The Essential Meaning of Sets in the Multi-Origin High-Dimensional SystemIn traditional Euclidean geometry and classical set theory, a set is merely a container for points and elements, attached to a single global origin. All coordinates, metrics,...
Axiom of Maximum Information Efficiency (I): From the Principle of Least Action to MIEAuthor: Suhang ZhangLuoyangAbstractThe principle of least action serves as the unifying foundation of modern physics. However, it is generally accepted as a **pr...
Theoretical Division and Complementary Relationship between MOC and MIEAuthor: Suhang Zhang, LuoyangWithin the present theoretical framework, Multi-Origin Curvature (MOC) and Maximum Information Efficiency (MIE) constitute two axiomatic systems wi...
Unification of Honeycomb and Leaf Vein under the Axiom of Maximum Information EfficiencyAuthor: Suhang Zhang AbstractThe honeycomb uses the least beeswax to enclose the maximum volume. Leaf veins use a limited network of vessels to cover the maxim...
Prospects for the Application of MOC in Magnetic Resonance Imaging (MRI)Magnetic resonance imaging is essentially a high-dimensional system that acquires and reconstructs massive proton spin signals in an inhomogeneous magnetic field. Its core cha...
Matrix and Multi-Origin High-Dimensional Geometry —— MOC System Axiom V: The Matrix is the Low-Dimensional Projection, the High-Dimensional Noumenon Traditional linear algebra has committed a categorical error that has persisted for three centur...
The Optimal Solution for Interstellar Colonization: Nuclear Power + Interstellar Corridor + Human Cryopreservation + Fertilized Eggs + Artificial Womb Author: Zhang Suhang Under the realistic constraints of an unbreakable speed of light and th...
Unification Under the Maximum Information Efficiency Axiom: Homology Between Murray’s Law and Polyhedron LawAuthor: Suhang Zhang, LuoyangAbstractMurray’s law describes the cubic scaling relation of vessel diameters in biological branching networks...
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The Orientation and Purpose of Mathematical Logic under the Triadic Paradigm: A Jurisprudential Reconstruction Based on the MOC-MIE-ECS Framework
Abstract
Grounded in the three core paradigms of MOC (multi-origin higher-dimensional ge...
Two Conjectures, One Axiom
Collatz and Goldbach—one dynamic, one static; one iterates downward, one splits upward. On the surface, they seem unrelated, yet under the framework of the ECS Axiom, they share the same underlying logic:
Symmetry ...
Numbers are dancing points.Functions are floating lines.Geometry is manifolds and fluids.
Interstellar Corridor (Part I): A Foundational Theory of Low-Energy Interstellar Travel Based on Natural Spacetime Curvature Gradients Author: Zhang Suhang, Luoyang Abstract Current interstellar travel theories face core dilemmas: extremely l...
--- Curvature-Dependent Local Logical Rules — A Concept Demonstration within the MOC Framework Abstract Within the MOC (multi-origin coordinates) framework, this paper constructs a minimal schematic model. By introducing an origin curvature par...
--- Geometric Reconstruction of the Nature of Spacetime under the MOC Framework: Curvature Configuration Theory Author: Zhang Suhang, Luoyang Abstract Classical physics regards spacetime as a background stage independent of matter, while relat...
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...
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...
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...
--- Clarification on the Relationship Between MIE and the Maximum Entropy Principle To avoid theoretical misunderstandings and academic ambiguity, this section specifically clarifies the intrinsic relationship between the Maximum Information Eff...
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...
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...
Information Ecological Topology and the MIE Principle: A Reconstruction and Unification of the Foundations of Classical Statistics
Author: Zhang Suhang, Luoyang
Independent Researcher in Mathematics and Theoretical Physics
Core The...
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...
Multi-Origin Geometry (MOS) and the Dual Convergence Theorem: A Unified Framework for Curvature-Driven Fluid Interfaces Author: Zhang Suhang, LuoyangAffiliation: Independent Researcher --- Abstract This paper proposes a unified analytical fram...
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...
Convergence of the Solution to the Discrete Riccati Equation with Respect to Sampling Period Author: Suhang Zhang Luoyang Abstract
This paper rigorously proves that as the sampling period h\to 0^+, the solution of the disc...
--- 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...
Numerical Validation of the Extremum-Conservation-Symmetry System and a Case Study on Symmetry Group Extension
Author: Suhang Zhang Affiliation: Luoyang, Independent Researcher
This paper systematically conducts numerical...
--- Derivation of the Weak Interaction from the MOC Unified Curvature Equation（UCE） Author: Zhang Suhang (Bosley Zhang), Luoyang --- 1. Basic Form of the MOC Unified Curvature Equation (UCE) The starting point of MOC is an action extremal pri...
--- The Deep Relationship Between Gödel’s Incompleteness Theorems and the MOC Multi-Origin Curvature Logic Model I. Defining the Core Essence of Each 1. Gödel’s Incompleteness Theorems In any consistent axiom system that contains basic arithme...
Variational Derivation of Gaussian Distribution Under the Maximum Information Efficiency Principle——Proof of a Special Subclass Within the MOC (Multi-Origin High-Dimensional Geometry) FrameworkAuthor: Zhang Suhang, LuoyangCore Theoretical System:M...