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Discrete Order Geometry (DOG): A New View of Spacetime — Space as Matrix and Time as Fiber Bundle
Author: Zhang Suhang (Luoyang, Independent Researcher)
Abstract: Discrete Order Geometry (DOG) fundamentally reconstructs the picture of...
From the largest to the smallest — from celestial bodies down to particles — all things are discrete. Order, or law, connects all things. ———SuHang Zhang
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 ...
Discrete Order Geometry (DOG): Primitive Inclusion and Paradigm Incorporation of Fiber Bundle Theory – A Unified Geometric Architecture with Discrete Connection as the Primordial Source and Smooth Connection as the Continuous Special Case ...
The Combinatorial Axiom Foundation of Discrete Order Geometry (DOG) – Construction of a High-Order Arrangement and Combination System for Geometric Configurations
Classical geometry an...
The Underlying Disruptive Impact of the DOG Paradigm on Universal Modular Systems
Author: Zhang Suhang, Luoyang
Abstract: Discrete Order Geometry (DOG) completely rewrites the underlying logic of modularity, transitioning from the old...
Discrete Order Geometry (DOG) Framework for the Geometric Origin of Weak Interactions: From Discrete Chiral Lattice Points to the V–A Current Author: Zhang Suhang(Luoyang, Independent Researcher) Abstract: Based on the four‑dimensional discre...
Discrete Order Geometry (DOG) First‑Principles Derivation of the Dirac Equation: Spinor Order and Relativistic Discrete Evolution
Abstract – Based on the unified discrete evolution p...
First-Principles Derivation of the Schrödinger Equation via Discrete Order Geometry (DOG): From Discrete Recursion to Continuous Wave Mechanics Author: Zhang Suhang Independent Researcher, Luoyang Abstract Based on the matrix evolu...
Discrete Order Geometry (DOG) and Matrix Algebra: Essential Correspondence and Paradigm Reconstruction （ Part Two）
Author: Zhang Suhang Affiliation: Independent Researcher, Luoyang
Based on the axiomatic system of Discrete Or...
Discrete Order Geometry (DOG) and Matrix Algebra: Essential Correspondence and Paradigm Reconstruction （Part One）
Author: Zhang Suhang Affiliation: Luoyang
This paper systematically reveals the intrinsic isomorphic relationship...
Discrete Order Geometry (DOG) and Quantum Mechanics: Ontological Unification from Discrete Lattices to Quantum Representation
Since its inception, quantum mechanics has been regarded as ...
Discrete Order Geometry (DOG) and Classical Fractal Geometry: Paradigm Comparison and Pain Point Resolution
Author: Zhang Suhang Luoyang
Abstract: Classical fractal geometry, with its core assumptions of infinite self‑similarity and ...
--- A Complete Solution System for the Three‑Body Problem within the Framework of Discrete Order Geometry (DOG) Author: Zhang SuhangLuoyang Abstract: Under the classical Newtonian continuous geometry system, the three‑body problem has been defi...
Discrete Order Geometry (DOG) and Topology: A Preliminary Exploration of the Structured Description of Non‑Connected Spaces
The establishment of Discrete Order Geometry (DOG) removes spatial c...
--- Structural Shortcomings of Traditional Mathematical and Geometric Systems and the Systematic Complementation by the DOG Paradigm Author: Zhang SuhangLuoyang Abstract Modern mathematics, geometry, and celestial mechanics have, over centurie...
--- Discrete Order Geometry (DOG): A Study of Its Universal Application System Author: Zhang SuhangLuoyang Abstract After establishing the definition of Discrete Order Geometry and demonstrating its coupling with the discrete mathematics syste...
--- DOG Discrete Order Geometry and Its Coupling with Discrete Mathematics:Completing the Missing Discrete Spatial Geometric Foundation of Modern Mathematics Author: Zhang SuhangLuoyang Abstract Modern mathematics has long been divided into tw...
Discrete Order Geometry (DOG): A Geometric Paradigm Based on Fractal Nesting and Continued Fraction Scaling
Traditional geometric systems (Euclidean geometry, Riemannian geometry) and classical fract...
Global Data Verification of the System and Summary of Paradigm Applications Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical ParadigmSeries Number: Sixteenth Paper --- Abst...
Complete Exclusion of All Counterexample Paths at the Curvature Level Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical ParadigmSeries Number: Fifteenth Paper --- Abstract ...
The Complete Closed Proof of the Riemann Hypothesis (UCE Coordinated Version) Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical ParadigmSeries Number: Fourteenth Paper --- A...
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 ...
Direct Derivation of the Functional Equation from Curvature Dual Symmetry Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical ParadigmSeries Number: Twelfth Paper --- Abstract...
Proof that the Critical Line is the Principal Axis of Global Curvature Equilibration
Author: Zhang Suhang (Independent Researcher, Luoyang)
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Eleventh ...
Establishment of the Global Unified UCE Curvature Equation
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Tenth Paper
T...
Instability and Divergence Principle of Deviated States
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Ninth Paper
This...
Arithmetic Field Steady‑State Solution Determination Rules Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical ParadigmSeries Number: Eighth Paper --- Abstract This paper is ...
ECS Symmetry Conservation and the Principle of Least Action Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical ParadigmSeries Number: Seventh Paper --- Abstract As the openi...
Theorem of the Optimal Dynamic Path of Zero Motion Author: Zhang Suhang (Independent Researcher, Luoyang)System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical ParadigmSeries Number: Paper No. 6 --- Abstract Based on the previously ...