It was cool on the late summer night. Ning Xiaoshuai straightened the collar of his uniform,...
--- The End of the Third Mathematical Crisis: MOC Multi-Origin Curvature Geometry and the Restructuring of Mathematical Foundations
Author: Zhang Suhang
Abstract
Three foundational crises have marked the history of mathematics. The firs...
Application Chapter —— Grounded Mapping of the Three‑Layer Number‑Theoretic Structure in Computing and Engineering
Author: Zhang Suhang (Luoyang, Henan)
---
Abstract Based on the three‑layer structure of “prime primitive – regular co...
Analytical Solutions to Two Classical Challenging Problems in Statistical Physics within the Multi-Origin Curvature （MOC）and Maximum Information Efficiency （ MIE）Framework
Author: Zhang Suhang (Le Zhang, Bosley Zhang)
Independent Rese...
Imaginary numbers represent direction. Rotation changes direction. Translation changes position. Ellipses and hyperbolas differ only in real versus imaginary directions. They are fundamentally unified. People have long treated the ellipse,...
Wireless Power Transmission: Perhaps the True Future of MOSTraditional power grids are wired, fixed-point, and unidirectional by nature. In essence, they force energy into one-dimensional transmission lines, resulting in high energy loss, vulnerab...
The Meaning of Probability Theory in Multi-Origin High-Dimensional Geometry
In the classical framework of probability theory and single-origin Euclidean geometry, intrinsic randomness serves as the foundational presupposition of the theory. Pro...
Projective Generation Theory of Multi-Origin High-Dimensional Geometry and the Ultimate Convergence Principle of Two-Dimensional Figures This chapter establishes the ontological foundation and the ultimate closed-loop structure of the entire theo...
Arithmetic Field Steady‑State Solution Determination Rules Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical ParadigmSeries Number: Eighth Paper --- Abstract This paper is ...
Derivation of the Law of Universal Gravitation from the MOC Unified Curvature Extremum PrincipleAuthor: Zhang Suhang (Luoyang)1. MOC Unified Curvature Extremum Principle (Postulate)Let the spacetime manifold be equipped with a unified curvature sc...
A Physical Intuition Framework: Geometric Fundamentals Governing Quantum Phenomena This text does not seek to replace or negate the computational systems and experimental findings of established quantum mechanics, nor does it claim to have ach...
The Lower Half of Geometry – On the Number-Theoretic Foundation of Complex Structures
Riemann once said: All geometry is the local structure of a manifold. On this cornerstone, he unified the geometric world of the continuous, the smooth, and t...
On September 14, 2015, the LIGO detectors captured gravitational wave signals from the merger of two black holes 1.3 billion light‑years away. This landmark discovery not only verified the final prediction of Einstein’s general theory of relativit...
Somehow, Wei Ling had been staying home a lot lately. That night, he lay on the couch and...
Paper II: Rigorous Derivation of Symplectic Structure Breakdown (Proof of the Degeneration of the Symplectic Form boldsymbol{omega}) Author: Zhang Suhang (Luoyang School of Mathematics） Prerequisite KnowledgeFor a finite-dimensional Hamiltonian ...
Paper I：Rigorous Chain Mapping of Action–Potential Difference–Stability: The Local Reduction Essence of Symplectic Structure and Global Unification under ECS Author: Zhang Suhang (Heluo School of Mathematics) AbstractIn the classical mechanics s...
--- Reconstructed Axioms of Set Theory under the MOC Multi-Origin High-Dimensional Framework Within the MOC multi-origin high-dimensional framework, we first establish the top-level paradigmatic axiomatic outline of set theory. The following fiv...
--- Unification of Laplace Potential Flow Equation and Navier-Stokes Equations under the MOC Multi-Origin High-Dimensional Geometric Framework Author: Zhang Suhang (Bosley Zhang) Affiliation: Independent Researcher Email: zhang34269@zohomail.c...
Force as Potential Difference: A Theorem in Geometric Extremum Physics Abstract Based on the framework of Multiple-Origin Curvature (MOC) and the axiom of Maximum Information Efficiency (MIE), this paper rigorously proves that physical intera...
Bionic Fractal Topology for Wireless Power Transfer: A Technical Scheme of Stereo-to-Stereo Coupling and Dimensionality-Reduced DistributionAbstractAiming at the problems of difficult coil alignment, narrow spatial coverage, and low efficiency of ...
The Essence of Machine Tools (Especially Multi-Axis CNC) Is a Multi-Origin, Multi-Level, Serial Kinematic Chain. Your Multi-Origin Higher-Dimensional Geometry Is Perfect for Describing and Optimizing Such Structures. --- 1. The Kinematic Chain o...
Numerical Cases and Analysis of Two Basic Navier-Stokes Formulas Author: Zhang Suhang Version 1: Basic Paradigm (ECS + DOG + MlE) boldsymbol{U}^{n+1} =mathop{argmin}{boldsymbol{U}inmathcal{H}} mathcal{E}big(boldsymbol{U},nablaboldsymbol{U}big) ...
ECS: Toward a Unified Framework for Energy, Classical Mechanics, and Symplectic Geometry
Author: Zhang Suhang ( Luoyang School of Mathematics）
Through a complete set of derivations and newly established mechanical connecti...
Axiom of Maximum Information Efficiency (I): From the Principle of Least Action to MIEAuthor: Suhang ZhangLuoyangAbstractThe principle of least action serves as the unifying foundation of modern physics. However, it is generally accepted as a **pr...
Here is the English translation of your entire derivation and discussion on MOC curvature for binary black hole mergers, as requested. --- English Version My theory is more direct than traditional frameworks. My MOC framework naturally suits th...
The Real Number System Is Contained in the Imaginary Number System Terminological note: In this essay, “imaginary number system” refers to the complete complex numbers a+bi, not the narrower set of pure imaginary numbers. The imaginary number ...
After the Chernobyl nuclear disaster, Belarus lost one‑fifth of its agricultural land. A hundred...
The gloom over the Southern Continent plummeted to its lowest point under the cruel backlash of the deadly rat poison. The ultimate poison bait Everett had created was nothing but drinking poison to quench thirst. The rat swarm was nearly wiped o...
Theorem of the Optimal Dynamic Path of Zero Motion Author: Zhang Suhang (Independent Researcher, Luoyang)System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical ParadigmSeries Number: Paper No. 6 --- Abstract Based on the previously ...
Paradigm Integration of Topology and Fiber Bundle Theory from a High-Dimensional Multi‑Origin Perspective
Abstract Based on the core paradigm of the MOC (Multi‑Origin Coordinates) high‑dimensional framework, this paper focuses solely on cla...