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Topological Derivation of Twin Primes Based on the FNT Asymptotic Continuity Criterion
Author: Zhang Suhang, Luoyang, Henan
Preliminary Known Propositions
There are infinitely many primes (Euclid's classical result). Let the prime...
FNT's Explanation of Prime Distribution
Author: Zhang Suhang
School: Luoyang School of Mathematics
Abstract
Traditional analytic number theory shows that as numerical values tend to infinity, the distribution of primes tends ove...
Summary of the Riemann Hypothesis and the Siegel Zero Problem under the FNT Paradigm
Author: Zhang Suji, Luoyang, Henan
I. Core Positioning of FNT and Prime Fractions
Fractal Number Theory (FNT), relying on the FCFG fractal continued-frac...
Fractal Number Theory (FNT): Topological Reconstruction and Proof of Siegel Zeros Author: Zhang Suhang School: Luoyang School of Mathematics
Abstract The Landau–Siegel zero conjecture is a core problem in analytic number theory. If a ...
Fractal Number Theory (FNT): Topological Reconstruction and Proof of the Riemann Hypothesis
Author: Zhang Suhang School: Luoyang School of Mathematics
The Riemann Hypothesis is one of the central hard problems of modern pure ...
Topological Representation and Adaptation of Special Integer Systems within Fractal Number Theory (FNT) Author: Zhang Suhang, Luoyang, Henan The topological recursive representation system of Fractal Number Theory (FNT) is not limited t...
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...
Fractal Number Theory (FNT) and Riemannian Analytic Number Theory
Riemannian analytic number theory established a prime number research system centered on functions of a complex variable, analytic continuation, and the z...
The Significance of Prime Fractions for Complex Numbers
Traditional algebraic number theory, when dealing with the complex domain, has to restrict the complex bas...
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...
--- Generalized Factorization
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...
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...
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...
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...
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...
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...
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 ...
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...
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...
Topological Control and Orbital Steady-State Analysis of Megascale LEO Constellations Based on Discrete Order Geometry (DOG) Author: Zhang Suhang Affiliation: Luoyang School of Mathematics Abstract With megascale low-Earth orbit (LEO)...
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...
--- On Consciousness: The Objective Product of Higher Brain Computation
Author: Suhang Zhang | Luoyang, Henan
Consciousness is the reflection of the objective world by the human brain, and it is the result of human brain computation. A comp...
--- Hypersonic Boundary Layer Disturbance Saturation Constraint Based on Fundamental Fluid Axioms — An Engineering Correction Model Directly Embeddable in CFD
Author: Suhang Zhang Affiliation: Luoyang School of Mathematics
T...
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...
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, ...
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...
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 ...
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...
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...