A Brief Analysis of the Unified Essence of Traditional Wavefunction Quantum Formalism and MOC Endogenous Frequency Author: Zhang Suhang (Bosley Zhang) Luoyang AbstractThis paper compares the ways frequency is intro...
The Primal Source of the Three Noether SymmetriesUnder the MOC (Multi-Origin Curvature) Framework...
Explore CPR Certification Courses designed for all skill levels. Learn lifesaving skills, earn certification, and stay prepared for any emergency.
Proof of the BSD Conjecture within the DOG/MOC/ECS/MIE Framework
Author: Zhang Suhang Address: Luoyang, Henan
---
Abstract
The BSD (Birch and Swinnerton-Dyer) conjecture is a Millennium Problem in number theory concerning the equal...
The Riemann Hypothesis and the Goldbach Conjecture: Continuous Global Symmetry and Discrete Local Completeness on the Same Multi-Origin Recursive Tree
Under the framework of Multi-Origin High-Dimensional Geometry, the Riemann Hypothesis and the...
Su Yuan stood at the center of the lab, his finger hovering an inch above Xiao Qian’s cheek,...
--- Integrating All Physical Elements and Factors into the Geometric Recursive Conservation Chain（UGSL）: A Unified Logical Framework
Author: Zhang Suhang
I. General Outline: The Universal Conservation Rule for All Physical Elements
Core ...
Continuous Extension of the Multi-Origin Curvature Symmetry Group in ECS Theory
Author: Suhang Zhang Affiliation: Luoyang, Independent Private Researcher
This paper establishes the rigorous continuous extension of the dis...
Gravitational force is only attractive; it has no repulsive component. Coulomb force, however, is both attractive and repulsive. When two charges are opposite, an attractive force arises. For example, a positive charge and a negative char...
URFE Calculates the Four Fundamental Forces
Based on the Unified Recursive Field Equation (URFE), this paper selects typical calculable scenarios, applies boundary conditions, performs quantitative simplif...
Theory of Biomimetic Fractal Topological Coupling and Dimensional Gradient Transition Transmission I. Core Theoretical Essence This theory takes the natural fractal structures of tree roots and leaf veins as its fundamental logical origin. It br...
--- Part IV: Discrete Origin and Continuous Limit: The Unified Resolution of Binary Forms in the New Set Theory Author: Zhang Suhang, Luoyang, Henan Abstract The binary fragmentation between discrete and continuous is one of the longest-standi...
Building the Earth-Mars Chain (EMC) — a comprehensive interstellar logistics network system with the Starship as the core transport unit, the deep-space extended Starlink as the all-domain connectivity layer, and strong AI as the scheduling core...
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
This...
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, ...
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,...
Elliptic Function Interpretation of the Four Fundamental Forces1. General PrincipleMathematically: Trigonometric functions are only a degenerate special case of elliptic functions; elliptic functions are the general mother structure.Physically: Th...
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...
The Sun and the Earth would never claim this child as their own. Not for lack of love, but out of...
Paper 12: Étale Differential Equations on UPGS — Continuum Limit of Random Walks and Heat Kernel, with Derivation of the Schrödinger Equation Author: Zhang SuhangAffiliation: Luoyang, HenanDate: May 25, 2026 --- Abstract In Papers 7 and 8, ...
The chaos of romantic entanglements had left Wei Ling weary. Love and marriage should have been a...
Unification of Curvature and Angular Momentum – A Reconstruction of the Geometric Origin of Physical Motion in the Multi‑Origin Geometry (MOC) Framework
I. Core Thesis: The Two Are One – Differing Only by Scale Normalization, with No Essential ...
The Higgs field is a quantum field that permeates the entire universe. It is a key mechanism in the Standard Model of physics for converting energy into mass, and is regarded as the fundamental process by which elementary particles acquire mass.In...
Deep in the void, nebulae drift like silk ribbons torn apart by time, flowing slowly through...
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...
The Sea of Paradigms: From Grothendieck to the Dissolution of Problems in a New Geometric Framework
Author: Zhang Suhang Address: Luoyang, Henan, China
--- Abstract
Grothendieck once likened his mathematical method to a "rising tide": n...
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...
After its birth, the Moon pulled gently at Earth with its gravity, like a newborn creature...
After graduation, Su Yuan entered the Municipal AI Research Institute with outstanding talent,...
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 ...