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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.
This report presents a technical framework for wildcard/carrier elements and photon-based energy transport methods, their circuit counterparts, and applicability.
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.
By studying the frequency spectrum of gravitational waves, we aim to investigate how it relates to the fundamental parameters of universal resonance and the energy transfer mechanism (e.g., gravitational acceleration and mathematical constants).
Building a comprehensive electromagnetic theory with the Ümit model could offer a new framework that integrates fundamental physical concepts such as wave functions, resonance principles, and energy density distribution.
The core of the model is the variation of energy concentration and spectral content with the sequential use of two concave lenses. When the two lenses are in contact, the total focal length is written as 1 / 𝑓total = 1 / 𝑓1 + 1 / 𝑓2, where 𝑓1 = 𝑒 and 𝑓2 = 𝜋. The wave function used in Fourier analysis is the superposition of two characteristic frequencies (scaled by e and 𝜋) and an extinction term, resulting in the peak structure in the total spectrum. We can integrate this structure in 5G/6G by coupling it with photonic fronthaul, optical carriers, and spectral slicing.
In this work, we investigate how quantum gravity shapes the paths of wavefunctions in the virtual world. In the physical world, gravity depends on mass, but in the virtual world, we propose that this effect determines the most probable paths of wavefunctions.