The Homologous Generation Theory of Mathematical Objects
Author: Zhang Suhang, Luoyang
Abstract
This paper proposes and systematically establishes the Homologous Generation Theory of Mathematical Objects, revealing the unified essence of ...
Numbers are dancing points.Functions are floating lines.Geometry is manifolds and fluids.
--- Unification of Laplace Potential Flow Equation and Navier-Stokes Equations under the MOC Multi-Origin High-Dimensional Geometric Framework Author: Zhang Suhang (Bosley Zhang) Affiliation: Independent Researcher Email: zhang34269@zohomail.c...
Two Conjectures, One Axiom
Collatz and Goldbach—one dynamic, one static; one iterates downward, one splits upward. On the surface, they seem unrelated, yet under the framework of the ECS Axiom, they share the same underlying logic:
Symmetry ...
Why can some physical laws be generalized to mathematics? Because both physics and mathematics are mappings of the objective world onto two different domains.
I even feel that physics is the transition of the objective world's mapping into math...
A Brief Analysis of the Unified Essence of Traditional Wavefunction Quantum Formalism and MOC Endogenous Frequency Author: Zhang Suhang (Bosley Zhang) Luoyang AbstractThis paper compares the ways frequency is intro...
--- Derivation of the Strong Interaction from the MOC Unified Curvature Equation（UCE） Author: Zhang Suhang (Bosley Zhang), Luoyang --- 1. Curvature Degrees of Freedom for the Strong Interaction The total curvature scalar K in MOC is decompose...
--- Clarification on the Relationship Between MIE and the Maximum Entropy Principle To avoid theoretical misunderstandings and academic ambiguity, this section specifically clarifies the intrinsic relationship between the Maximum Information Eff...
Interstellar Corridor (Part I): A Foundational Theory of Low-Energy Interstellar Travel Based on Natural Spacetime Curvature Gradients Author: Zhang Suhang, Luoyang Abstract Current interstellar travel theories face core dilemmas: extremely l...
Extremum-Conservation-Symmetry (ECS) Universal Unification TheoryStructure-Preserving Extension of Discrete Systems to Continuous Limits苏杭 Zhang, Bosley Zhang(Luoyang) AbstractThis paper rigorously addresses the limit transition problem from discr...
“Analysis of the Isomorphism between Coulomb Force and Universal Gravitation – Based on the MOC Unified Curvature Framework” by Zhang Suhang (Bosley Zhang). --- Analysis of the Isomorphism between Coulomb Force and Universal Gravitation – Based ...
Quantitative Orbital Calculation Capability of the MOC System: From Topological Criterion to Algebraic MappingAuthor: Zhang Suhang (Luoyang)AbstractBased on the axiomatic framework of the MOC system (curvature vector conservation + ECS coupling eq...
--- Derivation of the Weak Interaction from the MOC Unified Curvature Equation（UCE） Author: Zhang Suhang (Bosley Zhang), Luoyang --- 1. Basic Form of the MOC Unified Curvature Equation (UCE) The starting point of MOC is an action extremal pri...
Convergence of the Solution to the Discrete Riccati Equation with Respect to Sampling Period Author: Suhang Zhang Luoyang Abstract
This paper rigorously proves that as the sampling period h\to 0^+, the solution of the disc...
--- Geometric Reconstruction of the Nature of Spacetime under the MOC Framework: Curvature Configuration Theory Author: Zhang Suhang, Luoyang Abstract Classical physics regards spacetime as a background stage independent of matter, while relat...
Axioms and Definitions of the MOC Core — Paradigm Substitution of Classical Mechanical Quantities by Multi-Origin Vector Curvature Author: Zhang Suhang, LuoyangAbstractThis paper formally establishes the axiomatic foundation of the MOC (Multi-Or...
Convergence of Discrete Algebraic Riccati Equation and Uniform Estimation of Matrix Exponential Approximation Author: Suhang Zhang Luoyang Abstract This paper systematically studies two core problems in sample...
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...
Discrete Numerical Verification and Symmetry Group Case Study of Extremum-Conservation-Symmetry Systems
Author: Zhang Suhang Affiliation: Luoyang, Independent Researcher
This paper conducts dedicated numerical verification and c...
--- Extended Discussion and Academic Boundaries of the MOC System Author: Zhang Suhang, Luoyang Abstract: This paper serves as a supplementary note to the first three papers of the MOC system. It accomplishes only two core tasks: first, it poin...
--- The Unified Origin of Celestial Motion – Both Revolution and Rotation Are Inevitable Consequences of Curvature Vector Conservation Author: Zhang Suhang, Luoyang Abstract: Based on the MOC curvature vector conservation and ECS coupling balan...
Title: The Essential Solution to the Three-Body Problem – Higher-Dimensional Curvature Vector Conservation and Coupled Steady State Author: Zhang Suhang, Luoyang Abstract: Based on the MOC (Multi-Origin Curvature) axiomatic system, this paper pr...
Information Ecological Topology and the MIE Principle: A Reconstruction and Unification of the Foundations of Classical Statistics
Independent Researcher in Mathematics and Theoretical Physics
Core The...
Continuous Extension of the Multi-Origin Curvature Symmetry Group in ECS Theory
Author: Suhang Zhang Affiliation: Luoyang, Independent Private Researcher
This paper establishes the rigorous continuous extension of the dis...
Variational Derivation of Gaussian Distribution Under the Maximum Information Efficiency Principle——Proof of a Special Subclass Within the MOC (Multi-Origin High-Dimensional Geometry) FrameworkAuthor: Zhang Suhang, LuoyangCore Theoretical System:M...
Limit Argument for Conservation Law Preservation Author: Suhang Zhang Affiliation: Luoyang, Independent Private Researcher Abstract This paper investigates the preservation of conservation quantities for discrete dynamical systems in ...
Derivation of the Central Limit Theorem Under the Principle of Maximum Information Efficiency——Proof of a Special Subclass Within the MOC FrameworkAuthor: Zhang Suhang, LuoyangCore Theoretical System:MOC (Multi-Origin High-Dimensional Geometry),MI...
Derivation of the Law of Large Numbers Under the Principle of Maximum Information Efficiency ——Proof of a Special Subclass Within the MOC Framework Author: Zhang Suhang, Luoyang Core Theoretical System: MOC (Multi-Origin High-Dimension...
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...
Why Suiting Suddenly Feels Dangerous There's a weird moment in menswear right now where wearing an actual suit feels rebellious. For years, the message was: suits are corporate. Boring. For people stuck in jobs they hate. The real free people we...