--- A Study of Fractal Order and Chaos Emergence Mechanisms Based on Finite-Level Continued Fraction Sequences Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract Fractal geometry and continued fractions belong respectively to the two ma...
DOG Discrete Order Geometry: A Minimal Mathematical Paradigm for Unifying the Four Fundamental Interactions
Author: Zhang Suhang, Luoyang
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I. Fundamental Unified Substrate
Let the set of all discrete spacetime lattice points in t...
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)
Abstract
Classical geometry an...
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 ...
Theoretical Calculation of Mercury’s Perihelion Precession under the Multi-Origin Curvature (MOC) Framework Author: Zhang Suhang (Luoyang, Henan)Affiliation: Independent Researcher Abstract: Based on the Multi-Origin Curvature (MOC) theory, this...
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...
I believe magnetic monopoles do not exist. The reasoning is as follows:
Maxwell's equations in vacuum indeed possess an electric–magnetic dual symmetry (E → B, B → –E). However, once electric charges are introduced as sources, this symmetry is ...
If you’re taking Shilajit and wondering about the right timing to eat meat, you’re not alone. Many people ask: “Can I eat meat right after taking Shilajit?” or “How long should I wait after Shilajit before consuming non-vegetarian food?” Here’s a...
Paper 3-1: Basic Algebraic Operations of the Π Operator: Scalar Multiplication, Addition and Inverse Elements Author: Zhang Suhang Abstract As a core tool for dimensional transformation, the algebraic structure of the Π operator lays a...
Application Chapter —— Grounded Mapping of the Three‑Layer Number‑Theoretic Structure in Computing and Engineering
Abstract Based on the three‑layer structure of “prime primitive – regular co...
Proof of Existence and Uniqueness of Smooth Solutions to Navier-Stokes Equations within DOG/MOC/ECS/MIE Framework (Supplemented Revised Version) Author: Zhang Suhang Luoyang, Henan Abstract The global existence of smooth solutions...
Paradigm Integration of Topology and Fiber Bundle Theory from a High-Dimensional Multi‑Origin Perspective
Abstract Based on the core paradigm of the MOC (Multi‑Origin Coordinates) high‑dimensional framework, this paper focuses solely on cla...
A Gentle Discussion on the Higgs Field and the Origin of Mass In popular science, the way the Higgs boson gives elementary particles their mass is often compared to a celebrity moving slowly through a crowd of fans. This analogy is vivid and e...
Reflections on Machism With a Discussion on Time as the Flow of Energy Preface When I was young, I had an intuition: time is the flow of energy. Later, through reading, I learned this was not considered “professional”. Physicists would say...
Paper I：Rigorous Chain Mapping of Action–Potential Difference–Stability: The Local Reduction Essence of Symplectic Structure and Global Unification under ECS Author: Zhang Suhang (Heluo School of Mathematics) AbstractIn the classical mechanics s...
Paper E1-4: Euler's Identity as the Minimal Closure Instance of the Π Operator System Author: Suhang Zhang (Heluo Mathematical School) Abstract Renowned as the most elegant formula in mathematics, Euler's identity e^{i\pi}+1=0 unifi...
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...
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 ...
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...
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...
Paper 5-3: Prospect of System Expansion: Interdisciplinary Developments toward Non-Euclidean Manifolds, Quantum Field Theory and Advanced Number Theory Author: Suhang Zhang (Heluo School of Mathematics) Abstract The Π operator frame...
Papers 3-4: Number-Theoretic Mapping of Modular Forms, Elliptic Functions and the Π Operator Author: Suhang Zhang (Heluo Mathematical School) Abstract Modular forms and elliptic functions are core objects in number theory and comple...
Paper 8: Étale Random Walks and Arithmetic‑Quantum Unification under the UPGS Framework — Geometric Origins of Prime Distribution, Zeta Functions, and Born’s Rule Author: Zhang SuhangAffiliation: Luoyang, HenanDate: May 25, 2026 --- Abstrac...
Paper 3：Geometric Embedding of Multivariate Random Variables: A Unified Triple Operation of Joint Distribution, Marginalization, and Conditioning Author: Zhang Suhang Affiliation: Luoyang, Henan, China Abstract Building upon the algebraic-prob...
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 ...
Limit Argument for Conservation Law Preservation Author: Suhang Zhang Affiliation: Luoyang, Independent Private Researcher Abstract This paper investigates the preservation of conservation quantities for discrete dynamical systems in ...
Consciousness State Database and Consciousness Encoding Dictionary 1. Theoretical Necessity of the Consciousness Database Within the framework of the Elementary‑Wave Combinatorial Consciousness Theory, any conscious state is uniquely determined ...
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...
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, ...
--- Paper 1: The Fundamental Paradigm of Probability-Geometry Isomorphism: From Gaussian Distributions to General Measure Correspondences
Author: Zhang Suhang, Luoyang, Henan
The probability density function of the Gaussian dist...