A Minimalist Explanation of Celestial Rotation, Revolution, and Axial Obliquity under the Pure MOC Framework Author: Zhang Suhang (Luoyang, Henan)Affiliation: Independent Researcher Abstract: Relying solely on the core paradigm of Multi-Origin C...
Proof of the Twin Prime Conjecture within the DOG/MOC/ECS/MIE Framework
Author: Zhang Suhang Address: Luoyang, Henan
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Abstract
The twin prime conjecture is a century‑old core problem in analytic number theory. Its weak version, p...
Title: The Geometric Positioning of the Probability Formula P = 1/(1+(\Delta\nu)^2) in DOG Spacetime Author: Zhang Suhang Address: Luoyang, Henan --- Abstract Within the framework of Discrete Order Geometry (DOG), the observed probability ...
The Underlying Disruptive Impact of the DOG Paradigm on Universal Modular Systems
Author: Zhang Suhang, Luoyang
Abstract: Discrete Order Geometry (DOG) completely rewrites the underlying logic of modularity, transitioning from the old...
Discrete Order Geometry (DOG) and Topology: A Preliminary Exploration of the Structured Description of Non‑Connected Spaces
Author: Zhang Suhang Luoyang
The establishment of Discrete Order Geometry (DOG) removes spatial c...
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 ...
Instability and Divergence Principle of Deviated States
Author: Zhang Suhang (Independent Researcher, Luoyang)
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Ninth Paper
This...
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Yang–Mills Equation Derived Core Formulas for Spectral Counting
Consistent with the DOG/MOC/ECS/MIE framework, this paper starts from the fundamental Yang–Mills equations an...
Differential Equations as the Continuum Limit of DOG Discrete Order
Differential equations are the mainstream mathematical tool for describing the evolution of continuous syste...
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 ...
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Paper 2: Geometric Realizations of One-Dimensional Probability Distributions: Bell Curve, Staircase, Lattice, and Fractal
Author: Zhang Suhang
Affiliation: Luoyang, Henan
Continuing the probabilistic-geometric isomorphism fr...
--- Structural Shortcomings of Traditional Mathematical and Geometric Systems and the Systematic Complementation by the DOG Paradigm Author: Zhang SuhangLuoyang Abstract Modern mathematics, geometry, and celestial mechanics have, over centurie...
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...
--- 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. ...
Discrete Order Geometry (DOG): A Geometric Paradigm Based on Fractal Nesting and Continued Fraction Scaling
Traditional geometric systems (Euclidean geometry, Riemannian geometry) and classical fract...
Paper 13: The Trinity of Frequency, Probability, and Geometric Measure — From Discrete Order Geometry to Étale Schemes
Author: Zhang Suhang Affiliation: Luoyang, Henan
This paper achieves a seamless connection between ...
Paper 10: The Weil Conjectures under UPGS — Étale Random Walks, Curvature Duality, and ECS Stability
Author: Zhang Suhang Affiliation: Luoyang, Henan Date: May 25, 2026
Within the UPGS (Étale Probability Schemes) fram...
Paper 5: Stochastic Processes and Geometric Flows: From Random Walks to Brownian Motion and Quantum Probability Author: Zhang Suhang Affiliation: Luoyang, Henan Abstract This paper extends the probability-geometry isomorphism frame...
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...
Scientific Implications of Frequency Difference Determining Probability: God Does Not Play Dice This conclusion settles the long-standing debate between Bohr and Einstein. If we follow Bohr’s standpoint, the universe would descend into chaos. ...
--- Discrete Order Geometry (DOG): A Study of Its Universal Application System Author: Zhang SuhangLuoyang Abstract After establishing the definition of Discrete Order Geometry and demonstrating its coupling with the discrete mathematics syste...
--- Chapter Three: Application – Practical Pathways for Guiding Biological Experiments with Mathematical Models
Application and Guidance Scheme of the Topological Modeling System in Biological Morphology Experiments
Author: Zhang Suhang, Lu...
Preliminary Exploration of the Fusion Configuration as a Concrete Prototype of Fiber Bundles Author: Zhang Suhang, Luoyang, Henan
--- Abstract Based on previous research results on spherical cap‑derived self‑similar geometry (SCD‑SG), thi...
Discrete Order Geometry (DOG) and Classical Fractal Geometry: Paradigm Comparison and Pain Point Resolution
Abstract: Classical fractal geometry, with its core assumptions of infinite self‑similarity and ...
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...
Geometric Progressive Conservation Law and the Complementary Architecture of Noether Theorem — Dual Paradigm Unification of Geometric Origin and Symmetric Origin
In class...
Topological Isomorphism Between Tree Tops and Roots: A Natural Evidence for Infological Topology Author: Zhang Suhang Abstract Taking the reversible transformation between tree tops and tree roots as the research object, this paper conduc...
--- Part III: Subordination Relations, Nesting Rules, and Cross-Layer Mapping Systems for Hierarchical Sets Author: Zhang Suhang, Luoyang, Henan Abstract Building upon the establishment of the hierarchically nested set paradigm and the three-l...
