--- 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...
Imaginary numbers represent direction. Rotation changes direction. Translation changes position. Ellipses and hyperbolas differ only in real versus imaginary directions. They are fundamentally unified. People have long treated the ellipse,...
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...
Higher-degree equations are shaped by curves swaying back and forth.Sway more intensely, and you get surfaces.Sway even more wildly, and you get solids.Orderly swaying creates geometric symmetry and is solvable.Chaotic swaying produces bizarre, ir...
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...
--- 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...
Structure of My Geometry Author: Suhang ZhangLuoyang1. The overall barycenter of the Milky Way → First Origin, First Hierarchy2. The Sun (local barycenter within the Milky Way) → Second Origin, Second Hierarchy3. The Earth (local barycenter wit...
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...
Relativity and quantum mechanics each have their own domains of application.In my view, relativity is better suited to explaining the behavior of macroscopic objects and celestial bodies, while quantum mechanics is more appropriate for describing ...
A Physical Solution to the Plateau Problem Under the Same Paradigm Author: Suhang ZhangLuoyang Abstract (brief)
By treating the surface area as a potential energy functional and applying the minimum energy principle, we show that the solu...
Elliptic Function Interpretation of the Four Fundamental Forces1. General PrincipleMathematically: Trigonometric functions are only a degenerate special case of elliptic functions; elliptic functions are the general mother structure.Physically: Th...
Why Does the Earth Rotate?
After physics class in high school, I asked my teacher, “Why does the Earth rotate?”
My teacher said, “Newton didn’t know either, so he simply said God gave the Earth a kick, and that’s why it spins.”
But the ...
We often think that mass is an innate property of objects. A stone, a speck of dust—they all seem to possess weight and substantial existence by birth. But looking into the vast universe and tracing back to the very origin, mass is not inherent at...
Other Methods of Converting Energy into MassIn addition to the Higgs field endowing elementary particles with mass, the universe contains multiple mechanisms for generating mass through energy conversion. Together, these processes produce the vast...
"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...
"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...
The Planckian Homunculus – A Different Kind of Observation If we could shrink ourselves down to the Planck scale – that extreme microscopic world where space is as small as 10^{-35} meters and time as short as 10^{-43} seconds – and become, so to...
A Physical Intuition Framework: Geometric Fundamentals Governing Quantum Phenomena This text does not seek to replace or negate the computational systems and experimental findings of established quantum mechanics, nor does it claim to have ach...
Additive Superposition vs. Multiplicative Coupling: A Mathematical Intuition of the Discrete and the Continuous and Its Natural Corroborations Zhang Suhang(Luoyang, Independent Researcher) Abstract: As the most fundamental algebraic operations, ...
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...
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...
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...
Origins: Sun O_\odot, Earth O_\oplus, Mars , Sun–Mars Lagrange points O_{L1/L2}, …- Lattice points: Earth-orbiting satellites, Mars orbiters, relay satellites, deep-space probes- Curvature coupling coefficient \Omega_i:For each link, accumulate th...
The Topological Essence and Engineering Substance of Dimensional Upgrading: From 2D to 3D Flow Expansion, Point Set Stereoscopy, and the Axiom of Maximum Information Efficiency Author: Zhang Suhang Core Axiomatic Support: Multi-Origin Curvature ...
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Title: MOC Curvature and Degeneracy of State Space: From Curvature to Combinatorial Counting
Author: Zhang Suhang (Bosley Zhang) Correspondence: zhang34269@zohomail.cn Core Theories: MOC (Multi-Origin Curvature), MIE (Maximum Informati...
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...
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...
Construction and Physical Implications of Symmetric Multi-Origin Curvature (SMOC) Geometry **Author:** Zhang Suhang *Independent Researcher* **Abstract:** Based on the Multi-Origin Curvature (MOC) spacetime framework, this paper constructs the...
