The Sphere Theorem as a Natural Consequence of Unified Geometric Extremal Physics in Three‑Dimensional Topology – More Fundamental and More “Foundational” than the Poincaré Conjecture 1. Standard Formulation of the Sphere Theorem in 3‑Manifolds ...
The Decisive Influence of Gravity on the Evolution of Animal Body Size and Physiology In the natural world, the evolution of animal body size and species distribution is often attributed to climate, food availability, and competition. But the hid...
Why are gravitational force and Coulomb force so similar?
The first scientist to explore this phenomenon was the famous Michael Faraday, though he obtained no conclusive results.
Later, people explained this phenomenon with the following r...
Feminism had flourished for two hundred years. Women had fought for and won countless rights,...
Renormalization Group Equations for Quantum Gravity Based on the Discrete Parent GroupAuthor: Suhang Zhang, Luoyang, HenanAbstractThe ultraviolet divergences in quantum gravity originate from the assumption of infinitely differentiable continuo...
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...
Theoretical Calculation of Mercury’s Perihelion Precession under the Multi-Origin Curvature (MOC) Framework Author: Zhang Suhang (Luoyang, Henan)Affiliation: Independent Researcher Abstract: Based on the Multi-Origin Curvature (MOC) theory, this...
After leaving the factory, Xiaoshuai searched everywhere for a job, but found nothing for more...
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...
--- A Study of Fractal Order and Chaos Emergence Mechanisms Based on Finite-Level Continued Fraction Sequences Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract Fractal geometry and continued fractions belong respectively to the two ma...
Paradigm Integration of Topology and Fiber Bundle Theory from a High-Dimensional Multi‑Origin Perspective
Abstract Based on the core paradigm of the MOC (Multi‑Origin Coordinates) high‑dimensional framework, this paper focuses solely on cla...
Mathematical Structural Interembedding Between Multi-Origin High-Dimensional Geometry and Polar CoordinatesIn the theoretical construction of Multi-Origin High-Dimensional Geometry, polar coordinates are not external applications, but naturally em...
Numerical Cases and Analysis of Two Basic Navier-Stokes Formulas Author: Zhang Suhang Version 1: Basic Paradigm (ECS + DOG + MlE) boldsymbol{U}^{n+1} =mathop{argmin}{boldsymbol{U}inmathcal{H}} mathcal{E}big(boldsymbol{U},nablaboldsymbol{U}big) ...
--- Paper 1: The Fundamental Paradigm of Probability-Geometry Isomorphism: From Gaussian Distributions to General Measure Correspondences
Author: Zhang Suhang, Luoyang, Henan
The probability density function of the Gaussian dist...
Formal Paradigm of Unified Geometric Extremal Physics
1. Abstract Definition of the Paradigm
Definition (Unified Geometric Extremal Paradigm)
A geometric extremal problem is said to admit a unified physical–geometric paradigm if the...
Consciousness is not determined by any single type of brain wave alone, but by the dynamic coding structure formed by the permutation and combination of various fundamental brain waves, which directly corresponds to a specific state of consciousne...
Chen Guo stood before the floor-to-ceiling windows of his 28th-floor office in Jinding...
Unification of Honeycomb and Leaf Vein under the Axiom of Maximum Information EfficiencyAuthor: Suhang Zhang AbstractThe honeycomb uses the least beeswax to enclose the maximum volume. Leaf veins use a limited network of vessels to cover the maxim...
Projective Generation Theory of Multi-Origin High-Dimensional Geometry and the Ultimate Convergence Principle of Two-Dimensional Figures This chapter establishes the ontological foundation and the ultimate closed-loop structure of the entire theo...
God buried his face in his arms, breathing evenly. Then he dreamed.The scene in the dream was...
It was rush hour on Subway Line 10. Wei Ling gripped the overhead handrail, his body swaying back...
Part One：Structural Limitations of Classical Set Theory and the Necessity of Expanding the Hierarchically Nested Set Paradigm Author: Zhang Suhang, Luoyang, Henan Abstract Since the emergence of naive set theory and the establishment of the ...
Two Conjectures, One Axiom
Collatz and Goldbach—one dynamic, one static; one iterates downward, one splits upward. On the surface, they seem unrelated, yet under the framework of the ECS Axiom, they share the same underlying logic:
Symmetry ...
Axiomatic Proof of the Goldbach Conjecture: Based on the ECS Framework (Extremum-Conservation-Symmetry)
Author: Zhang Suhang (Luoyang)
Abstract: The Goldbach Conjecture asserts that every even integer not less than 4 can be expressed as th...
--- Force as Potential Gradient: A Universal Theorem in Geometric Extremum Physics and a Unified Framework for Conservative Interactions (Revised Edition)
Abstract Based on the Multi-Origin Curvature (MOC) axiom of spatial description and the...
Let’s cut to the chase. If your business is online, chances are, fraud is a concern. In the United States alone, businesses lost over 4 billion USD to cybercrime in 2020. As more and more people begin using their devices for daily tasks such...
Part One: Analogical Foundation in Number Theory —— The Fractal Generation Logic of Composite Numbers
Abstract Starting from the constructive processes of number theory and fractal geometry, this paper ...
Derivation of Euler’s Formula from the Maximum Information Efficiency (MIE) Axiom Prerequisites · Consider a connected planar graph (nodes and edges without crossings). It may be the edge graph of a convex polyhedron, a leaf vein network, an e...
Unification of the Four Fundamental Forces Gauge fields have unified the weak force, strong force, and electromagnetic force. However, they have not unified gravity and electromagnetic force. I have unified gravity and electromagnetism using...
That night, Chen Guo lay on an Italian leather sofa—cream-white, top-grain calfskin. When he...
