Laplace Transform = Projection of MOC under "Half-Line Manifold + Complex Wave Number + Single Origin"1. Intuitive Correspondence- Fourier Transform: Euclidean manifold \mathbb{R}, real wave number k → oscillatory kernel e^{-ikx}.- Laplace Transfo...
By the same logic, Coulomb attraction also traces out elliptical areas. Coulomb attraction (electrostatic attraction) is mathematically isomorphic to universal gravitation as an inverse‑square force:
F = k \frac{q_1 q_2}{r^2} \quad (\tex...
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...
Title: The Essential Solution to the Three-Body Problem – Higher-Dimensional Curvature Vector Conservation and Coupled Steady State Author: Zhang Suhang, Luoyang Abstract: Based on the MOC (Multi-Origin Curvature) axiomatic system, this paper pr...
Theory of Biomimetic Fractal Topological Coupling and Dimensional Gradient Transition Transmission I. Core Theoretical Essence This theory takes the natural fractal structures of tree roots and leaf veins as its fundamental logical origin. It br...
MOC Differential Geometry · Trinity of Applied Mathematics Analysis · Optimization · Learning — Three Scales of the Same Thing --- I. Traditional Perspective: Three Disciplines Separate, Each Fighting Alone In the traditional system of applied...
Liu E’zi always went to the town market only on the fifth and tenth days of each lunar month. On...
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, ...
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...
Derivation of the Central Limit Theorem Under the Principle of Maximum Information Efficiency——Proof of a Special Subclass Within the MOC FrameworkAuthor: Zhang Suhang, LuoyangCore Theoretical System:MOC (Multi-Origin High-Dimensional Geometry),MI...
"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...
Multi-Origin High-Dimensional Geometry and the Chip Revolution: From the Two-Dimensional Dead End to One-Stroke High-Dimensional ConnectivityAll core bottlenecks of modern chips—routing congestion, signal interference, heat concentration, timing d...
Relationship Between Curvature, Revolution and RotationSince real celestial bodies are not ideal rigid spheres, their mass distribution, tidal deformation, and fluid motions make the intrinsic relation between curvature and rotation difficult to v...
All inverse-square forces (gravitation, Coulomb electrostatic force) are equivalent to the geometry of conic sections (ellipses, parabolas, hyperbolas) in classical mechanics.
- Attraction ⇒ ellipse (or circle) - Repulsion ⇒ hyperbola - Bound...
People often regard space-time as an eternal container that exists before all things, as an inherent measuring scale. But in essence, space-time has never been an independent existence; rather, it is a relational product that relies on mass. With...
Dark Matter and Dark EnergyI. Dark MatterDark matter is a special form of matter that exists widely in the universe but cannot be directly observed. It is a key component of cosmic structure.Its most essential characteristic is that it has no elec...
--- Part One Title: The Geometric Foundation and Model Transformation of the Kakeya Conjecture via DOG-MOC
Author: Zhang Suhang (Bosley Zhang) Location: Luoyang, Henan, China Date: May 2026
Abstract
Under the framework of Multi-Origin...
--- Extended Discussion and Academic Boundaries of the MOC System Author: Zhang Suhang, Luoyang Abstract: This paper serves as a supplementary note to the first three papers of the MOC system. It accomplishes only two core tasks: first, it poin...
--- 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...
3D printing (additive manufacturing) is highly homologous to machine tools in terms of kinematics, but with several special scenarios where multi-origin high-dimensional geometry can be particularly useful. --- 1. The kinematic chain of 3D pri...
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...
Introduction Women’s health is a vital aspect of overall well-being, and having access to reliable and professional medical care is essential. From adolescence to motherhood and beyond, every stage of a woman’s life requires special...
Geometric Origin of the Weak Interaction: From Curvature-Frequency Transitions to a Unified FrameworkAuthor: Suhang ZhangLuoyang, ChinaAbstractBased on the author’s previously established MOC-MIE axiomatic system and the equivalence relation betwe...
Bionic Fractal Topology for Wireless Power Transfer: A Technical Scheme of Stereo-to-Stereo Coupling and Dimensionality-Reduced DistributionAbstractAiming at the problems of difficult coil alignment, narrow spatial coverage, and low efficiency of ...
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...
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-...
The Pacific Ocean is a gift from God. The circular motion of ocean currents, combined with the rotation of the Earth, produces two superimposed centrifugal effects. Together they create exactly the same phenomenon as Newton’s bucket experiment. ...
I have long held an intuition: Kepler’s Laws and the Principle of the Lever are subtly connected.Proposed by Archimedes, the Principle of the Lever centers on the equation:Force × Effort Arm = Resistance × Resistance Arm.At its core, it describes ...
Supplemental Paper S‑02: Definition of Generalized Π Operators under the MOC (Multi‑Origin Curvature Geometry) Framework Author: Suhang Zhang (Heluo School of Mathematics) Abstract The canonical three-channel Π operator system estab...
On the Central Position of Geometry in Mathematics
For a long time, many people merely regard mathematics as a tool for calculation and problem-solving, which greatly narrows its true meaning. Mathematics is essentially an organic and vibran...