Unified Theory of the Four Fundamental Interactions under the Discrete Lattice Paradigm of the DOG Universe Author: Zhang Suhang, Luoyang, Henan --- Core Synopsis The entirety of spacetime is fundamentally a giant discrete DOG cosmic lattice. ...
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 ...
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Discrete Order Geometry (DOG): Primitive Inclusion and Paradigm Incorporation of Fiber Bundle Theory – A Unified Geometric Architecture with Discrete Connection as the Primordial Source and Smooth Connection as the Continuous Special Case ...
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 ...
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...
How Companies Operate Today Business is done at a fast pace today. With distributed teams, a rapidly expanding sea of data, and ever-increasing expectations, the need for streamlined work processes is greater than ever. This is why most companies...
From Newton to Riemann, from fluxions to manifolds. Everything flows, nothing stands still. Is mathematics really so dull and boring? I don't think so!
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 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...
Markov Theory as a Strict Special Case of the UPGS Universal Axiom System
Author: Zhang Suhang (Founder of the He-Luo Mathematical School)
Abstract
This paper independently, purely, and rigorously demonstrates the axiomatic hierarchy a...
--- The End of the Third Mathematical Crisis: MOC Multi-Origin Curvature Geometry and the Restructuring of Mathematical Foundations
Author: Zhang Suhang (Bosley Zhang)
Founder of the Heluo Mathematical School
Three foundation...
Spherical-Cap Derived Self-Similar Geometry (SCD-SG): A New Natural Finite-Level Spherical Composite Solid Geometry Author: Zhang Suhang, Luoyang, Henan Abstract Nature abounds with three-dimensional composite configurations featuri...
DOG Primitive Theorem: Natural Emergence of Algebraic Cycles in Discrete Order Geometry
Author: Zhang Suhang Address: Luoyang, Henan
Algebraic cycles (algebraic subvarieties) are the central objects of the Hodge conjectur...
--- 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...
--- Integrating All Physical Elements and Factors into the Geometric Recursive Conservation Chain（UGSL）: A Unified Logical Framework
Author: Zhang Suhang
I. General Outline: The Universal Conservation Rule for All Physical Elements
Core ...
Proof of the BSD Conjecture within the DOG/MOC/ECS/MIE Framework
The BSD (Birch and Swinnerton-Dyer) conjecture is a Millennium Problem in number theory concerning the equal...
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...
Discrete Order Geometry (DOG) Framework for the Geometric Origin of Weak Interactions: From Discrete Chiral Lattice Points to the V–A Current Author: Zhang Suhang(Luoyang, Independent Researcher) Abstract: Based on the four‑dimensional discre...
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...
--- 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...
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 Impact of Multi-Origin High-Dimensional Geometry on Radar DesignIn modern national defense and detection systems, radar has long been more than a device for detecting targets. It serves as a core strategic equipment supporting battlefield situ...
A Universal Resolution Theory for Self-Reference Paradoxes Based on MOC Multi-Origin Curvature Geometry
Author: Zhang Suhang (Founder of the Heluo Mathematical School)
Self-reference paradoxes have stood as a core conundrum pla...
--- Complete Proof of the Gilbert-Pollak Conjecture Based on the MOC-DOG-MIE-ECS Native Framework Author: Zhang Suhang, Luoyang, Henan --- Abstract The Gilbert-Pollak conjecture is a core classical problem in planar extremal geometry. Traditi...
Dynamical Substrate of FCFG: Continued-Fraction Expansions of Complex Exponentials and Spin-Fractal Recursive IsomorphismAuthor: Zhang SuhangCore Axiomatic Support: FCFG Recursive Isomorphism Axiom (r_n = S_n); Multi-Origin Curvature (MOC) Framewo...
Differential Equations as the Continuum Limit of DOG Discrete Order
Differential equations are the mainstream mathematical tool for describing the evolution of continuous syste...
The Sea of Paradigms: From Grothendieck to the Dissolution of Hard Problems in a New Geometric Framework Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract Grothendieck once likened his mathematical method to a "rising tide": instead of ...
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...
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...
Chapter 1：Geometric Origin of the Law of Excluded Middle The Emergent Essence of Classical Logical Laws under the MOC Framework
Author: Zhang Suhang (Luoyang, Henan, China)
Chapter 1 Introduction: The Sanctity and Fractures of the L...
