192 Axiom of Maximum Information Efficiency (III): Extremal Criterion for Stability Author: Suhang Zhang Luoyang Abstract Stability is a core property of dynamical systems, determining whether a system can persist under perturbations....
The Sphere Theorem as a Natural Consequence of Unified Geometric Extremal Physics in Three‑Dimensional Topology – More Fundamental and More “Foundational” than the Poincaré Conjecture 1. Standard Formulation of the Sphere Theorem in 3‑Manifolds ...
Axiom 1 (Tangential Convergence)Fluid tangential motion is necessarily smooth, stable, and convergent.Axiom 2 (Normal Boundedness)Although fluid normal disturbances are disorderly, their intensity remains finite and bounded at all times. Correspon...
Laplace Transform = Projection of MOC under "Half-Line Manifold + Complex Wave Number + Single Origin"1. Intuitive Correspondence- Fourier Transform: Euclidean manifold \mathbb{R}, real wave number k → oscillatory kernel e^{-ikx}.- Laplace Transfo...
MOC Multi-Origin High-Dimensional Geometry: Permutation and Combination – Rigorous Definitions, Five Fundamental Axioms, Core Formula System I. Core Rigorous Definitions (Pure Mathematics, No Embellishments) Definition 1: Multi-Origin Reference ...
A Physical Proof of the Isoperimetric Problem —— On the Isomorphism with the Method for the Poincaré Conjecture Abstract This paper presents a complete proof strategy for the isoperimetric problem: by introducing the potential energy E = ...
Convergence of Discrete Algebraic Riccati Equation and Uniform Estimation of Matrix Exponential Approximation Author: Suhang Zhang Luoyang Abstract This paper systematically studies two core problems in sample...
The Atomic Decomposition Hypothesis of Basic Functions and Mathematical Structures: A Unified Perspective from Prime Numbers to Functional Analysis
Author: Zhang Suhang Affiliation: Independent Researcher, Luoyang
Abstract
Starting from ...
Textbooks state: conservation of energy, conservation of momentum, and conservation of angular momentum are equal in status.They arise from Noether’s theorem, corresponding respectively to the symmetries of time translation, space translation, and...
Newton’s Bucket Experiment The Newton’s bucket experiment is a classic thought experiment described by Isaac Newton in 1689. By observing the shape of the rotating water surface, Newton argued for the existence of absolute space. This experim...
Proof of the ABC Conjecture within the DOG/MOC/ECS/MIE Framework
Author: Zhang Suhang Address: Luoyang, Henan
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The ABC conjecture is a central problem in number theory. Shinichi Mochizuki attempted to prove it using his...
--- Extended Discussion and Academic Boundaries of the MOC System Author: Zhang Suhang, Luoyang Abstract: This paper serves as a supplementary note to the first three papers of the MOC system. It accomplishes only two core tasks: first, it poin...
Formal Paradigm of Unified Geometric Extremal Physics 1. Abstract Definition of the Paradigm Definition (Unified Geometric Extremal Paradigm) A geometric extremal problem is said to admit a unified physical–geometric paradigm if there ...
Core Applications of MOC Multi-Origin High-Dimensional Geometry in Giant Satellite Constellation Networking 1. Pain Points and Root Causes Low-Earth orbit (LEO) giant constellations (Starlink, China Starnet, etc.) face three rigid constrai...
Multi-Origin High-Dimensional Geometry and the Chip Revolution: From the Two-Dimensional Dead End to One-Stroke High-Dimensional ConnectivityAll core bottlenecks of modern chips—routing congestion, signal interference, heat concentration, timing d...
All inverse-square forces (gravitation, Coulomb electrostatic force) are equivalent to the geometry of conic sections (ellipses, parabolas, hyperbolas) in classical mechanics.
- Attraction ⇒ ellipse (or circle) - Repulsion ⇒ hyperbola - Bound...
Charge also curves spacetime According to general relativity, gravity arises from the curvature of spacetime, and spacetime curvature is caused by mass. Similarly, I argue that electric charge curves the spacetime around it, and this curved ...
Introduction Women’s health is a vital aspect of overall well-being, and having access to reliable and professional medical care is essential. From adolescence to motherhood and beyond, every stage of a woman’s life requires special...
God makes all things with the greatest economy and efficiency. That is the essence of MlE. MlE provides mathematical support for Darwin's theory of evolution. Redundant structures that serve no purpose and consume resources t...
URFE Calculates the Four Fundamental Forces
Author: Zhang Suhang
Based on the Unified Recursive Field Equation (URFE), this paper selects typical calculable scenarios, applies boundary conditions, performs quantitative simplif...
--- Complete Proof of the Gilbert-Pollak Conjecture Based on the MOC-DOG-MIE-ECS Native Framework Author: Zhang Suhang, Luoyang, Henan --- Abstract The Gilbert-Pollak conjecture is a core classical problem in planar extremal geometry. Traditi...
--- Part One Title: The Geometric Foundation and Model Transformation of the Kakeya Conjecture via DOG-MOC
Author: Zhang Suhang (Bosley Zhang) Location: Luoyang, Henan, China Date: May 2026
Under the framework of Multi-Origin...
Construction and Physical Implications of Symmetric Multi-Origin Curvature (SMOC) Geometry **Author:** Zhang Suhang *Independent Researcher* **Abstract:** Based on the Multi-Origin Curvature (MOC) spacetime framework, this paper constructs the...
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...
Author: Zhang Suhang, Luoyang Third Paper (corresponding to 3.3): A Dynamic Model of Inevitable Convergence Axiomatic Reconstruction of the Collatz Conjecture (III): Comprehensive Proof of Convergence Necessity --- Abstract Based on the pre...
Geometric Origin of Weak Interactions: From Curvature Frequency Transitions to a Unified Framework Author: Zhang Suhang, Luoyang Abstract Based on the previously established MOC-MIE axiomatic system and the equivalence relation between...
Unified Geometric Extremal Physics Framework Solution to the Willmore Problem
— Physical Restatement, Paradigm Reduction, and Isomorphism with the Isoperimetric Problem, Plateau’s Problem, and the Poincaré Conjecture
Abstract Within the fra...
On Innovation Capacity and the Ineliminability of Process Some people imagine: using gene editing to create a child, then inputting Einstein’s consciousness into that child, and the child will become Einstein. This fantasy overlooks a most funda...
The Significance of Probability Theory in Multi-Origin High-Dimensional GeometryIn classical probability theory and single-origin Euclidean geometry, probability is merely a measure of the frequency of events. The sample space is attached to a sin...
I have long held an intuition: Kepler’s Laws and the Principle of the Lever are subtly connected.Proposed by Archimedes, the Principle of the Lever centers on the equation:Force × Effort Arm = Resistance × Resistance Arm.At its core, it describes ...