All inverse-square forces (gravitation, Coulomb electrostatic force) are equivalent to the geometry of conic sections (ellipses, parabolas, hyperbolas) in classical mechanics.
- Attraction ⇒ ellipse (or circle) - Repulsion ⇒ hyperbola - Bound...
Differential Equations as the Continuum Limit of DOG Discrete Order
Author: Zhang Suhang Address: Luoyang, Henan
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Abstract
Differential equations are the mainstream mathematical tool for describing the evolution of continuous syste...
MOC Higher-Dimensional Complex Space Reconstruction and the Intrinsic Geometric Definition of the Critical Strip Author: Zhang Suhang (Bosley Zhang / Bi Sulin)Research Affiliation: Luoyang Independent ResearcherSystem Affiliation: MOC‑MIE‑ECS‑UCE...
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...
"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...
I. Difference Is Potential, Which Is EnergyAt the fundamental structure of the physical world, difference itself corresponds to a potential field, and potential field is directly equivalent to energy. This relation should not be regarded as a man-...
When the Earth warrior Felix jumps down from space, his body spins involuntarily because the spacetime near Earth is twisted by Earth’s rotation, and the human body rotates along with the distorted spacetime. Therefore, the rotation of celestial ...
Discrete Order Geometry (DOG) and Knot Topology: From Continued Fraction Recursion to Interdisciplinary Topological Applications
Knot topology has long been regarded as a branc...
The Origin of the Natural Constant e in Spacetime Geometry within the DOG Discrete Order Geometry Framework
The natural constant e is a fundamental constant underlying m...
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...
The Time Perspective of the Planck Tiny ManThe Planck Tiny Man is tiny not only in spatial scale but also in temporal scale, operating at 10⁻⁴³ seconds. At this scale, “quantum superposition” vanishes from its view: an electron does not pass throu...
Supplemental Paper S‑02: Definition of Generalized Π Operators under the MOC (Multi‑Origin Curvature Geometry) Framework
Author: Suhang Zhang
The canonical three-channel Π operator system established in the preceding 19 core m...
Supplemental Paper S‑01: From Linear Approximation to Higher‑Dimensional Tiling: Channel Unification and Dimensional Transition within Euler’s and Ramanujan’s Series under the Π Operator Framework
Author: Suhang Zhang (Luoyang School of Mathem...
The Sea of Paradigms: From Grothendieck to the Dissolution of Problems in a New Geometric Framework
Author: Zhang Suhang Address: Luoyang, Henan, China
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Grothendieck once likened his mathematical method to a "rising tide": n...
Discrete Numerical Verification and Symmetry Group Case Study of Extremum-Conservation-Symmetry Systems
Author: Zhang Suhang Affiliation: Luoyang, Independent Researcher
This paper conducts dedicated numerical verification and c...
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...
--- 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...
The Lower Half of Geometry – On the Number-Theoretic Foundation of Complex Structures
Riemann once said: All geometry is the local structure of a manifold. On this cornerstone, he unified the geometric world of the continuous, the smooth, and t...
--- Paper 1: The Fundamental Paradigm of Probability-Geometry Isomorphism: From Gaussian Distributions to General Measure Correspondences
Author: Zhang Suhang, Luoyang, Henan
The probability density function of the Gaussian dist...
Part One: Analogical Foundation in Number Theory —— The Fractal Generation Logic of Composite Numbers
Abstract Starting from the constructive processes of number theory and fractal geometry, this paper ...
--- Structural Defects of Single‑Origin Complex Analysis and a Proof of Incompatibility with the Riemann Hypothesis Author: Zhang Suhang (Bosley Zhang / Bi Sulin)Research Affiliation: Luoyang Independent ResearcherSystem Affiliation: MOC‑MIE‑ECS...
Theoretical Calculation of Mercury’s Perihelion Precession under the Multi-Origin Curvature (MOC) Framework Author: Zhang Suhang (Luoyang, Henan)Affiliation: Independent Researcher Abstract: Based on the Multi-Origin Curvature (MOC) theory, this...
Numerical Validation of the Extremum-Conservation-Symmetry System and a Case Study on Symmetry Group Extension
Author: Suhang Zhang Affiliation: Luoyang, Independent Researcher
This paper systematically conducts numerical...
--- Derivation of the Weak Interaction from the MOC Unified Curvature Equation（UCE） Author: Zhang Suhang (Bosley Zhang), Luoyang --- 1. Basic Form of the MOC Unified Curvature Equation (UCE) The starting point of MOC is an action extremal pri...
It was cool on the late summer night. Ning Xiaoshuai straightened the collar of his uniform,...
Spherical-Cap Derived Self-Similar Geometry (SCD-SG): A New Natural Finite-Level Spherical Composite Solid Geometry Author: Zhang Suhang, Luoyang, Henan Abstract Nature abounds with three-dimensional composite configurations featuri...
Paradigm Incorporation of the Hodge Conjecture – Natural Dissolution within the MOC‑DOG‑ECS Framework
The Hodge conjecture is one of the seven Millennium Prize Problems. Tradi...
ECS-Hodge Correspondence Categorical Equivalence Between Symmetric Conservation Modes and Hodge Classes Author: Suhang Zhang Address: Luoyang, Henan Abstract Hodge classes serve as core objects in algebraic geometry, defined as ra...
--- Native Derivation of Yang-Mills Equations within the DOG Framework (Under the Unified Four-Force Paradigm) Author: Zhang SuhangAffiliation: Independent Researcher, Luoyang, Henan --- Abstract Traditional Yang-Mills theory is a field-theor...
After the ecological backlash of chemical poisons and the hopeless dilemma of feral cat overpopulation, the Southern Continent’s research team finally reached a profound realization: to truly end the rat plague, they could no longer treat only the...