Lattice Structure and Matrix Representation in Discrete Order Geometry Author: Zhang Suhang, Luoyang, Henan
Abstract
Discrete Order Geometry (DOG) takes finite discrete lattice points and order nesting as its ontology, withou...
--- Conclusion: Low-Energy Approximation in the DOG System Simultaneously Conforms to the MIE Extremum Criterion and the ECS Symmetric Equilibrium Steady State — A Triple Self-Consistent Closed Loop Author: Zhang Suhang, Luoyang, Henan --- I. ...
From the largest to the smallest — from celestial bodies down to particles — all things are discrete. Order, or law, connects all things. ———SuHang Zhang Within DOG, this connection is precisely encoded as a three‑...
The Combinatorial Axiomatic Basis of Discrete Order Geometry (DOG)
— A Preliminary Exploration of a Combinatorial Generative Framework for Geometric Configurations
Author: Zhang Suhang (Luoyang, Henan)
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Classical geomet...
Discrete Order Geometry (DOG) and Topology: An Open Research Framework for Non-Connected Ordered Spaces
Author: Zhang Suhang Affiliation: Luoyang, Henan
Discrete Order Geometry (DOG) does not take spatial connectivity as ...
Riemannian Manifold Structures in Discrete Order Geometry (DOG) ——Continuity of Lattices and Discreteness Between Lattices
Author: Zhang Suhang
(Luoyang, Henan)
Discrete Order Geometry (DOG) takes discrete lattice poin...
Operator Algebra Structures in Discrete Order Geometry (DOG)
--- Abstract
Discrete Order Geometry (DOG) takes finite discrete lattices, order nesting, and local correlation as its ontology. This pap...
--- DOG Discrete Order Geometry and Its Coupling with Discrete Mathematics Author: Zhang SuhangLuoyang Abstract Modern mathematics has long been divided into two fundamental branches: continuous mathematics and discrete mathematics. There exis...
Discrete Order Geometry (DOG): A Discrete Hierarchical Geometric Framework Based on Fractal Nesting and Continued-Fraction Scales Author: Zhang Suhang(Luoyang, Henan) Abstract Euclidean geometry and Riemannian geometry take continuous connec...
System-Wide Data Verification and Framework Application Summary
Author: Zhang Suhang (Independent Researcher, Luoyang)
Series No.: 16
This paper is the concluding installment of a systematic argument concerning the Rie...
Complete Exclusion of All Counterexample Paths at the Curvature Level Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical ParadigmSeries Number: Fifteenth Paper --- Abstract ...
The Complete Closed Proof of the Riemann Hypothesis (UCE Coordinated Version) Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical ParadigmSeries Number: Fourteenth Paper --- A...
Complete Self‑Consistency of Spatial, Evolutionary, and Constraint Triple Curvatures Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical ParadigmSeries Number: Thirteenth Paper ...
Direct Derivation of the Functional Equation from Curvature Dual Symmetry Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical ParadigmSeries Number: Twelfth Paper --- Abstract...
Proof that the Critical Line is the Principal Axis of Global Curvature Equilibration
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Eleventh ...
Establishment of the Global Unified UCE Curvature Equation
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Tenth Paper
T...
Instability and Divergence Principle of Deviated States
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Ninth Paper
This...
Arithmetic Field Steady‑State Solution Determination Rules Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical ParadigmSeries Number: Eighth Paper --- Abstract This paper is ...
ECS Symmetry Conservation and the Principle of Least Action Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical ParadigmSeries Number: Seventh Paper --- Abstract As the openi...
Theorem of the Optimal Dynamic Path of Zero Motion Author: Zhang Suhang (Independent Researcher, Luoyang)System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical ParadigmSeries Number: Paper No. 6 --- Abstract Based on the previously ...
Construction of the Evolutionary Manifold of the Zeta Function
Author: Zhang Suhang (Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical Paradigm Series Number: Paper No. 5
Abstract ...
The Global Law of MIE Optimal Integral Evolution
Author: Zhang Suhang (Independent Researcher, Luoyang) System Affiliation: MOC‑MIE‑ECS‑UCE Unified Mathematical‑Physical Paradigm Series Number: Paper No. 4 ---
The class...
--- Structural Defects of Single‑Origin Complex Analysis and a Proof of Incompatibility with the Riemann Hypothesis Author: Zhang Suhang (Bosley Zhang / Bi Sulin)Research Affiliation: Luoyang Independent ResearcherSystem Affiliation: MOC‑MIE‑ECS...
MOC Higher-Dimensional Complex Space Reconstruction and the Intrinsic Geometric Definition of the Critical Strip Author: Zhang Suhang (Bosley Zhang / Bi Sulin)Research Affiliation: Luoyang Independent ResearcherSystem Affiliation: MOC‑MIE‑ECS‑UCE...
MOC Axiomatic Construction of Multi-Origin Higher-Dimensional Space
Author: Zhang Suhang (Bosley Zhang / Bi Sulin) Research Affiliation: Luoyang Independent Researcher System Affiliation: MOC‑MIE‑ECS‑UCE Unified Mathematical‑Physical Paradigm...
--- The Four Great Lineages of Calculus: A Unified Classification Framework for Lines, Loops, Surfaces, and Volumes Author: Zhang Suhang (Luoyang) Abstract: Classical calculus presents a vast array of integral forms — ordinary definite integral...
Pure Theoretical Derivation of the Coupling Perturbation Term \delta\vec{K}_{ij} and Three-Body Closure Proof in the MOC System
Author: Zhang Suhang Affiliation: Independent Researcher (Luoyang)
Based on the three ...
MOC Paradigm: Complete Calculation of Earth-Sun-Moon Three-Body Gravitation Author: Zhang Suhang
Constants → Classical Model → MOC Multi-Origin Correction → Full Numerical Precision
I. Fundamental Physical Constants (Astronomi...
Under the MOC paradigm, the complete analytical equations for the gravitational three-body problem of the Earth, Moon, and Sun. Author: Zhang Suhang (followed by the detailed sections I–IV as in your Chinese text) …Is this acceptable? My res...
A Minimal Derivation of the Mass-Energy Equation E = mc^2 – Dual Application of Definite Integral and the Principle of Least Action
Zhang Suhang (Luoyang, Independent Researcher)
Traditional derivations of the mass...