Group-Theoretic Unification of the Three Symmetries and the Euclidean GroupWithin the framework of Euclidean geometry and classical group theory, the three fundamental symmetries—translation, rotation, and reflection (folding)—are not independent ...
At some moment in cosmic time, a breathtaking sight unfolded. Earth tore itself open...
Summer Vacation Ended Quietly The summer vacation had slipped away without a sound. ...
After graduation, Su Yuan entered the Municipal AI Research Institute with outstanding talent,...
Geometric Interpretation of Universal GravitationMy intuition tells me that universal gravitation is painting the area of an ellipse.1. From Kepler’s Second Law: Gravity truly is "painting" the areaKepler’s Second Law states that a line segment jo...
Multi-Origin High-Dimensional Geometry and Fiber Bundle Theory
Fusion Application
Multi-Origin High-Dimensional Geometry can be integrated and applied with Fiber Bundle Theory.
- Base Space: the lower-layer structure (Galaxy) - Fiber: th...
From December 5 to 9, 1952, London was engulfed in thick, suffocating smog. Transportation...
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...
Humankind first noticed the Moon when they still lived in caves. They had no writing, no...
One day, God called for his servant. He had never intended to do so. In four and a half...
It was another five hundred million years before God truly remembered Mars. “Remembered”...
Graduation was approaching, and the air carried an indescribable feeling. Some were busy...
Pure MOC Multi-Origin Framework: A Complete Explanation of Mercury’s Perihelion Precession I. First, pinpoint the common flaw in Newtonian mechanics and general relativity 1. Newtonian systemAssumes the solar system has only the Sun as a single ...
1. The Second Law of Thermodynamics Heat can only spontaneously flow from a hotter object to a colder one, and cannot spontaneously flow from a colder object to a hotter one. 2. The Principle of Air Conditioning In winter, an air condi...
The 34th Year of the Jiajing Reign, December. By the time Yan Shifan’s sedan chair stopped in...
The rain came again, fine threads drifting through the night, thick with the damp smell of wet...
Three months after the bill passed, Su Yuan and Xiao Qian were married. The wedding was held in a...
Derivation of Maxwell Equations and Coulomb’s Law from Modified MOC Unified Curvature Extremum PrincipleAuthor: Zhang Suhang (Luoyang)Independent ResearcherAbstractBased on the revised MOC unified curvature extremum principle, this paper strictly ...
The plane touched down in the small border town as the sunset dyed the sky red. Ning Xiaoshuai...
Time sped by as if pressed on fast forward, slipping through fingers silently, leaving no trace....
Change came on an ordinary late night. Su Yuan had been drinking again until very late, drunk...
Derivation of the Law of Large Numbers Under the Principle of Maximum Information Efficiency ——Proof of a Special Subclass Within the MOC Framework Author: Zhang Suhang, Luoyang Core Theoretical System: MOC (Multi-Origin High-Dimension...
Homologous Generation Theory of Mathematical Objects (GKT)
——A Meta-Theory on the Generative Structure of Mathematics
Author: Zhang Suhang Date: May 2026
Abstract
This paper announces the birth of a new mathematical cognitive paradigm...
Reinterpretation of Set Theory within the MOC (Multi-Origin Coordinates) High-Dimensional Framework
I. Core Stance
Classical set theory is single-origin, single-universe, and static in its hierarchy. Under MOC, set theory becomes multi-orig...
The Unified Curvature Equation (UCE) Rigorously Derives the Yang–Mills Equation within the Framework of Geometric Extremum and Fiber BundleAuthor: Zhang Suhang, LuoyangThe unified curvature equation (UCE) can rigorously derive the Yang–Mills equat...
A Proof of the Collatz Conjecture within the ECS Framework: Based on Extremum-Conservation-Symmetry Axioms Author: Zhang Suhang (Luoyang) Abstract: The Collatz conjecture is a classic unsolved problem in the field of discrete dynamical systems, ...
“Hello? Who’s this?” It was late at night. Su Yuan was about to leave the lab, still in...
From Newton to Riemann, from fluxions to manifolds. Everything flows, nothing stands still. Is mathematics really so dull and boring? I don't think so!
Title: The Essential Solution to the Three-Body Problem – Higher-Dimensional Curvature Vector Conservation and Coupled Steady State Author: Zhang Suhang, Luoyang Abstract: Based on the MOC (Multi-Origin Curvature) axiomatic system, this paper pr...
--- Title: From MOC Geometric Constraints to the Three Major Statistical Distributions: A Combinatorial Topological Derivation Author: Zhang Suhang (Bosley Zhang)Correspondence: zhang34269@zohomail.cnCore Theories: MOC (Multi-Origin Curvature), ...