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...
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...
URFE Solves the Three-Body Problem Author: Zhang Suhang 1. First: What Makes the Classical "Three-Body Problem" Difficult Standard Conclusion (holds from 1880 to 2026): · No general elementary analytic solution: The positions cannot be express...
DOG Discrete Order Geometry and Hilbert Space: Bidirectional Isomorphism, Limit Correspondence, and Paradigm Bridging Theory
Author: Zhang Suhang, Luoyang
Abstract
Traditional discrete combinatorial geometry and continuous functional a...
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...
Discrete Numerical Verification and Symmetry Group Case Study of Extremum-Conservation-Symmetry Systems
Author: Zhang Suhang Affiliation: Luoyang, Independent Researcher
This paper conducts dedicated numerical verification and c...
Axioms and Definitions of the MOC Core — Paradigm Substitution of Classical Mechanical Quantities by Multi-Origin Vector Curvature Author: Zhang Suhang, LuoyangAbstractThis paper formally establishes the axiomatic foundation of the MOC (Multi-Or...
--- Multi-Origin Curvature (MOC) and Maximum Information Efficiency (MIE) Framework for the Unified Theory of the Three Major Statistical Distributions in Classical and Quantum Physics —Including a Complete Proof and Geometric Realization of the...
Liu E’zi always went to the town market only on the fifth and tenth days of each lunar month. On...
Using “recursive assembly of continued‑fraction fractals” to generate and understand the distribution of prime numbers. · Regular integer blocks, recursively assembled· Reciprocal iteration corresponds to scale transformation· The entire structur...
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...
When the Earth warrior Felix jumps down from space, his body spins involuntarily because the spacetime near Earth is twisted by Earth’s rotation, and the human body rotates along with the distorted spacetime. Therefore, the rotation of celestial ...
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...
Algebraic Isomorphism Between Zhang Group and Continuous Lie Groups Under the Triple Limit Author: Suhang Zhang (Luoyang, Henan, China) Abstract Within the frameworks of Discrete Order Geometry (DOG) and Multi-Origin Recursive Geometry...
Paper 11: Computation on UPGS — Algorithms, Complexity, and Numerical Implementation
Author: Zhang Suhang Affiliation: Luoyang, Henan Date: May 25, 2026
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UPGS (Étale Probability Schemes), as a unified theoretical frame...
Proof of Global Smooth Solutions to the Navier-Stokes Equations within the DOG/MOC/ECS/MIE Framework
Author: Zhang Suhang Address: Luoyang, Henan
The existence of global smooth solutions to the Navier-Stokes (NS) equati...
--- On the Essential Identity of Binary and the Law of Excluded Middle and Its Core Significance Abstract This paper aims to clarify the intrinsic relationship between binary (the binary numeral system) and the law of excluded middle (LEM). Bre...
--- Interstellar Corridor (Part II): A Conceptual Framework for Low-Energy Interstellar Travel Driven by Natural Spacetime Curvature Gradients Author: Zhang Suhang Abstract Traditional concepts for interstellar travel primarily fall into two c...
TitleBrachistochrone Problem: A Historical Prelude to the Maximum Information Efficiency PrincipleAuthor: Suhang Zhang, LuoyangAbstractThe brachistochrone problem (1696) is widely recognized as the origin of the calculus of variations, whose solut...
MOC Differential Geometry · Trinity of Applied Mathematics Analysis · Optimization · Learning — Three Scales of the Same Thing --- I. Traditional Perspective: Three Disciplines Separate, Each Fighting Alone In the traditional system of applied...
Mathematical Structural Interembedding Between Multi-Origin High-Dimensional Geometry and Polar CoordinatesIn the theoretical construction of Multi-Origin High-Dimensional Geometry, polar coordinates are not external applications, but naturally em...
A Brief History of Cosmic Expansion The expansion history of the universe can be roughly divided into four key stages: 1. Inflationary Epoch (10⁻³⁶ s → 10⁻³² s)In far less than an instant, the universe expanded by at least 10²⁶ times at a speed ...
Just as all fell into despair and nearly abandoned hope, a piece of transoceanic news caught everyone’s attention.
The story reported that countless landmines remained in post-war regions overseas. Manual removal was extremely dangerous and ine...
DOG Discrete Order Geometry: An Endogenous Unification of Hilbert Space and Probability System Author: Zhang Suhang Affiliation: Luoyang (Independent Researcher) Abstract Traditional modern mathematical physics suffers from three fundamenta...
Geometry as Protocol: Multi-Origin High-Dimensional Geometry and Computer Networking Computer networking, for all its apparent glory, has shown clear signs of fatigue. TCP/IP has reigned for half a century. Routing protocols endlessly patch them...
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...
The Riemannian Geometry Corresponding to Coulomb Force When two opposite charges produce attraction, the spacetime curvature is positive, corresponding to a spherical spacetime in Riemannian geometry. When two like charges produce repulsion, th...
--- MOC Coordinate System: Geometric Definition of Multi-Origin Hierarchical Nesting and Classical Coordinate Degeneration
Author: Zhang Suhang --- Abstract
Based on the Multi-Origin Curvature (MOC) geometric framework, this paper present...
Paper 3：Geometric Embedding of Multivariate Random Variables: A Unified Triple Operation of Joint Distribution, Marginalization, and Conditioning Author: Zhang Suhang Affiliation: Luoyang, Henan, China Abstract Building upon the algebraic-prob...