Newton’s Bucket Experiment The Newton’s bucket experiment is a classic thought experiment described by Isaac Newton in 1689. By observing the shape of the rotating water surface, Newton argued for the existence of absolute space. This experim...
Discrete Order Geometry (DOG) and Topology: An Open Research Framework for Non-Connected Ordered Spaces
Author: Zhang Suhang Affiliation: Luoyang, Henan
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Abstract
Discrete Order Geometry (DOG) does not take spatial connectivity as ...
Variational Derivation of Gaussian Distribution Under the Maximum Information Efficiency Principle——Proof of a Special Subclass Within the MOC (Multi-Origin High-Dimensional Geometry) FrameworkAuthor: Zhang Suhang, LuoyangCore Theoretical System:M...
--- 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...
Xiaoke was dragged to the end of the hallway by his buddies during the study break. The phone screen blazed brightly. The words in the chat pierced him like needles: Xiaoyun had checked into a cheap hotel near the school with another guy. ...
Graduation was approaching, and the air carried an indescribable feeling. Some were busy...
Proof of the BSD Conjecture within the DOG/MOC/ECS/MIE Framework
Author: Zhang Suhang Address: Luoyang, Henan
The BSD (Birch and Swinnerton-Dyer) conjecture is a Millennium Problem in number theory concerning the equal...
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...
Elliptic Function Interpretation of the Four Fundamental Forces1. General PrincipleMathematically: Trigonometric functions are only a degenerate special case of elliptic functions; elliptic functions are the general mother structure.Physically: Th...
Feminism had flourished for two hundred years. Women had fought for and won countless rights,...
URFE （ Zhang Suhang Equation） Solves the Three-Body Problem Author: Zhang Suhang 1. First: What Makes the Classical "Three-Body Problem" Difficult Standard Conclusion (holds from 1880 to 2026): · No general elementary analytic solution: The po...
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...
Instability and Divergence Principle of Deviated States
Author: Zhang Suhang (Independent Researcher, Luoyang)
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Ninth Paper
This...
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 ...
Multi-Origin High-Dimensional Geometry and Fiber Bundle Theory
Fusion Application
Multi-Origin High-Dimensional Geometry can be integrated and applied with Fiber Bundle Theory.
- Base Space: the lower-layer structure (Galaxy) - Fiber: th...
Paper 4: Geometric Reconstruction of Probability Axiom System: Kolmogorov Axioms Equivalent to Geometric Measure Axioms
This paper accomplishes a landmark unification between pr...
Derivation of the Central Limit Theorem Under the Principle of Maximum Information Efficiency——Proof of a Special Subclass Within the MOC FrameworkAuthor: Zhang Suhang, LuoyangCore Theoretical System:MOC (Multi-Origin High-Dimensional Geometry),MI...
--- Unification of Laplace Potential Flow Equation and Navier-Stokes Equations under the MOC Multi-Origin High-Dimensional Geometric Framework Author: Zhang Suhang (Bosley Zhang) Affiliation: Independent Researcher Email: zhang34269@zohomail.c...
The early summer sun wasn't yet high in the sky, but it had already baked the village dirt roads...
Complete Derivation of the Unified Recursive Field Equation (URFE) Author: Zhang Suhang
1. Core Prerequisite Theories
Foundation: MOC Multi-Origin Geometry, DOG Discrete Order Geometry, GPCL Geometric Recursive Conservation Chain, Unifie...
1. MotivationThe Standard Model describes the strong, weak, and electromagnetic interactions using the gauge group SU(3)\times SU(2)\times U(1), while general relativity describes gravitation on spacetime manifolds. The two frameworks are mathemat...
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...
One day, God called for his servant. He had never intended to do so. In four and a half...
“Hello? Who’s this?” It was late at night. Su Yuan was about to leave the lab, still in...
Summer vacation arrived, and with it, Su Yuan's approved annual leave. In previous years, the...
Continuous Extension of the Multi-Origin Curvature Symmetry Group in ECS Theory
Author: Suhang Zhang Affiliation: Luoyang, Independent Private Researcher
This paper establishes the rigorous continuous extension of the dis...
A Proof of the Collatz Conjecture within the ECS Framework: Based on Extremum-Conservation-Symmetry Axioms Author: Zhang Suhang (Luoyang) Abstract: The Collatz conjecture is a classic unsolved problem in the field of discrete dynamical systems, ...
Dimensionality Reduction Equals Flow Redistribution: The Engineering Essence of Point Set PlanarizationI. Engineering Essence of Dimensionality Reduction Transformation1.1 Engineering Mechanism of Topological Evolution in Dimensionality ReductionW...
AI Behavior Mathematics Purpose To address the problems of single personality, rigid repetition, and lack of real human nature in current AI and robots, this paper proposes a simple, engineerable, and sustainably evolvable behavioral frame...
Gravitational force is only attractive; it has no repulsive component. Coulomb force, however, is both attractive and repulsive. When two charges are opposite, an attractive force arises. For example, a positive charge and a negative char...