--- 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...
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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)
Abstract
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...
193 Cross-Disciplinary Unification via the Axiom of Maximum Information Efficiency: Murray's Law, Polyhedron Formula, and Fermat's Principle Author: Zhang Suhang, Luoyang Abstract: The Axiom of Maximum Information Efficiency (MIE), established...
192 Axiom of Maximum Information Efficiency (III): Extremal Criterion for Stability Author: Suhang Zhang Luoyang Abstract Stability is a core property of dynamical systems, determining whether a system can persist under perturbations....
Axiom of Maximum Information Efficiency (II): Derivation of Conservation Laws and Symmetries
Abstract: Noether's theorem reveals the one-to-one correspondence between continuous symmetries and conservation laws, forming a cornerstone of theoret...
Axiom of Maximum Information Efficiency (I): From the Principle of Least Action to MIEAuthor: Suhang ZhangLuoyangAbstractThe principle of least action serves as the unifying foundation of modern physics. However, it is generally accepted as a **pr...
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 ...
Fully Autonomous Unmanned Colonization Plan Presented to Elon Musk Author: Zhang Suhang
Judging only by engineering feasibility, system closure, mission reliability, and efficiency of civilizational deployment, this fully ...
The Optimal Solution for Interstellar Colonization: Nuclear Power + Interstellar Corridor + Human Cryopreservation + Fertilized Eggs + Artificial Womb Author: Zhang Suhang Under the realistic constraints of an unbreakable speed of light and th...
--- Interstellar Corridor (Part II): A Conceptual Framework for Low-Energy Interstellar Travel Driven by Natural Spacetime Curvature Gradients Author: Zhang Suhang Abstract Traditional concepts for interstellar travel primarily fall into two c...
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...
The Spacetime Geometry Hierarchy and Theoretical Boundary Analysis of Natural Gravitational Fields, Gravity Assists, and Artificial Warp Drives Author: Zhang Suhang, Luoyang Abstract General relativity reinterprets the essence of gravity as t...
Lunar Colony Base Functional Design Based on 2D-to-3D Elevation Theory: Flow Expansion, Point-Set Stereoscoping, and the Maximum Information Efficiency Axiom
Associated Preprints: The Axiomatic Structure and Closure of Geometric Field Theory (v...
Homologous Generation Theory of Mathematical Objects (GKT)
——A Meta-Theory on the Generative Structure of Mathematics
Author: Zhang Suhang Date: May 2026
This paper announces the birth of a new mathematical cognitive paradigm...
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 ...
Theoretical Division and Complementary Relationship between MOC and MIEAuthor: Suhang Zhang, LuoyangWithin the present theoretical framework, Multi-Origin Curvature (MOC) and Maximum Information Efficiency (MIE) constitute two axiomatic systems wi...
Fermat’s Principle: An Optical Precursor to the Axiom of Maximum Information EfficiencyAuthor: Suhang ZhangLuoyangAbstractFermat’s principle (1657) states that light propagates between two points along the path that minimizes the optical path (or ...
TitleBrachistochrone Problem: A Historical Prelude to the Maximum Information Efficiency PrincipleAuthor: Suhang Zhang, LuoyangAbstractThe brachistochrone problem (1696) is widely recognized as the origin of the calculus of variations, whose solut...
Unification Under the Maximum Information Efficiency Axiom: Homology Between Murray’s Law and Polyhedron LawAuthor: Suhang Zhang, LuoyangAbstractMurray’s law describes the cubic scaling relation of vessel diameters in biological branching networks...
Author: Zhang Suhang, Luoyang Third Paper (corresponding to 3.3): A Dynamic Model of Inevitable Convergence Axiomatic Reconstruction of the Collatz Conjecture (III): Comprehensive Proof of Convergence Necessity --- Abstract Based on the pre...
Here is the English translation of your third paper: Author: Zhang Suhang, Luoyang Second Paper (corresponding to 3.2): Statistical Exclusion – Handling of the Law of Large Numbers and Parity Correlations Axiomatic Reconstruction of the Collatz...