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...
The Primal Source of the Three Noether SymmetriesUnder the MOC (Multi-Origin Curvature) Framework...
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...
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...
As the faint glow of the ionosphere washed over Yan Shifan’s soul, he still clung to the rage and...
DOG Discrete Order Geometry and Modular Forms: The Recursive Nature of Coefficient Sequences
Author: Zhang Suhang Address: Luoyang, Henan
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Abstract
Modular forms are central objects in number theory and algebraic geometry; their Fo...
--- 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...
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...
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...
Soon, Yan Xiaofan turned three and was old enough to visit relatives with his parents for the New...
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...
Earth was finally calm. The Moon’s tides continued to slow its rotation. A day stretched...
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...
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...
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...
1:23:40 a.m. Beneath the night sky over Pripyat, time felt as if it had been seized by an icy...
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...
--- The Four Great Lineages of Calculus: A Unified Classification Framework for Lines, Loops, Surfaces, and Volumes Author: Zhang Suhang (Luoyang) Abstract: Classical calculus presents a vast array of integral forms — ordinary definite integral...
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...
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...
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...
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...
Another unfamiliar city. Xiaoshuai dragged his heavy feet out of the station, and a wave of...
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...
--- 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...
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...
Why Do Vortices Pull Objects In? — A Challenge to the Bernoulli Explanation and a Multi-Origin Geometric ModelAbstractBernoulli’s principle is commonly used to explain why vortices draw objects inward, yet it only applies to two‑dimensional ideal ...
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...
Jerry’s abnormality was finally fully exposed to humans.
It began with routine data transmission. The assistant monitoring Jerry stared at the movement map on the screen, frowning deeper and deeper. Jerry was a highly trained agent rat—every ...