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...

MOS (Multi-Origin High-Dimensional Geometry) Power Grid Design
— Reconstructing the Spatial Philosophy and Design Paradigm of Power Grids, Breaking Free from the Rigid Path of “High-Voltage Dependence”
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【Epigraph】This paper does not elaborat...

Mass Is Not Absolute: A Brief Reflection on Fields and Mass
 
For a long time, people have regarded mass as an innate, fixed property of matter, as if it could exist absolutely, independent of its surroundings. But with deeper understanding of t...

A Gentle Discussion on the Higgs Field and the Origin of Mass
 
In popular science, the way the Higgs boson gives elementary particles their mass is often compared to a celebrity moving slowly through a crowd of fans. This analogy is vivid and e...

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...

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 ...

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...

Axiom 1 (Tangential Convergence)Fluid tangential motion is necessarily smooth, stable, and convergent.Axiom 2 (Normal Boundedness)Although fluid normal disturbances are disorderly, their intensity remains finite and bounded at all times. Correspon...

The Unification of Geometry, Function, and Number Theory under the MOC Framework

In traditional mathematics, geometry, function, and number theory stand as separate branches, connected by the function as a mapping between geometric forms and ar...

On Innovation Capacity and the Ineliminability of Process
Some people imagine: using gene editing to create a child, then inputting Einstein’s consciousness into that child, and the child will become Einstein.
This fantasy overlooks a most funda...

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.
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Layered Philosophical Ex...

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...

MOC: A Unified Curvature Framework with Multiple Origins as a Generalization of Hilbert Space
 
Abstract
 
The Hilbert space has long served as the foundational mathematical structure for harmonic analysis, functional analysis, signal processi...

Gabor Transform = Projection of MOC under "Fixed Scale + Gaussian Window + Single Origin"
 
1. Intuitive Correspondence
 
- Fourier Transform: Global kernel e^{-i\omega t}, no localization.
- Gabor Transform: Fourier kernel with a Gaussian wi...

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...

Wavelet Transform = Projection of MOC under Scale Shrinkage + Local Origin
Keep the same style as before, while marking heuristic steps.
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1. Intuitive Correspondence
· Fourier: single origin + no scale + flat space· Wavelet: single origin...

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...

Prospects for the Application of MOC in Magnetic Resonance Imaging (MRI)Magnetic resonance imaging is essentially a high-dimensional system that acquires and reconstructs massive proton spin signals in an inhomogeneous magnetic field. Its core cha...

Origins: Sun O_\odot, Earth O_\oplus, Mars , Sun–Mars Lagrange points O_{L1/L2}, …- Lattice points: Earth-orbiting satellites, Mars orbiters, relay satellites, deep-space probes- Curvature coupling coefficient \Omega_i:For each link, accumulate th...

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...

Core Applications of MOC Multi-Origin High-Dimensional Geometry in Giant Satellite Constellation Networking
 
1. Pain Points and Root Causes
 
Low-Earth orbit (LEO) giant constellations (Starlink, China Starnet, etc.) face three rigid constrai...

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 ...

MOC Multi-Origin High-Dimensional Geometry: Permutation and Combination – Rigorous Definitions, Five Fundamental Axioms, Core Formula System
I. Core Rigorous Definitions (Pure Mathematics, No Embellishments)
Definition 1: Multi-Origin Reference ...

Geometry as Protocol: Multi-Origin High-Dimensional Geometry and Computer Networking
Computer networking, for all its apparent glory, has shown clear signs of fatigue.
TCP/IP has reigned for half a century. Routing protocols endlessly patch them...

MOC Differential Geometry · Trinity of Applied Mathematics
Analysis · Optimization · Learning — Three Scales of the Same Thing
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I. Traditional Perspective: Three Disciplines Separate, Each Fighting Alone
In the traditional system of applied...

MOC Differential Geometry (Multiple Origins with Higher Dimensions)
Axiom 1 — Hierarchical Multiple Origins Axiom
Space contains hierarchically nested origins, such as the Galactic origin, the Solar origin, and the Earth origin. Each origin is i...

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...

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...

Multi-Origin High-Dimensional Geometric Neural Networks
All current neural networks are fundamentally locked into two-dimensional planes, a single origin, and matrix tiling operations. No matter how large or deep the models become, they merely st...

Dynamics and Multi-Origin High-Dimensional Geometry
Classical dynamics, based on a single-origin flat coordinate system, describes motion with all forces, displacements, and rotations normalized to a single coordinate reference. Motion evolution ...