Author: Zhang Suhang, Luoyang Part I (Corresponding to 3.1): Axiomatic Constraint – Maximum Information Efficiency (MIE) in the Collatz System Axiomatic Reconstruction of the Collatz Conjecture (I): The Maximum Information Efficiency Axiom as...
Soon, Yan Xiaofan turned three and was old enough to visit relatives with his parents for the New...
Wei Ling sat cross-legged on the sofa, a bowl of instant noodles balanced on his knee. The cold...
The Primal Source of the Three Noether SymmetriesUnder the MOC (Multi-Origin Curvature) Framework...
49 Conservation Laws Corresponding to the Three SymmetriesIn the framework of physics, the correspondence between symmetry and conservation is a fundamental principle running through both classical and modern physics. Noether’s Theorem precisely r...
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...
1. Strong Interaction - Symmetry Group: SU(3) The gauge group of color charge, and the...
As the faint glow of the ionosphere washed over Yan Shifan’s soul, he still clung to the rage and...
Earth was finally calm. The Moon’s tides continued to slow its rotation. A day stretched...
Another unfamiliar city. Xiaoshuai dragged his heavy feet out of the station, and a wave of...
After leaving the factory, Xiaoshuai searched everywhere for a job, but found nothing for more...
Paper 2-4: Quadratic Solids of Revolution: Generalization of the Π Operator for Ellipsoids and Analysis of Eccentricity Effects
Author: Zhang Suhang
(Luoyang School of Mathematics) Abstract
An ellipsoid is a natural generalization of a...
Continuous Extension of the Multi-Origin Curvature Symmetry Group in ECS Theory
Author: Suhang Zhang Affiliation: Luoyang, Independent Private Researcher
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Abstract
This paper establishes the rigorous continuous extension of the dis...
--- Derivation of the Strong Interaction from the MOC Unified Curvature Equation(UCE) Author: Zhang Suhang (Bosley Zhang), Luoyang --- 1. Curvature Degrees of Freedom for the Strong Interaction The total curvature scalar K in MOC is decompose...
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...
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...
The Higgs field is a quantum field that permeates the entire universe. It is a key mechanism in the Standard Model of physics for converting energy into mass, and is regarded as the fundamental process by which elementary particles acquire mass.In...
Extremum-Conservation-Symmetry (ECS) Universal Unification TheoryStructure-Preserving Extension of Discrete Systems to Continuous Limits苏杭 Zhang, Bosley Zhang(Luoyang) AbstractThis paper rigorously addresses the limit transition problem from discr...
The Spacetime Geometry Hierarchy and Theoretical Boundary Analysis of Natural Gravitational Fields, Gravity Assists, and Artificial Warp Drives Author: Zhang Suhang, Luoyang Abstract General relativity reinterprets the essence of gravity as t...
Multi-Origin High-Dimensional GeometryA Unified Framework: Dynamics · Information Theory · Neural Networks I. FoundationMulti-Origin + Curvature Space + High-Dimensional Projection- Each node (particle, information source, neuron) acts as an indep...
In the framework of multi-origin geometry, the novel curvature of space exhibits a positive correlation with the rotation and revolution of celestial bodies: the greater the curvature, the higher both the intrinsic rotational angular velocity and ...
Curvature of Fields and a Meditation on the Hierarchy of Physical Unification Isomorphism of mathematical formulas implies that they share similar or identical underlying physical principles—this is the master key to understanding the unification...
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...
DOG Discrete Order Geometry and Group Theory: The Origin of Symmetry in Constant-Coefficient Recursion
Group theory is the core language for describing symmetry in modern mathe...
MOC Embedding Theorem: Embedding Representation of Complex Projective Algebraic Varieties in Multi-Origin Curvature Geometry Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract Traditional complex projective algebraic varieties are built ...
--- The Deep Relationship Between Gödel’s Incompleteness Theorems and the MOC Multi-Origin Curvature Logic Model I. Defining the Core Essence of Each 1. Gödel’s Incompleteness Theorems In any consistent axiom system that contains basic arithme...
Convergence of Discrete Algebraic Riccati Equation and Uniform Estimation of Matrix Exponential Approximation Author: Suhang Zhang Luoyang Abstract This paper systematically studies two core problems in sample...
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...
All Functions Return to Elliptic Functions I. Proposition Within the unifying worldview that "geometry is the mapping of reality, ultimately culminating in number theory," the world of functions also has its ultimate destination: All functions ...
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...