Papers 1-2: Curl-Preserving Axiom and System Self-Consistency Verification
Author: Zhang Suhang Founder of the Luoyang School of Mathematics
Abstract
As the second paper in the Π-operator series, this work aims to establish and verify ...
Algebraic Isomorphism Between Zhang Group and Continuous Lie Groups Under the Triple Limit Author: Suhang Zhang (Luoyang, Henan, China) Abstract Within the frameworks of Discrete Order Geometry (DOG) and Multi-Origin Recursive Geometry...
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...
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 ...
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 First Love --- Some social news left Wei Ling with a tangled mess of feelings. He couldn't...
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...
Paper 2-3: Periodic Micro-element Channel: Operator Implementation of Helical Curves and Helical Surfaces
Author: Suhang Zhang （Luoyang School of Mathematics） Abstract
Helical structures are among the most ubiquitous periodic forms in n...
Paper 13: The Trinity of Frequency, Probability, and Geometric Measure — From Discrete Order Geometry to Étale Schemes
Author: Zhang Suhang Affiliation: Luoyang, Henan
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This paper achieves a seamless connection between ...
Analytical Solutions to Two Classical Challenging Problems in Statistical Physics within the Multi-Origin Curvature （MOC）and Maximum Information Efficiency （ MIE）Framework
Author: Zhang Suhang (Le Zhang, Bosley Zhang)
Independent Rese...
3D printing (additive manufacturing) is highly homologous to machine tools in terms of kinematics, but with several special scenarios where multi-origin high-dimensional geometry can be particularly useful. --- 1. The kinematic chain of 3D pri...
Proof of Existence and Uniqueness of Smooth Solutions to Navier-Stokes Equations within DOG/MOC/ECS/MIE Framework (Supplemented Revised Version) Author: Zhang Suhang Luoyang, Henan Abstract The global existence of smooth solutions...
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 ...
MOC Differential Geometry · Trinity of Applied Mathematics Analysis · Optimization · Learning — Three Scales of the Same Thing --- I. Traditional Perspective: Three Disciplines Separate, Each Fighting Alone In the traditional system of applied...
Liu Ezi struck it rich. “Struck it rich” might be an exaggeration, but for a rural woman who...
The Riemannian Geometry Corresponding to Coulomb Force When two opposite charges produce attraction, the spacetime curvature is positive, corresponding to a spherical spacetime in Riemannian geometry. When two like charges produce repulsion, th...
Wei Ling’s thought was: Instead of arguing online about whether amateur scientists have any...
Supplemental Paper S‑03: Global Generalization of the Π Operator within the Framework of DOG Discrete Order Geometry
Author: Suhang Zhang （Luoyang School of Mathematics）
The conventional Π operator system is constructed upon t...
--- Part II: Beyond the Flat Static Set View: Establishing a Hierarchically Nested Set System Author: Zhang Suhang, Luoyang, Henan Abstract Classical set theory, with its flat, single-layered, statically fixed conception of sets as its foundat...
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...
Construction and Physical Implications of Symmetric Multi-Origin Curvature (SMOC) Geometry **Author:** Zhang Suhang *Independent Researcher* **Abstract:** Based on the Multi-Origin Curvature (MOC) spacetime framework, this paper constructs the...
--- Unified Analytical Solution for Non‑equilibrium Steady State of a Two‑Level System Coupled to Two Heat Baths under the MOC–MIE Framework
Author: Zhang Suhang (Bosley Zhang) Independent Researcher in Mathematical Physics and Theoretical Ph...
Liu E’zi always went to the town market only on the fifth and tenth days of each lunar month. On...
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 ...
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...
Paper 10: The Weil Conjectures under UPGS — Étale Random Walks, Curvature Duality, and ECS Stability
Author: Zhang Suhang Affiliation: Luoyang, Henan Date: May 25, 2026
Within the UPGS (Étale Probability Schemes) fram...
Batch Incubation & Age-Staggered Development Protocol 1. Staged activation: Fertilized eggs are thawed and incubated in timed batches, with intervals of 1–3 years between groups, avoiding population and care overload. 2. Age-hierarchy ...
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 ...