Geometric Origin of Analytic Number Theory: Unified Compatibility of AMG Arithmetic Manifold Geometry, UCE Curvature Duality Symmetry and the Prime Analytic System Author: Zhang Suhang School: Luoyang School of Mathematics Abstract ...
The Schwarzschild Vacuum Solution and Metric-Free Spacetime Configuration within the Dynamic Vector Geometry (DVG) Framework Author: Zhang Suhang School: Luoyang School of Mathematics Date: October 2026 Abstract The classical Schw...
Reconstruction of General Relativity and a Simplified Computational System under the Dynamic Vector Geometry (DVG) Framework Author: Zhang Suhang School: Luoyang School of Mathematics October 2026
Abstract
Traditional general relativit...
Fundamental Axioms of Fluid Mechanics: Normal Boundedness and Tangential Convergence—A Unified Proof of Turbulence Finiteness and Global Flow Direction, and a Differentiation from N-S Blow-up Special Cases
Author: Zhang Suhang
Luoyang Sch...
Reduction of the Unified Curvature Equation to the Classical Limit: From UCE to General Relativity, Classical Field Theory and Mechanics Author: Zhang Suhang Affiliation: Luoyang School of Mathematics Abstract The Unified Curvature...
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N–S and Bernoulli: Parent Equation and Special Case Author: Zhang Suhang Luoyang School of Mathematics It is often questioned that the Bernoulli equation, established as early as 1738, can accurately calculate pipe flows, airfoil pressure...
--- On the Significance of Fields in Physics Author: Zhang SuhangAffiliation: Luoyang School of MathematicsDate: October 2026 Abstract Throughout the history of physics, the concept of the field has permeated all systems spanning classic...
Generalized Factorization and Fractal Number Theory（FNT）
Author: Zhang Suhang Luoyang School of Mathematics
Abstract Traditional number theory takes the Fundamental Theorem of Arithmetic in the ring of integers as its absolute cornerston...
On the Conditions for the Validity of the Law of Excluded Middle—The Mutual Reinforcement of Weyl’s Mathematical Boundary and the Spatiotemporal-Observation Boundary
Luoyang School of Mathematics
Since ...
A DOG-Based Snapshot Solver Model for Stellar Many-Body Topological Evolution
Author: Zhang Suhang Institution: Luoyang School of Mathematics
Traditional celestial many-body dynamics has long relied on the continuous spacetime f...
Geometric Reconstruction of Ramanujan’s Microstate Counting for Black Hole Entropy within the Dynamic Vector Geometry (DVG) Framework Author: Zhang Suhang School: Luoyang School of Mathematics Date: October 2026 Abstract The stati...
Structured Information: Applications of MOC Information Topology Author: Zhang Suhang, Luoyang, Henan Abstract Classical information theory is built around the framework of Shannon entropy, founded on assumptions of probability statisti...
Kinetic Entropy Increase and Macroscopic Dissipation: On the Energy Mechanism of Continuous Fluid TransportAuthor: Zhang SuhangLuoyang School of MathematicsAbstractMacroscopic fluid flows possess an intrinsic property of irreversible dissipation, ...
On FCFG: From Algebraic Coupling to Topological Unity Author: Suhang Zhang Luoyang School of Mathematics Abstract In the history of mathematics, two renowned breakthroughs have sought the unification of the transcendental numbers e a...
A Four-Dimensional Algebra Construction Adapted to Fibre Bundle Topology and Its Structural Correspondence to Fundamental Interactions Author: Zhang Suhang, Luoyang, Henan Abstract This paper proposes a four-dimensional algebraic la...
DVG Topological Ball: Dynamic Genus Vectors and a Virtual–Real Topological Transformation System Author: Zhang Suhang School: Luoyang School of Mathematics October 2026 Abstract Classical differential topology is built on the foundation of...
--- Generalized Factorization
Author: Zhang Suhang, Luoyang, Henan
Traditional factorization is based on arithmetic splitting within the ring of integers and serves as the cornerstone of modern cryptography such as RSA. However,...
Fractional-Prime Frequency Division Architecture: Topological Paradigm of Structured Information and Computing Power Regularization Author: Zhang Suhang, Luoyang, Henan Abstract Modern big data systems and generative information fields...
Geometric Unification of Fluid Motion Forms Author: Zhang Suhang Luoyang School of Mathematics
Abstract Traditional fluid mechanics usually regards rectilinear (straight) flow and circulatory vortex flow as two mutually independent forms ...
DOG Discrete Order Geometry: Resolution of the Dichotomy between Discreteness and Continuity via Hierarchical Paradigm ReconstructionAuthor: Zhang SuhangAffiliation: Luoyang School of MathematicsAbstractThe binary opposition between discrete an...
The Heartbeat of the Universe: Using DOG Order Geometry to Predict the Future of the Stars
Institution: Luoyang School of Mathematics
When we look up at the Big Dipper on a clear night, we always assume that this star...
The Reconstruction of Applied Science from the Perspective of FCFG: From Prime-Fraction Substrates to a Geometric Revolution in Industry and Physics Author: Suhang Zhang Luoyang School of Mathematics Abstract The research and developm...
Integers and Fractions from the Perspective of FCFG Author: Suhang Zhang Luoyang School of Mathematics Abstract In traditional number theory, integers and fractions are merely different numerical forms within the set of rational numb...
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Fundamental Axioms of Fluid Dynamics: Tangential Convergence and Normal Boundedness — An Analysis of Turbulence Finiteness, Global Flow Stability, and the Domain of N-S Blow-up Solutions
Author: Suhang Zhang Affiliation: Luoyang Schoo...
A Summary of the Riemann Hypothesis and the Siegel Zero Problem under the FNT Paradigm
Author: Zhang Suhang Affiliation: Luoyang School of Mathematics · Luoyang, Henan
I. Core Positioning of FNT and Prime Fractions
Fractal Number Theory ...
Topological Classification and Snapshot Solution of Classical Three-Body and N-Body Problems Based on DOG-FCE Steady-State Constraints Author: Zhang Suhang Institution: Luoyang School of Mathematics Abstract The three-body and N-body ...
The Significance of Prime Fractions for Complex Numbers
Author: Zhang Suhang School: Luoyang School of Mathematics
Traditional algebraic number theory, when dealing with the complex domain, has to restrict the complex bas...
Prime Fractions and Primordial Nested Fractals Author: Suhang Zhang Luoyang School of Mathematics Abstract In traditional number theory, prime numbers are indecomposable integer primitives. Their reciprocals are merely treated as ordina...
Adaptation, Expansion and Boundary Definition of Fractal Number Theory (FNT) for Classical Branches of Number Theory Author: Zhang Suhang School: Luoyang School of Mathematics Abstract Fractal Number Theory (FNT), equipped with fra...