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@Simi_2210_ 178

If you solve this, you’re different Can you solve ?

수학과 도메인 이론을 결합해 보았습니다. 'dcpo 공간내 순서방향으로의 자기참조 고정점 정리' 입니다. 기존에 업로드 했던 고정점 정리 대비 정리가 많이 되었습니다. doi.org/10.5281/zenodo…

Is circular motion closed? No. When you include the time axis, it becomes an open helix. We weren’t wrong— we were just using the wrong coordinates. And that difference reveals itself in a single ratio: τ/κ doi.org/10.5281/zenodo…

So I included the time axis in the endpoint trajectory of the double pendulum. Curvature and torsion appeared that don't exist in the conventional framework. Here's what came out of it. doi.org/10.5281/zenodo…

Came across a post about the double pendulum and its torus structure. Something felt off. Why does every visualization show a 3D object moving through time, yet the actual equations treat time as just a parameter — never a real axis in the calculation?

Consequently, the starting point and the ending point do not truly meet. ​I have organized these ideas into a formal piece. I’ve also uploaded a Korean version, so I hope you enjoy reading it! doi.org/10.5281/zenodo…

A circle drawn on a flat surface can be seen as the two-dimensional result of circular motion. As a pencil draws a circle, time continues to flow, causing the actual trajectory of that motion to form a spiral.

The mathematical constant π (pi) is the ratio of a circle's circumference to its diameter, expressed as an infinite, non-repeating decimal. I suddenly found myself wondering: why is it that these two lines never seem to meet in such a definitive way?

In the Ouroboros Operator I developed, π, e, and the Pythagorean identity emerge naturally — without any prior definitions. zenodo.org/records/193075…

I’ve uploaded a new preprint on Zenodo. A constructive Hilbert–Pólya type operator emerging from a self-referential (Ouroboros) framework. It suggests a structural route to the critical line Re(s)=1/2 via self-adjointness. doi.org/10.5281/zenodo…

We have updated the Fixed-Point Theorem to v3, extending the existence of the least fixed point on a pointed dcpo to a framework that characterizes the system's dynamical phase transitions. doi.org/10.5281/zenodo…

The paper unifies Shannon and Kolmogorov information theories. ​They are not opposing frameworks but two expressions of the same structure, transitioning based on the scale of observation. Everything follows necessarily from the equation itself.

A key proof: Self-Descriptive Minimal Complexity. ​The Ouroboros Equation is its own minimal Kolmogorov complexity description. When an object defines itself, its informational complexity remains constant and minimal.

New paper on Zenodo: "The Ouroboros Field". ​Building on my prior work, The Ouroboros Equation, this paper explores how self-referential cycles structurally compel their own continuation. ​Read the full paper here: 🔗 doi.org/10.5281/zenodo… ​#DomainTheory #Ouroboros

System = Operator = Architecture

This complements the Ouroboros Equation I shared previously. zenodo.org/records/187286…

We try to design a better future by reflecting on the past. ​I’ve shared a small mathematical exploration into whether a consistent, unique fixed point can exist within such self-referential systems. ​ zenodo.org/records/187147…

#QuantumPhysics #Retrocausality #TransactionalInterpretation #QuantumFoundations #Physics

I'd like to share an idea I've developed with AIs. I wanted to integrate the arrow of time, quantum measurement, fine-tuning, and the cosmological constant into a single equation. This is the Ouroboros equation. zenodo.org/records/187081…