Paper 4: Geometric Reconstruction of Probability Axiom System: Kolmogorov Axioms Equivalent to Geometric Measure Axioms
Author: Zhang Suhang Affiliation: Luoyang, Henan
Abstract
This paper accomplishes a landmark unification between pr...
Part One: Analogical Foundation in Number Theory —— The Fractal Generation Logic of Composite Numbers
Author: Zhang Suhang, Luoyang, Henan
Abstract Starting from the constructive processes of number theory and fractal geometry, this paper ...
DOG Discrete Order Geometry and Lattice Theory: Algebraic Representation of Order Structures Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract Lattice theory studies algebraic structures in which any two elements in a partially ordered ...
Submitted your manuscript and wondering what comes next? Here is exactly what happens after you submit to a publisher, from the first read to the final deal.
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The Combinatorial Axiom Foundation of Discrete Order Geometry (DOG) – Construction of a High-Order Arrangement and Combination System for Geometric Configurations
Author: Zhang Suhang (Luoyang, Henan)
Classical geometry an...
Discrete Order Geometry (DOG) and Matrix Algebra: Essential Correspondence and Paradigm Reconstruction （ Part Two）
Author: Zhang Suhang Affiliation: Independent Researcher, Luoyang
Based on the axiomatic system of Discrete Or...
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...
Establishment of the Global Unified UCE Curvature Equation
Author: Zhang Suhang (Independent Researcher, Luoyang)
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Tenth Paper
T...
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...
Paper 12: Étale Differential Equations on UPGS — Continuum Limit of Random Walks and Heat Kernel, with Derivation of the Schrödinger Equation Author: Zhang SuhangAffiliation: Luoyang, HenanDate: May 25, 2026 --- Abstract In Papers 7 and 8, ...
Part Two: Axioms and Mathematical Formulas —— Formal Foundations of the Composite Number Construction System
Abstract Based on the analogical framework of “primes–composites” and “fractal pri...
The Dual Constant Dynamic-Static Unification Principle in the DOG System
Author: Zhang Suhang Address: Luoyang, Henan
Within the complete framework of DOG discrete order geometry, the universe's two most fundamenta...
Conclusion: Low-Energy Approximation in the DOG System Strictly Conforms to the MIE Core Paradigm
I. Core Correspondence
1. Essence of MIE
MIE is the universal steady-state extremal ev...
Discrete Order Geometry (DOG): A New View of Spacetime — Space as Matrix and Time as Fiber Bundle
Author: Zhang Suhang (Luoyang, Independent Researcher)
Abstract: Discrete Order Geometry (DOG) fundamentally reconstructs the picture of...
From the largest to the smallest — from celestial bodies down to particles — all things are discrete. Order, or law, connects all things. ———SuHang Zhang
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...
Paper 6: The Unification of Probability and Geometry: History, Framework, and New Paradigm
Author: Zhang Suhang
Affiliation: Luoyang, Henan
This paper is a review and applications paper in the series on the probabili...
Paper 3: Geometric Embedding of Multidimensional Random Variables: Geometric Operations of Joint Distributions, Marginals, and Conditionals
This paper extends the proba...
Title: Under the DOG Discrete Order Geometry Framework, the Yang–Mills Equation Is No Longer a Foundational Challenge but a Natural Emergent Result of Spacetime Steady States
Address: Luoyang, Henan, China
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 ...
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 ...
A few weekends ago I helped a friend sort through an old fabrication workshop in Melbourne before he shifted some machinery into a newer space. The idea sounded almost simple at first—clear a few corners , pull out old materials, and create enough...
--- 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...
Part Three: Fractal-Coefficient Coupled Evolution —— Synchronous Mapping from Numerical Parameters to Graphical Forms
Abstract Based on the analogical framework and axiomatic system establish...
DOG-FCE and MOC-UCE: Two Equivalent Physical Representations of the Same Unified Field Essence
Author: Zhang Suhang, Luoyang (Independent Researcher)
Within the axiomatic DOG-MOC grand unified system, there exist two co...
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 ...
ECS-Hodge Correspondence Categorical Equivalence Between Symmetric Conservation Modes and Hodge Classes Author: Suhang Zhang Address: Luoyang, Henan Abstract Hodge classes serve as core objects in algebraic geometry, defined as ra...
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...
--- A Complete Solution System for the Three‑Body Problem within the Framework of Discrete Order Geometry (DOG) Author: Zhang SuhangLuoyang Abstract: Under the classical Newtonian continuous geometry system, the three‑body problem has been defi...
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...
