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--- 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...
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 ...
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...
Author: Zhang Suhang, Luoyang Part I (Corresponding to 3.1): Axiomatic Constraint – Maximum Information Efficiency (MIE) in the Collatz System Axiomatic Reconstruction of the Collatz Conjecture (I): The Maximum Information Efficiency Axiom as...
Methodological Reflections on the Study of the Collatz Conjecture: From Case Entanglement to Axiomatic Constraints Author: Zhang Suhang, Luoyang Abstract The Collatz conjecture, a classic open problem at the intersection of number theory and dy...
"The Golden Ratio, Fibonacci Numbers, and Euler’s Polyhedron Formula Under the Maximum Information Efficiency Axiom: Hierarchy, Association, and a Unified Perspective" Author: Zhang Suhang, Luoyang Core Axiom: Maximum Information Efficiency (M...
"Heuristic Association Between Euler’s Polyhedron Formula and the Golden Ratio Under the Maximum Information Efficiency Axiom" Author: Zhang Suhang, Luoyang Core Axiom: Maximum Information Efficiency (MIE) Axiom --- Abstract Based on the Ma...