Dark Matter and Dark EnergyI. Dark MatterDark matter is a special form of matter that exists widely in the universe but cannot be directly observed. It is a key component of cosmic structure.Its most essential characteristic is that it has no elec...
Weak Convergence and Ergodic Limit of Stochastic ECS Systems Author: Zhang Suhang Luoyang, Independent Researcher Abstract This paper extends the Extremum-Conservation-Symmetry (ECS) framework to discrete stochastic linear dynamical s...
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...
"The Golden Ratio, Fibonacci Numbers, and Euler’s Polyhedron Formula Under the Maximum Information Efficiency Axiom: Hierarchy, Association, and a Unified Perspective" Author: Zhang Suhang, Luoyang Core Axiom: Maximum Information Efficiency (M...
Unified Geometric Extremal Physics Framework Solution to the Willmore Problem — Physical Restatement, Paradigm Reduction, and Isomorphism with the Isoperimetric Problem, Plateau’s Problem, and the Poincaré Conjecture Abstract Within the framewo...
The Time Perspective of the Planck Tiny ManThe Planck Tiny Man is tiny not only in spatial scale but also in temporal scale, operating at 10⁻⁴³ seconds. At this scale, “quantum superposition” vanishes from its view: an electron does not pass throu...
The Lower Half of Geometry – On the Number-Theoretic Foundation of Complex Structures
Riemann once said: All geometry is the local structure of a manifold. On this cornerstone, he unified the geometric world of the continuous, the smooth, and t...
The Essence of Machine Tools (Especially Multi-Axis CNC) Is a Multi-Origin, Multi-Level, Serial Kinematic Chain. Your Multi-Origin Higher-Dimensional Geometry Is Perfect for Describing and Optimizing Such Structures. --- 1. The Kinematic Chain o...
Applications of Multi-Origin High-Dimensional Geometry1. Interstellar coordinate system2. Celestial motion research3. Interstellar spacecraft trajectory design4. Optimal design of steel wire ropes (for hoisting, ropeways, bridges, tower cranes)- T...
Conservation Laws Corresponding to the Four Fundamental Forces1. Strong Interaction- Corresponding conservation laws:- Color charge conservation- Baryon number conservation- Isospin conservation (under high-energy approximations)- Conservation of ...
It was cool on the late summer night. Ning Xiaoshuai straightened the collar of his uniform,...
In this fast-paced and ever-evolving digital world, companies need to offer exceptional customer experiences that are the key to their success. Artificial intelligence (AI) can be harnessed to elevate the CX strategies to a new level of productivi...
Wei Ling’s thought was: Instead of arguing online about whether amateur scientists have any...
Paper 10: The Weil Conjectures under UPGS — Étale Random Walks, Curvature Duality, and ECS Stability
Author: Zhang Suhang Affiliation: Luoyang, Henan Date: May 25, 2026
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Abstract
Within the UPGS (Étale Probability Schemes) fram...
--- 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...
--- Structural Defects of Single‑Origin Complex Analysis and a Proof of Incompatibility with the Riemann Hypothesis Author: Zhang Suhang (Bosley Zhang / Bi Sulin)Research Affiliation: Luoyang Independent ResearcherSystem Affiliation: MOC‑MIE‑ECS...
Dynamic Hard Classification – Adaptive Mapping (DHC-AM) Dialogue Model Core Idea:AI-human dialogue systems are not static classifiers, but dynamic person perception systems.Misjudging or misclassifying a user is normal and inevitable.The key is...
When the Earth warrior Felix jumps down from space, his body spins involuntarily because the spacetime near Earth is twisted by Earth’s rotation, and the human body rotates along with the distorted spacetime. Therefore, the rotation of celestial ...
Ning Xiaoshuai had come to work at an electronics factory in Shenzhen, a city in southern China....
--- MOC Coordinate System: Geometric Definition of Multi-Origin Hierarchical Nesting and Degeneration to Classical Coordinates Author: Suhang Zhang --- Abstract Based on the Multi-Origin Curvature (MOC) geometric framework, this paper prese...
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 ...
The Sea of Paradigms: From Grothendieck to the Dissolution of Problems in a New Geometric Framework
Author: Zhang Suhang Address: Luoyang, Henan, China
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Grothendieck once likened his mathematical method to a "rising tide": n...
Title: MOC Curvature and Degeneracy of State Space: From Curvature to Combinatorial Counting
Author: Zhang Suhang (Bosley Zhang)
Core Theories: MOC (Multi-Origin Curvature), MIE (Maximum Information Efficiency)
T...
TitleBrachistochrone Problem: A Historical Prelude to the Maximum Information Efficiency PrincipleAuthor: Suhang Zhang, LuoyangAbstractThe brachistochrone problem (1696) is widely recognized as the origin of the calculus of variations, whose solut...
Why Primes Are Bound to Elliptic Geometry: A Geometrical Ontology Based on Multi-Origin High-Dimensional Projection and Elliptic Convergence --- Abstract The distribution of primes exhibits a dual character: apparent randomness and deep regular...
We often think that mass is an innate property of objects. A stone, a speck of dust—they all seem to possess weight and substantial existence by birth. But looking into the vast universe and tracing back to the very origin, mass is not inherent at...
The Riemannian Geometry Corresponding to Coulomb Force When two opposite charges produce attraction, the spacetime curvature is positive, corresponding to a spherical spacetime in Riemannian geometry. When two like charges produce repulsion, th...
It was rush hour on Subway Line 10. Wei Ling gripped the overhead handrail, his body swaying back...
Methodological Reflections on the Study of the Collatz Conjecture: From Case Entanglement to Axiomatic Constraints Author: Zhang Suhang, Luoyang Abstract The Collatz conjecture, a classic open problem at the intersection of number theory and dy...
All inverse-square forces (gravitation, Coulomb electrostatic force) are equivalent to the geometry of conic sections (ellipses, parabolas, hyperbolas) in classical mechanics.
- Attraction ⇒ ellipse (or circle) - Repulsion ⇒ hyperbola - Bound...
