Derivation of the Central Limit Theorem Under the Principle of Maximum Information Efficiency——Proof of a Special Subclass Within the MOC FrameworkAuthor: Zhang Suhang, LuoyangCore Theoretical System:MOC (Multi-Origin High-Dimensional Geometry),MI...
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...
--- 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...
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...
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...
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 ...
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...
--- 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...
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 framewo...
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...
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 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: 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...
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...
Discrete Numerical Verification and Symmetry Group Case Study of Extremum-Conservation-Symmetry Systems
Author: Zhang Suhang Affiliation: Luoyang, Independent Researcher
Abstract
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...
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...
"Heuristic Association Between Euler’s Polyhedron Formula and the Golden Ratio Under the Maximum Information Efficiency Axiom" Author: Zhang Suhang, Luoyang Core Axiom: Maximum Information Efficiency (MIE) Axiom --- Abstract Based on the Ma...
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...
Elena stood behind the observation window, her fingertips pressed against the cold glass,...
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...
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...
Proof of Global Smooth Solutions to the Navier-Stokes Equations within the DOG/MOC/ECS/MIE Framework
Author: Zhang Suhang Address: Luoyang, Henan
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The existence of global smooth solutions to the Navier-Stokes (NS) equati...
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...
--- 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...
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...
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 ...
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...
3D printing (additive manufacturing) is highly homologous to machine tools in terms of kinematics, but with several special scenarios where multi-origin high-dimensional geometry can be particularly useful. --- 1. The kinematic chain of 3D pri...