--- Part IV: Discrete Origin and Continuous Limit: The Unified Resolution of Binary Forms in the New Set Theory Author: Zhang Suhang, Luoyang, Henan Abstract The binary fragmentation between discrete and continuous is one of the longest-standi...
Part One: Analogical Foundation in Number Theory —— The Fractal Generation Logic of Composite Numbers
Author: Zhang Suhang, Luoyang, Henan
Abstract Starting from the constructive processes of number theory and fractal geometry, this paper ...
Discrete Order Geometry (DOG) and Harmonic Analysis: A Unified Framework for Decomposition and Reconstruction of Smooth Fields
Author: Zhang Suhang Independent Researcher · Luoyang
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Abstract
This paper establishes a fundamental com...
The Sea of Paradigms: From Grothendieck to the Dissolution of Problems in a New Geometric Framework
Author: Zhang Suhang Address: Luoyang, Henan, China
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Grothendieck once likened his mathematical method to a "rising tide": n...
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...
A Minimalist Explanation of Celestial Rotation, Revolution, and Axial Obliquity under the Pure MOC Framework Author: Zhang Suhang (Luoyang, Henan)Affiliation: Independent Researcher Abstract: Relying solely on the core paradigm of Multi-Origin C...
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 ...
Electromagnetism is an important indicator of the energy level of matter, as well as the core criterion for matter’s observability, interactability and structurability. 2026.6 From Rigid Postulates to Dynamic Evolution: A Record of Thought Experi...
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...
The wheels spun wildly! From Haicheng to Lincheng, westbound, day and night. Wind...
Supplemental Paper S‑04: Probabilistic Π Operators and Dimensional Transformation Theory for Stochastic ProcessesAuthor: Suhang Zhang, Heluo School of MathematicsAbstractThe classical Π operator framework has been established with a dual contin...
Papers 1-2: Curl-Preserving Axiom and System Self-Consistency Verification
Author: Zhang Suhang Founder of the Luoyang School of Mathematics
As the second paper in the Π-operator series, this work aims to establish and verify ...
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...
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...
Numerical Validation of the Extremum-Conservation-Symmetry System and a Case Study on Symmetry Group Extension
Author: Suhang Zhang Affiliation: Luoyang, Independent Researcher
This paper systematically conducts numerical...
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...
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...
Quantum Entanglement: Several Misconceptions I. Entanglement has no infinite range — it all depends on whether you can withstand environmental interference In theoretical equations, the correlation of quantum entanglement indeed does not decay n...
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-...
Spin angular velocity ∝ spacetime curvature gradient.The above is a possible mathematical formula. Due to my personal limitations, I am unable to calculate the value of k.
The First Love --- Some social news left Wei Ling with a tangled mess of feelings. He couldn't...
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 ...
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...
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. --- Layered Philosophical Ex...
Textbooks state: conservation of energy, conservation of momentum, and conservation of angular momentum are equal in status.They arise from Noether’s theorem, corresponding respectively to the symmetries of time translation, space translation, and...
According to the Elementary-Wave Combinatorial Consciousness Theory, the conscious signals in the brain are composed of several independent elementary waves. Each elementary wave corresponds to a circular motion, and the complete EEG waveform can ...
The chaos of romantic entanglements had left Wei Ling weary. Love and marriage should have been a...
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...
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...
Instability and Divergence Principle of Deviated States
Author: Zhang Suhang (Independent Researcher, Luoyang)
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Ninth Paper
This...
