analogies were established between electrical circuits and wave behavior.
This article describes Quantum Circuit Topology, an original approach that combines quantum particle physics and circuit physics. The main starting point of the study is the idea that the laws of nature repeat in the same way at different scales. Particles such as quarks, gluons, electrons and neutrinos are interpreted as circuit elements; Quantum concepts such as entanglement, superposition, spin and color field are modeled in circuit-topological form. This analogical approach intuitively offers a new paradigm and has the potential to evolve into a scientific discipline with future experimental validation.
In classical quantum mechanics, the uncertainty principle is considered an absolute and immutable law of nature. The uncertainty product of complementary quantities such as phase and current cannot fall below a certain lower limit under any circumstances. In Ümit Arslan’s circuit-topological model, this approach changes radically. The uncertainty principle is not the necessary limit of nature; It is redefined as the measurement result based on the architecture.