Paper 2-3: Periodic Micro-element Channel: Operator Implementation of Helical Curves and Helical Surfaces Author: Suhang Zhang (Heluo Mathematical School) Abstract Helical structures are among the most ubiquitous periodic forms in n...
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The Origin of π in Spacetime Geometry within the DOG Discrete Order Geometry Framework
Author: Zhang Suhang Address: Luoyang, Henan
Abstract
Since ancient times, humanity has understood the circumference ratio π only throug...
--- 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...
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 ...
Lunar Colony Base Functional Design Based on 2D-to-3D Elevation Theory: Flow Expansion, Point-Set Stereoscoping, and the Maximum Information Efficiency Axiom
Associated Preprints: The Axiomatic Structure and Closure of Geometric Field Theory (v...
"Heuristic Association Between Euler’s Polyhedron Formula and the Golden Ratio Under the Maximum Information Efficiency Axiom" Author: Zhang Suhang, Luoyang Core Axiom: Maximum Information Efficiency (MIE) Axiom --- Abstract Based on the Ma...
A Physical Intuition Framework: Geometric Fundamentals Governing Quantum Phenomena This text does not seek to replace or negate the computational systems and experimental findings of established quantum mechanics, nor does it claim to have ach...
I. Difference Is Potential, Which Is EnergyAt the fundamental structure of the physical world, difference itself corresponds to a potential field, and potential field is directly equivalent to energy. This relation should not be regarded as a man-...
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 ...
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...
Here is the English translation of your third paper: Author: Zhang Suhang, Luoyang Second Paper (corresponding to 3.2): Statistical Exclusion – Handling of the Law of Large Numbers and Parity Correlations Axiomatic Reconstruction of the Collatz...
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...
Introduction: Why Characters Matter in Every Story In every great story, characters play the most important role. A strong plot may attract readers, but it is the characters that make them stay. Readers remember how characters made them feel, how...
Derivation of the Law of Large Numbers Under the Principle of Maximum Information Efficiency ——Proof of a Special Subclass Within the MOC Framework Author: Zhang Suhang, Luoyang Core Theoretical System: MOC (Multi-Origin High-Dimension...
--- The Unified Origin of Celestial Motion – Both Revolution and Rotation Are Inevitable Consequences of Curvature Vector Conservation Author: Zhang Suhang, Luoyang Abstract: Based on the MOC curvature vector conservation and ECS coupling balan...
Wireless Power Transmission: Perhaps the True Future of MOSTraditional power grids are wired, fixed-point, and unidirectional by nature. In essence, they force energy into one-dimensional transmission lines, resulting in high energy loss, vulnerab...
The Primal Source of the Three Noether SymmetriesUnder the MOC (Multi-Origin Curvature) Framework...
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...
Multi-origin high-dimensional geometry is almost a coordinate description framework tailor-made for robotics (especially serial manipulators and mobile robots). In simple terms: a robot is a mobile, nestable "multi-origin system". 1. The esse...
Mass, Charge and Color Charge as Progressive Manifestations of EnergyMass, charge and color charge are not mutually independent intrinsic properties of matter. Instead, they are external manifestations and progressive forms of energy emerging at d...
Supplemental Paper S‑05: Unification of Factorial System via Three-Channel Π Operators: Operator Formalization of Combinatorics, Factorials and the Gamma Function Author: Suhang Zhang Abstract Factorials, combinatorial counting and th...
TitleBrachistochrone Problem: A Historical Prelude to the Maximum Information Efficiency PrincipleAuthor: Suhang Zhang, LuoyangAbstractThe brachistochrone problem (1696) is widely recognized as the origin of the calculus of variations, whose solut...
Wavelet Transform = Projection of MOC under Scale Shrinkage + Local Origin Keep the same style as before, while marking heuristic steps. --- 1. Intuitive Correspondence · Fourier: single origin + no scale + flat space· Wavelet: single origin...
--- Part Two A Rigorous Global Proof of the Kakeya Conjecture via DOG-MOC Author: Zhang Suhang (Bosley Zhang) Location: Luoyang, Henan, China Date: May 2026 Abstract This paper, based on the self-developed Discrete Order Geometry (DOG) cov...
Theoretical Division and Complementary Relationship between MOC and MIEAuthor: Suhang Zhang, LuoyangWithin the present theoretical framework, Multi-Origin Curvature (MOC) and Maximum Information Efficiency (MIE) constitute two axiomatic systems wi...
A Physical Solution to the Plateau Problem Under the Same Paradigm Author: Suhang ZhangLuoyang Abstract (brief)
By treating the surface area as a potential energy functional and applying the minimum energy principle, we show that the solu...
Multi-Origin Curvature (MOC): A Geometric Interpretation of Mass Transfer and Thermo-Hydrodynamic Coupling in Packed Towers — Three Longstanding Engineering Pain Points Abstract The mass transfer and reaction thermal effects in packed tow...
Application of MOC Multi-Origin High-Dimensional Geometry in Thermal Infrared Imaging Abstract: Aiming at the common engineering problems in current thermal infrared imaging, such as multi-source thermal interference, atmospheric and optical t...
The Ultimate Position of Functional Analysis in MOC Traditional Functional Analysis: Function → Infinite-dimensional vector space → Operator → Norm → Weak convergence → Hilbert space Everything is built upon: a single origin, a global linear ...
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...
