The Unification of Geometry, Function, and Number Theory under the MOC Framework
In traditional mathematics, geometry, function, and number theory stand as separate branches, connected by the function as a mapping between geometric forms and ar...
All Functions Return to Elliptic Functions I. Proposition Within the unifying worldview that "geometry is the mapping of reality, ultimately culminating in number theory," the world of functions also has its ultimate destination: All functions ...
Feminism had flourished for two hundred years. Women had fought for and won countless rights,...
Proof That the Sphere Has the Minimal Surface Area Among Rotational Solids of Equal Volume (Rotational Case of the 3D Isoperimetric Inequality) Author: Zhang Suhang Conventional Approach The conventional proof relies on calculus of va...
Instability and Divergence Principle of Deviated States
Author: Zhang Suhang (Independent Researcher, Luoyang)
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Ninth Paper
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Abstract
This...
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 ...
DOG Discrete Order Geometry and Group Theory: The Origin of Symmetry in Constant-Coefficient Recursion
Author: Zhang Suhang Address: Luoyang, Henan
Group theory is the core language for describing symmetry in modern mathe...
Curvature of Fields and a Meditation on the Hierarchy of Physical Unification Isomorphism of mathematical formulas implies that they share similar or identical underlying physical principles—this is the master key to understanding the unification...
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 ...
Behind the school’s back gate lay a urban village. Migrant workers, kitchen helpers, cleaning...
It was golden week for tourism, and Guangxi was buzzing with activity. The karst mountains rose...
“Analysis of the Isomorphism between Coulomb Force and Universal Gravitation – Based on the MOC Unified Curvature Framework” by Zhang Suhang (Bosley Zhang). --- Analysis of the Isomorphism between Coulomb Force and Universal Gravitation – Based ...
AI Behavior Mathematics Purpose To address the problems of single personality, rigid repetition, and lack of real human nature in current AI and robots, this paper proposes a simple, engineerable, and sustainably evolvable behavioral frame...
After Mars was written off, God staked all his hopes on Earth. But even after he tweaked...
Another unfamiliar city. Xiaoshuai dragged his heavy feet out of the station, and a wave of...
Jerry’s abnormality was finally fully exposed to humans.
It began with routine data transmission. The assistant monitoring Jerry stared at the movement map on the screen, frowning deeper and deeper. Jerry was a highly trained agent rat—every ...
--- Derivation of the Strong Interaction from the MOC Unified Curvature Equation（UCE） Author: Zhang Suhang (Bosley Zhang), Luoyang --- 1. Curvature Degrees of Freedom for the Strong Interaction The total curvature scalar K in MOC is decompose...
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...
Dark Matter and Dark EnergyI. Dark MatterDark matter is a special form of matter that exists widely in the universe but cannot be directly observed. It is a key component of cosmic structure.Its most essential characteristic is that it has no elec...
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...
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) ...
Proof of Global Smooth Solutions to the Navier-Stokes Equations within the DOG/MOC/ECS/MIE Framework
The existence of global smooth solutions to the Navier-Stokes (NS) equati...
--- A Study of Fractal Order and Chaos Emergence Mechanisms Based on Finite-Level Continued Fraction Sequences Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract Fractal geometry and continued fractions belong respectively to the two ma...
DOG Discrete Order Geometry and Hilbert Space: Bidirectional Isomorphism, Limit Correspondence, and Paradigm Bridging Theory
Author: Zhang Suhang, Luoyang
Traditional discrete combinatorial geometry and continuous functional a...
Geometry is the Mapping of the Real World, and It Ultimately Returns to Number Theory I. Proposition Statement This statement is not a theorem, but a worldview. It declares the relationship among the three major branches of mathematics at the ul...
Thanks to Yuri Petrov’s reporting, the Chernobyl Exclusion Zone had drawn scientific attention....
Complete Derivation of the Unified Recursive Field Equation (URFE) Author: Zhang Suhang
1. Core Prerequisite Theories
Foundation: MOC Multi-Origin Geometry, DOG Discrete Order Geometry, GPCL Geometric Recursive Conservation Chain, Unifie...
Yang–Mills Equation Derived Core Formulas for Spectral Counting
Consistent with the DOG/MOC/ECS/MIE framework, this paper starts from the fundamental Yang–Mills equations an...
Discrete Order Geometry (DOG) and Matrix Algebra: Essential Correspondence and Paradigm Reconstruction （ Part Two）
Author: Zhang Suhang Affiliation: Independent Researcher, Luoyang
Based on the axiomatic system of Discrete Or...