After the Chernobyl nuclear disaster, Belarus lost one‑fifth of its agricultural land. A hundred...
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...
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 ...
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...
--- 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...
--- 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 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 ...
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 ...
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...
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 = ...
There are three pieces of evidence to prove my viewpoint.1. The bending of electric arcs proves that electric charge can locally curve spacetime, and electric current moves along geodesics.2. Ball lightning proves that electric charge can curve sp...
2. Change Formula\dot\kappa_I = \mathcal F_I(\dots)One sentence:How things change, move, and are acted upon by forces is entirely determined by their interactions.- Universal Gravitation Formula- Coulomb's Law- Ohm's Law I=U/R- Kinematic equations...
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,...
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...
Unification of Curvature and Angular Momentum – A Reconstruction of the Geometric Origin of Physical Motion in the Multi‑Origin Geometry (MOC) Framework
I. Core Thesis: The Two Are One – Differing Only by Scale Normalization, with No Essential ...
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...
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 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...
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...
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...
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 there ...
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 fra...
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...
Spin angular velocity ∝ spacetime curvature gradient.The above is a possible mathematical formula. Due to my personal limitations, I am unable to calculate the value of k.
--- 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...
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...
