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
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Abstract
The origin of probability is...
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...
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-...
I believe magnetic monopoles do not exist. The reasoning is as follows:
Maxwell's equations in vacuum indeed possess an electric–magnetic dual symmetry (E → B, B → –E). However, once electric charges are introduced as sources, this symmetry is ...
Mass, Charge and Color Charge as Progressive Manifestations of EnergyMass, charge and color charge are not mutually independent intrinsic properties of matter. Instead, they are external manifestations and progressive forms of energy emerging at d...
Unification of the Four Fundamental Forces Gauge fields have unified the weak force, strong force, and electromagnetic force. However, they have not unified gravity and electromagnetic force. I have unified gravity and electromagnetism using...
The chaos of romantic entanglements had left Wei Ling weary. Love and marriage should have been a...
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...
Paper 13: The Trinity of Frequency, Probability, and Geometric Measure — From Discrete Order Geometry to Étale Schemes
Author: Zhang Suhang Affiliation: Luoyang, Henan
This paper achieves a seamless connection between ...
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...
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...
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...
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...
Since the beginning of systematic observations of natural motions, “force” has always been the core concept used to explain all changes in the world. From the movement of celestial bodies to the falling of objects, from electromagnetic induction t...
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 ...
My view is different.Rotation of the bucket creates a centrifugal force directed outward from the center.Rotation of the Earth produces a centrifugal force acting upward from the ground.The superposition of these two effects produces the phenomeno...
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...
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 ...
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...
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...
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...
--- 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...
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 ...
Weak Convergence and Ergodic Limit of Stochastic ECS Systems Author: Zhang Suhang Luoyang, Independent Researcher Abstract This paper extends the Extremum-Conservation-Symmetry (ECS) framework to discrete stochastic linear dynamical s...
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 ...
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...
Conservation Laws Corresponding to the Four Fundamental Forces1. Strong Interaction- Corresponding conservation laws:- Color charge conservation- Baryon number conservation- Isospin conservation (under high-energy approximations)- Conservation of ...
Paper 2-2: Dual Rotation Structure: Π Transformation Rules for TorusAuthor: Suhang Zhang （Luoyang School of Mathematics） AbstractA torus is a 3D solid formed by rotating a circle (generatrix circle) of radius a around a coplanar non-intersecti...
Complete Derivation of the Unified Recursive Field Equation (URFE) Author: Zhang Suhang
1. Core Prerequisite Theories
Foundation: MOC Multi-Origin Geometry, DOG Discrete Order Geometry, GPCL Geometric Recursive Conservation Chain, Unifie...
Theoretical Calculation of Mercury’s Perihelion Precession under the Multi-Origin Curvature (MOC) Framework Author: Zhang Suhang (Luoyang, Henan)Affiliation: Independent Researcher Abstract: Based on the Multi-Origin Curvature (MOC) theory, this...