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（GKT） ——A Meta-Theory on the Genesis of Mathematical Structures Author: Zhang SuhangAffiliation: Heluo School of Mathematics Abstract This paper announces the birth of a new 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
Abstract
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...
Derivation of Euler’s Formula from the Maximum Information Efficiency (MIE) Axiom Prerequisites · Consider a connected planar graph (nodes and edges without crossings). It may be the edge graph of a convex polyhedron, a leaf vein network, an e...
Unified Theory of Two Classes of Self-Similar Fractals Based on Continued Fraction Recursive Isomorphism Author: Zhang Suhang --- Abstract Classical fractal geometry has long maintained a division between two classes of self-similar geometric ...
Geometric Origin of Weak Interactions: From Curvature Frequency Transitions to a Unified Framework Author: Zhang Suhang, Luoyang Abstract Based on the previously established MOC-MIE axiomatic system and the equivalence relation between...
Geometric Equivalence of Frequency Gradient and Force: Extension of the MOC-MIE Axiomatic System and Implications for Unification of Weak InteractionAuthor: Suhang ZhangLuoyangAbstractBased on the author’s previously established axiomatic system o...