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The Dual Constant Dynamic-Static Unification Principle in the DOG System
Author: Zhang Suhang Address: Luoyang, Henan
Abstract
Within the complete framework of DOG discrete order geometry, the universe's two most fundamenta...
The Origin of the Natural Constant e in Spacetime Geometry within the DOG Discrete Order Geometry Framework
The natural constant e is a fundamental constant underlying m...
The Origin of π in Spacetime Geometry within the DOG Discrete Order Geometry Framework
Since ancient times, humanity has understood the circumference ratio π only throug...
Title: Under the DOG Discrete Order Geometry Framework, the Yang–Mills Equation Is No Longer a Foundational Challenge but a Natural Emergent Result of Spacetime Steady States
Author: Zhang Suhang
Address: Luoyang, Henan, China
Abstract ...
--- Conclusion: Low-Energy Approximation in the DOG System Simultaneously Conforms to the MIE Extremum Criterion and the ECS Symmetric Equilibrium Steady State — A Triple Self-Consistent Closed Loop Author: Zhang Suhang, Luoyang, Henan --- I. ...
Conclusion: Low-Energy Approximation in the DOG System Strictly Conforms to the MIE Core Paradigm
Author: Zhang Suhang, Luoyang, Henan
I. Core Correspondence
1. Essence of MIE
MIE is the universal steady-state extremal ev...
--- Native Derivation of Yang-Mills Equations within the DOG Framework (Under the Unified Four-Force Paradigm) Author: Zhang SuhangAffiliation: Independent Researcher, Luoyang, Henan --- Abstract Traditional Yang-Mills theory is a field-theor...
DOG-FCE and MOC-UCE: Two Equivalent Physical Representations of the Same Unified Field Essence
Author: Zhang Suhang, Luoyang (Independent Researcher)
Within the axiomatic DOG-MOC grand unified system, there exist two co...
DOG Discrete Lattice Unified Four-Force System: Completeness Conclusion for Quantitative Computation
Author: Zhang Suhang, Luoyang
Core Conclusion
The unified four-force mathematical-physical system based on Discrete Order Geome...
DOG Discrete Order Geometry: A Minimal Mathematical Paradigm for Unifying the Four Fundamental Interactions
I. Fundamental Unified Substrate
Let the set of all discrete spacetime lattice points in t...
Unified Theory of the Four Fundamental Interactions under the Discrete Lattice Paradigm of the DOG Universe Author: Zhang Suhang, Luoyang, Henan --- Core Synopsis The entirety of spacetime is fundamentally a giant discrete DOG cosmic lattice. ...
Title: The Geometric Positioning of the Probability Formula P = 1/(1+(\Delta\nu)^2) in DOG Spacetime Author: Zhang Suhang Address: Luoyang, Henan --- Abstract Within the framework of Discrete Order Geometry (DOG), the observed probability ...
Frequency as the Origin of Probability: From Discrete Order Geometry (DOG) to a Quantitative Derivation Where Frequency Difference Determines Probability
The origin of probability is...
DOG Discrete Order Geometry and Hilbert Space: Bidirectional Isomorphism, Limit Correspondence, and Paradigm Bridging Theory
Traditional discrete combinatorial geometry and continuous functional a...
DOG Discrete Order Geometry: An Endogenous Unification of Hilbert Space and Probability System Author: Zhang Suhang Affiliation: Luoyang (Independent Researcher) Abstract Traditional modern mathematical physics suffers from three fundamenta...
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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)
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
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...