Paper 5: Stochastic Processes and Geometric Flows: From Random Walks to Brownian Motion and Quantum Probability Author: Zhang Suhang Affiliation: Luoyang, Henan Abstract This paper extends the probability-geometry isomorphism frame...
Paper 4: Geometric Reconstruction of Probability Axiom System: Kolmogorov Axioms Equivalent to Geometric Measure Axioms
Author: Zhang Suhang Affiliation: Luoyang, Henan
Abstract
This paper accomplishes a landmark unification between pr...
Paper 3: Geometric Embedding of Multidimensional Random Variables: Geometric Operations of Joint Distributions, Marginals, and Conditionals
Author: Zhang Suhang
Affiliation: Luoyang, Henan
---
This paper extends the proba...
Paper 2: Geometric Realizations of One-Dimensional Probability Distributions: Bell Curve, Staircase, Lattice, and Fractal
Continuing the probabilistic-geometric isomorphism fr...
The Foundational Paradigm of Probability-Geometry Isomorphism: From Gaussian Distribution to General Measure CorrespondenceAuthor: Zhang Suhang, Luoyang, HenanAbstractThe probability density function of Gaussian distribution p(x)=\frac{1}{\sqrt{2\...
Curb appeal and outdoor functionality are essential elements of any property. A well-maintained lawn, thriving gardens, and beautifully designed hardscapes do more than just make a house look attractive. They create a welcoming atmosphere, provi...
Scientific Implications of Frequency Difference Determining Probability: God Does Not Play Dice This conclusion settles the long-standing debate between Bohr and Einstein. If we follow Bohr’s standpoint, the universe would descend into chaos. ...
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...
Preliminary Exploration of the Fusion Configuration as a Concrete Prototype of Fiber Bundles Author: Zhang Suhang, Luoyang, Henan
--- Abstract Based on previous research results on spherical cap‑derived self‑similar geometry (SCD‑SG), thi...
Have you ever dreamed of running your own business, watching your profits soar, and building an empire from the ground up? While actual entrepreneurship can be a daunting task, the world of store management games offers a delightful and low-stakes...
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...
Application Chapter —— Grounded Mapping of the Three‑Layer Number‑Theoretic Structure in Computing and Engineering
Author: Zhang Suhang (Luoyang, Henan)
Abstract Based on the three‑layer structure of “prime primitive – regular co...
Part Three: Fractal-Coefficient Coupled Evolution —— Synchronous Mapping from Numerical Parameters to Graphical Forms
Abstract Based on the analogical framework and axiomatic system establish...
Ever find yourself humming along to a song on the radio, knowing you recognize it but can’t quite place the name? If so, you're the perfect candidate for Heardle! This simple but addictive online game takes the concept of "name that tune" and boil...
Part Two: Axioms and Mathematical Formulas —— Formal Foundations of the Composite Number Construction System
Abstract Based on the analogical framework of “primes–composites” and “fractal pri...
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 ...
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)—...
Curvature-Driven Fluid Equation Verification via Discrete Order Geometry: A Numerical Case Study
Author: Zhang Suhang (Independent Researcher, Luoyang, Henan)
Within the Multi-Origin Curvature (MOC) framework, the stea...
Proof of Global Smooth Solutions to the Navier-Stokes Equations within the DOG/MOC/ECS/MIE Framework
Author: Zhang Suhang Address: Luoyang, Henan
The existence of global smooth solutions to the Navier-Stokes (NS) equati...
In an increasingly globalized world, the ability to communicate across borders is one of the most valuable assets a professional can possess. As companies look to expand their footprint, the demand for individuals who can bridge cultural and lin...
Maintaining a strong immune system is one of the most important steps toward living a healthier and more productive life. In today’s fast-paced environment, many people struggle with stress, unhealthy eating habits, irregular sleep schedules, an...
The Importance of Strong Search Visibility Today’s digital marketplace requires more from businesses than just a website. They need visibility, credibility and consistent traffic from search engines. A professional SEO Agency India helps brands...
Discrete Order Geometry (DOG) and Knot Topology: From Continued Fraction Recursion to Interdisciplinary Topological Applications
Knot topology has long been regarded as a branc...
Discrete Order Geometry (DOG) and Harmonic Analysis: A Unified Framework for Decomposition and Reconstruction of Smooth Fields
Author: Zhang Suhang Independent Researcher · Luoyang
This paper establishes a fundamental com...
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...
Proof of the ABC Conjecture within the DOG/MOC/ECS/MIE Framework
The ABC conjecture is a central problem in number theory. Shinichi Mochizuki attempted to prove it using his...
In today’s competitive industrial landscape, manufacturers are under constant pressure to increase productivity, reduce operational costs, maintain product consistency, and meet strict environmental and safety standards. One of the most overlooked...
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...
Yang–Mills Equation Derived Core Formulas for Spectral Counting
Consistent with the DOG/MOC/ECS/MIE framework, this paper starts from the fundamental Yang–Mills equations an...
Proof of the P vs. NP Problem within the DOG/MOC/ECS/MIE Framework
The P vs. NP problem is a central open question in theoretical computer science, asking whether every prob...
