Wei Ling’s thought was: Instead of arguing online about whether amateur scientists have any...
The constant rush of travel left Wei Ling exhausted yet fulfilled. He had no desire to...
The chaos of romantic entanglements had left Wei Ling weary. Love and marriage should have been a...
It was rush hour on Subway Line 10. Wei Ling gripped the overhead handrail, his body swaying back...
Wei Ling set a small bunch of white chrysanthemums against the rail of Hongqiao Bridge. The river...
The First Love --- Some social news left Wei Ling with a tangled mess of feelings. He couldn't...
The wheels spun wildly! From Haicheng to Lincheng, westbound, day and night. Wind...
Somehow, Wei Ling had been staying home a lot lately. That night, he lay on the couch and...
Wei Ling sat cross-legged on the sofa, a bowl of instant noodles balanced on his knee. The cold...
Feminism had flourished for two hundred years. Women had fought for and won countless rights,...
The day Liu Ezi went to the school to see Teacher Zhang, she had discussed it with Yan...
Yan Gaoshan got hired by the factory in town. It was an agricultural machinery repair...
--- It was the kind of afternoon that made you feel sorry for yourself. The sun was brutal—hot...
Numerical Cases and Analysis of Two Basic Navier-Stokes Formulas Author: Zhang Suhang Version 1: Basic Paradigm (ECS + DOG + MlE) boldsymbol{U}^{n+1} =mathop{argmin}{boldsymbol{U}inmathcal{H}} mathcal{E}big(boldsymbol{U},nablaboldsymbol{U}big) ...
Hierarchical Classification, Applicability Boundaries, and Value Analysis of Three Types of Flow Control Formulas under the Navier-Stokes System Author: Zhang Suhang AbstractRegarding the four core equations derived from the Multi-Origin Coordin...
A Topological Extremum‑Seeking Solver for the NS Equations Based on the MOC‑DOG‑ECS‑MlE Framework 1 Introduction The Navier‑Stokes (NS) equations constitute the core governing system of viscous fluid dynamics. Conventional CFD solvers are ...
ECS: Toward a Unified Framework for Energy, Classical Mechanics, and Symplectic Geometry
Author: Zhang Suhang ( Luoyang School of Mathematics）
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Abstract
Through a complete set of derivations and newly established mechanical connecti...
Paper II: Rigorous Derivation of Symplectic Structure Breakdown (Proof of the Degeneration of the Symplectic Form boldsymbol{omega}) Author: Zhang Suhang (Luoyang School of Mathematics） Prerequisite KnowledgeFor a finite-dimensional Hamiltonian ...
Paper I：Rigorous Chain Mapping of Action–Potential Difference–Stability: The Local Reduction Essence of Symplectic Structure and Global Unification under ECS Author: Zhang Suhang (Heluo School of Mathematics) AbstractIn the classical mechanics s...
God makes all things with the greatest economy and efficiency. That is the essence of MlE. MlE provides mathematical support for Darwin's theory of evolution. Redundant structures that serve no purpose and consume resources t...
From Newton to Riemann, from fluxions to manifolds. Everything flows, nothing stands still. Is mathematics really so dull and boring? I don't think so!
Paper 2-1: Dual-Channel Transformation of the Π Operator for Cylindrical Bodies
Author: Zhang Suhang （Luoyang School of Mathematics） Abstract
A cylinder is the simplest non-spherical solid of revolution. Its formation intrinsically corre...
URFE Calculates the Hohmann Window
Author: Zhang Suhang
The following directly uses URFE → Newtonian gravity + Keplerian orbits to calculate, without extraneous detail, the launch time and orbital parameters for minimum fuel c...
URFE Calculates the Four Fundamental Forces
Based on the Unified Recursive Field Equation (URFE), this paper selects typical calculable scenarios, applies boundary conditions, performs quantitative simplif...
URFE Calculates Celestial Orbits
Combining the Unified Recursive Field Equation (URFE) with scenario-based calculations for different gravitational field strengths, and following the previously defined symb...
URFE Solves the Three-Body Problem Author: Zhang Suhang 1. First: What Makes the Classical "Three-Body Problem" Difficult Standard Conclusion (holds from 1880 to 2026): · No general elementary analytic solution: The positions cannot be express...
Derivation of the Four Fundamental Interactions from the Unified Recursive Field Equation (URFE)
Abstract: Based on the Unified Recursive Field Equation (URFE), parameter partitioning, group subspace projection, and b...
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...
--- Integrating All Physical Elements and Factors into the Geometric Recursive Conservation Chain（UGSL）: A Unified Logical Framework
I. General Outline: The Universal Conservation Rule for All Physical Elements
Core ...
Markov Theory as a Strict Special Case of the UPGS Universal Axiom System
This paper independently, purely, and rigorously demonstrates the axiomatic hierarchy and subordination relationship between the UP...