Liu E’zi always went to the town market only on the fifth and tenth days of each lunar month. On...
DOG Discrete Order Geometry: A Minimal Mathematical Paradigm for Unifying the Four Fundamental Interactions
Author: Zhang Suhang, Luoyang
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I. Fundamental Unified Substrate
Let the set of all discrete spacetime lattice points in th...
Discrete Order Geometry (DOG) Unifies Gauge Field Theory – A Unified Framework for Universal Field Theory Based on the Microscopic Discrete Primordial
Author: Zhang Suhang (Luoyang, Henan)
Abstract
Modern gauge field theory, built ...
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
Starting from ...
Derivation of Euler’s Formula from the Maximum Information Efficiency (MIE) Axiom Prerequisites · Consider a connected planar graph (nodes and edges without crossings). It may be the edge graph of a convex polyhedron, a leaf vein network, an e...
Geometric Origin of Weak Interactions: From Curvature Frequency Transitions to a Unified Framework Author: Zhang Suhang, Luoyang Abstract Based on the previously established MOC-MIE axiomatic system and the equivalence relation between...
1. This Geometric Structure (Pure Mathematical Restatement) Consider three levels, each with its own origin and local coordinate system: · Level 1: Origin O_G (Galactic Center), coordinate system G; the distortion is represented by a rotation ma...
Chapter 1：Geometric Origin of the Law of Excluded Middle The Emergent Essence of Classical Logical Laws under the MOC Framework
Author: Zhang Suhang (Luoyang, Henan, China)
Chapter 1 Introduction: The Sanctity and Fractures of the L...
DOG Primitive Theorem: Natural Emergence of Algebraic Cycles in Discrete Order Geometry
Author: Zhang Suhang Address: Luoyang, Henan
Algebraic cycles (algebraic subvarieties) are the central objects of the Hodge conjectur...
Frequency as the Origin of Probability: From Discrete Order Geometry (DOG) to a Quantitative Derivation Where Frequency Difference Determines Probability
Author: Zhang Suhang, Luoyang, Henan
The origin of probability is...
Complete Self‑Consistency of Spatial, Evolutionary, and Constraint Triple Curvatures Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical ParadigmSeries Number: Thirteenth Paper ...
Construction of the Evolutionary Manifold of the Zeta Function
Author: Zhang Suhang (Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical Paradigm Series Number: Paper No. 5
Abstract ...
192 Axiom of Maximum Information Efficiency (III): Extremal Criterion for Stability Author: Suhang Zhang Luoyang Abstract Stability is a core property of dynamical systems, determining whether a system can persist under perturbations....
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 ...
A Topological Extremum Solving Method for the Navier-Stokes Equations Based on the boldsymbol{Pi} Projection Operator and the MOC-DOG-ECS-MlE Framework
Author: Zhang Suhang
1. Introduction The Navier-Stokes (NS) equations serve as the cor...
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...
From the largest to the smallest — from celestial bodies down to particles — all things are discrete. Order, or law, connects all things. ———SuHang Zhang Within DOG, this connection is precisely encoded as a three‑...
A Quantitative Model for Axial Obliquity under the Pure MOC Framework
Author: Zhang Suhang (Luoyang, Henan) Affiliation: Independent Researcher
Based on the Multi-Origin Curvature (MOC) paradigm, this paper presents a com...
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...
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 ...
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 ...
We often think that mass is an innate property of objects. A stone, a speck of dust—they all seem to possess weight and substantial existence by birth. But looking into the vast universe and tracing back to the very origin, mass is not inherent at...
Elena stood behind the observation window, her fingertips pressed against the cold glass,...
Just as all fell into despair and nearly abandoned hope, a piece of transoceanic news caught everyone’s attention.
The story reported that countless landmines remained in post-war regions overseas. Manual removal was extremely dangerous and ine...
Markov Theory as a Strict Special Case of the UPGS Universal Axiom System
This paper independently, purely, and rigorously demonstrates the axiomatic hierarchy and subordination relationship between the UP...
Part Two: Axioms and Mathematical Formulas —— Formal Foundations of the Composite Number Construction System
Abstract Based on the analogical framework of “primes–composites” and “fractal pri...
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...
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...
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...
Why are gravitational force and Coulomb force so similar?
The first scientist to explore this phenomenon was the famous Michael Faraday, though he obtained no conclusive results.
Later, people explained this phenomenon with the following r...