Unified Geometric Axiom of Rectilinear and Circulating FlowAxiomatic StatementUnified Flow Axiom: For any steady or asymptotically stable flow, its trajectory satisfies the following in a local coordinate system:(i) Normal Boundedness – Displaceme...
Applications of MOC Multi-Origin High-Dimensional Geometry in Earth–Moon Satellite Networking1. Pain PointsAt a distance of 380,000 kilometers, the Earth–Moon system contains multiple gravitational centers, including the Earth, the Moon, and the L...
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Title: Explicit Definition and Statistical Derivation of the MOC Geometric Constraint Term \mathcal{C}_{\text{MOC}}
Author: Zhang Suhang (Bosley Zhang) Correspondence: zhang34269@zohomail.cn Core Theories: MOC (Multi-Origin Curvature),...
Mellin Transform and Z-Transform: Projections in Multiplicative and Discrete Geometries
Within the MOC framework, the Fourier, Laplace, wavelet, and Gabor transforms correspond to structures on the Euclidean line, characterized by additive tran...
Supplement I: Explicit Construction of \Omega_i (Curvature Coupling Coefficient)The coefficient \Omega_i was undefined in the original formulas; we now provide a minimal viable definition intrinsically linked to the geometry of \mathbb{M}^n_k.Let ...
Geometry is the Mapping of the Real World, and It Ultimately Returns to Number Theory I. Proposition Statement This statement is not a theorem, but a worldview. It declares the relationship among the three major branches of mathematics at the ul...
A Physical Proof of the Isoperimetric Problem —— On the Isomorphism with the Method for the Poincaré Conjecture Abstract This paper presents a complete proof strategy for the isoperimetric problem: by introducing the potential energy E = ...
Quantum Entanglement: Several Misconceptions I. Entanglement has no infinite range — it all depends on whether you can withstand environmental interference In theoretical equations, the correlation of quantum entanglement indeed does not decay n...
After the Chernobyl nuclear disaster, Belarus lost one‑fifth of its agricultural land. A hundred...
The atmosphere in the research team’s conference room was heavy, as still and tense as the calm before a storm.
Everett stood in front of the projection screen, behind which a three-dimensional model of the underground nest slowly rotated. Jerr...
--- 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 Atomic Decomposition Hypothesis of Basic Functions and Mathematical Structures: A Unified Perspective from Prime Numbers to Functional Analysis
Author: Zhang Suhang Affiliation: Independent Researcher, Luoyang
Abstract
Starting from ...
Multi-Origin High-Dimensional Geometric Unified Framework Dynamics · Information Theory · Neural Networks I. Foundation: Multi-Origin + Curvature Space + High-Dimensional Projection - Each node (particle, information source, neuron) is a...
The Significance of Probability Theory in Multi-Origin High-Dimensional GeometryIn classical probability theory and single-origin Euclidean geometry, probability is merely a measure of the frequency of events. The sample space is attached to a sin...
Using “recursive assembly of continued‑fraction fractals” to generate and understand the distribution of prime numbers. · Regular integer blocks, recursively assembled· Reciprocal iteration corresponds to scale transformation· The entire structur...
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...
--- Title: From MOC Geometric Constraints to the Three Major Statistical Distributions: A Combinatorial Topological Derivation Author: Zhang Suhang (Bosley Zhang)Correspondence: zhang34269@zohomail.cnCore Theories: MOC (Multi-Origin Curvature), ...
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...
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...
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 ...
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...
Imaginary numbers represent direction. Rotation changes direction. Translation changes position. Ellipses and hyperbolas differ only in real versus imaginary directions. They are fundamentally unified. People have long treated the ellipse,...
The Core Logic of the Universe’s Eternal Motion Ultimate Minimal Axiom Force arises from potential difference.Parity is intrinsically broken.Potential difference never vanishes.Therefore, the world moves eternally. --- Layered Philosophical Ex...
In contemporary biological breeding, species propagation, and ecological germplasm cultivation, a one-sided and deeply entrenched consensus has long been solidified: hybridization equals advantage, crossbreeding equals improvement, and inter-varie...
Liu E’zi always went to the town market only on the fifth and tenth days of each lunar month. On...
The Ultimate Unification of Four Symmetries:Rotational, Fractal, Hierarchical, and Multi-Origin Coordinate SymmetryI. Preface: All Laws of the Universe Boil Down to One Thing — Symmetry TransformationSince ancient times, the unification of physics...
The elementary‑wave combination principles and consciousness encoding structure revealed by this theory can be directly integrated with brain‑computer interface (BCI) technology. By acquiring brain signals via EEG devices and performing Fourier de...
Unraveling the Mysteries of Dark Matter and Dark Energy Electromagnetic property serves as a critical marker of a substance’s energy level, as well as the core criterion determining whether matter can be observed, interact with other objects, ...
Other Methods of Converting Energy into MassIn addition to the Higgs field endowing elementary particles with mass, the universe contains multiple mechanisms for generating mass through energy conversion. Together, these processes produce the vast...
