Paradigm Integration of Topology and Fiber Bundle Theory from a High-Dimensional Multi‑Origin Perspective
Abstract Based on the core paradigm of the MOC (Multi‑Origin Coordinates) high‑dimensional framework, this paper focuses solely on cla...
--- Reconstructed Axioms of Set Theory under the MOC Multi-Origin High-Dimensional Framework Within the MOC multi-origin high-dimensional framework, we first establish the top-level paradigmatic axiomatic outline of set theory. The following fiv...
Reinterpretation of Set Theory within the MOC (Multi-Origin Coordinates) High-Dimensional Framework
I. Core Stance
Classical set theory is single-origin, single-universe, and static in its hierarchy. Under MOC, set theory becomes multi-orig...
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...
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...
Variational Origins of Statistical Regularities: A Unified Framework from the Maximum Information Efficiency PrincipleAuthor: Zhang Suhang, LuoyangIndependent Researcher in Mathematics and Theoretical PhysicsAbstractClassical probability and stati...
Discrete Numerical Verification and Symmetry Group Case Studies for Extremal–Conservation–Symmetry Systems
Author: Zhang Suhang Affiliation: Luoyang, Independent Researcher
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Abstract
Within the framework of Extremal–Conservation–Sy...
Discrete Numerical Verification and Symmetry Group Case Study of Extremum-Conservation-Symmetry Systems
This paper conducts dedicated numerical verification and c...
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...
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...
Convergence of the Solution of the Discrete Riccati Equation with Respect to the Sampling Period
Author: Zhang Suhang, Luoyang
This paper gives a self-contained proof that the solution P_h of the discrete algebraic Riccati equati...
The Unified Origin of Celestial Motion — Both Revolution and Rotation Are Inevitable Consequences of Curvature Vector Conservation Author: Zhang Suhang, Luoyang Abstract: Building upon the axiomatic system of MOC curvature vector conservation an...
Multi-Origin Curvature (MOC) Framework: Basic Definitions and Geometric Conservation Law
This paper establishes the basic geometric definitions of the Multi-Origin Curvature (MOC) framework. Three co...
--- 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...
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...
--- 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...
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...
--- 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...
--- Multi-Origin Curvature (MOC) and Maximum Information Efficiency (MIE) Framework for the Unified Theory of the Three Major Statistical Distributions in Classical and Quantum Physics —Including a Complete Proof and Geometric Realization of the...
Title: MOC Curvature and Degeneracy of State Space: From Curvature to Combinatorial Counting
Author: Zhang Suhang (Bosley Zhang)
Core Theories: MOC (Multi-Origin Curvature), MIE (Maximum Information Efficiency)
T...
Title: Explicit Definition and Statistical Derivation of the MOC Geometric Constraint Term \mathcal{C}_{\text{MOC}}
Author: Zhang Suhang (Bosley Zhang) Correspondence: zhang34269@zohomail.cn Core Theories: MOC (Multi-Origin Curvature),...
--- Title: From MOC Geometric Constraints to the Three Major Statistical Distributions: A Combinatorial Topological Derivation Author: Zhang Suhang (Bosley Zhang)Correspondence: zhang34269@zohomail.cnCore Theories: MOC (Multi-Origin Curvature), ...
Title: Unification of Classical and Quantum Three Major Statistical Distributions Under the Framework of Multi-Origin Curvature and Maximum Information Efficiency
Authors: Zhang Suhang (Bosley Zhang, ) Independent Researcher in Theoretical an...
--- 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 ...
Axiomatic Proof of the Goldbach Conjecture: Based on the ECS Framework (Extremum-Conservation-Symmetry)
Author: Zhang Suhang (Luoyang)
Abstract: The Goldbach Conjecture asserts that every even integer not less than 4 can be expressed as th...
A Proof of the Collatz Conjecture within the ECS Framework: Based on Extremum-Conservation-Symmetry Axioms Author: Zhang Suhang (Luoyang) Abstract: The Collatz conjecture is a classic unsolved problem in the field of discrete dynamical systems, ...
Title: Research on Extremum-Conservation-Symmetry (ECS) Discrete System Modeling and Laws of Large Numbers Author: Zhang Suhang (Luoyang) Abstract: This paper conducts systematic theoretical research on Extremum-Conservation-Symmetry (ECS) discr...