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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...
What Is Engine Detailing, Really? Engine detailing is the careful cleaning, degreasing, and dressing of the engine bay and its components. Done correctly, it removes built-up dirt, oil residue, and debris without harming sensitive parts like elec...
Paper 4-1: Extension of the Π Operator to Four-Dimensional and Higher-Dimensional Euclidean Manifolds Author: Suhang Zhang (Heluo Mathematical School) Abstract A complete system of axioms, channels and algebraic structures for the Π...
--- 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...
Frequency Difference Determines Probability: Geometric Proof of God Does Not Play Dice from the Perspective of Discrete Order Geometry Author: Zhang Suhang Address: Luoyang, Henan, China Abstract The intrinsic randomness of probabi...
Paper 5-2: Historical Review on the Evolution of π Research: From Euler and Ramanujan to the Formulation of the Π Operator System Author: Suhang Zhang (Heluo School of Mathematics) Abstract The cognitive history of π consists of three ...
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...
Frequency Difference Determines Probability Distribution: Empirical Verification Based on Multi‑Country Academic Dissemination Data Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract The core proposition of Discrete Order Geometry (DOG)—...
Proof of the P vs. NP Problem within the DOG/MOC/ECS/MIE Framework
Author: Zhang Suhang Address: Luoyang, Henan
Abstract
The P vs. NP problem is a central open question in theoretical computer science, asking whether every prob...
DOG Discrete Lattice Unified Four-Force System: Completeness Conclusion for Quantitative Computation
Author: Zhang Suhang, Luoyang
Core Conclusion
The unified four-force mathematical-physical system based on Discrete Order Geome...
Discrete Order Geometry (DOG) and Classical Fractal Geometry: Paradigm Comparison and Pain Point Resolution
Author: Zhang Suhang Luoyang
Abstract: Classical fractal geometry, with its core assumptions of infinite self‑similarity and ...
--- 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...
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 ...
Proof that the Critical Line is the Principal Axis of Global Curvature Equilibration
Author: Zhang Suhang (Independent Researcher, Luoyang)
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Eleventh ...
A Topological Extremum Solving Method for the Navier-Stokes Equations Based on the boldsymbol{Pi} Projection Operator and the MOC-DOG-ECS-MlE Framework
Author: Zhang Suhang
1. Introduction The Navier-Stokes (NS) equations serve as the cor...
--- 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...
Paper III: Global Unification of the Three Underlying Physical Systems of Mechanics, Geometry, and Energy via ECS Author: Zhang Suhang (Heluo School of Mathematics) AbstractBy integrating the complete set of derivations with newly established me...
Paper E4-4: Generator Relations between Euler’s Formula and the Π-Operator Author: Suhang Zhang (Heluo School of Mathematics) Abstract Euler’s formula e^{i\theta}=\cos\theta+i\sin\theta intrinsically links complex exponentials to circu...
Proof of the Twin Prime Conjecture within the DOG/MOC/ECS/MIE Framework
The twin prime conjecture is a century‑old core problem in analytic number theory. Its weak version, p...
Hierarchical Classification, Applicability Boundaries, and Value Analysis of Three Types of Flow Control Formulas under the Navier-Stokes System Author: Zhang Suhang AbstractRegarding the four core equations derived from the Multi-Origin Coordin...
Paper 3-2: Composite Transformations and the Structure of Dimensional Transformation Group Author: Suhang Zhang (Heluo Mathematical School) Abstract The core function of the \Pi-operator is to perform mapping operations between spac...
--- Part IV: Discrete Origin and Continuous Limit: The Unified Resolution of Binary Forms in the New Set Theory Author: Zhang Suhang, Luoyang, Henan Abstract The binary fragmentation between discrete and continuous is one of the longest-standi...
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.
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...
Feminism had flourished for two hundred years. Women had fought for and won countless rights,...
Paper II: Rigorous Derivation of Symplectic Structure Breakdown (Proof of the Degeneration of the Symplectic Form boldsymbol{omega}) Author: Zhang Suhang (Heluo School of Mathematics) Prerequisite KnowledgeFor a finite-dimensional Hamiltonian sy...
Paper 2-1: Dual-Channel Transformation of the Π Operator for Cylindrical Bodies Author: Zhang Suhang (Heluo Mathematical School) Abstract A cylinder is the simplest non-spherical solid of revolution. Its formation intrinsically corr...
Geometric Progressive Conservation Law and the Complementary Architecture of Noether Theorem — Dual Paradigm Unification of Geometric Origin and Symmetric Origin
Author: Zhang Suhang Affiliation: Luoyang, Henan
In class...
Part Three: Fractal-Coefficient Coupled Evolution —— Synchronous Mapping from Numerical Parameters to Graphical Forms
Author: Zhang Suhang (Luoyang, Henan)
Abstract Based on the analogical framework and axiomatic system establish...
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 ...
