1st Edition

Systemic Yoyos Some Impacts of the Second Dimension

By Yi Lin Copyright 2009
    410 Pages 94 B/W Illustrations
    by Auerbach Publications

    A Novel Method to Analyze Problems and Encourage Systemic Thinking
    Real-Life Case Studies Illustrate the Application of the Systemic Yoyo Model in Diverse Areas

    Written by the co-creator of the systemic yoyo model, Systemic Yoyos: Some Impacts of the Second Dimension shows how the yoyo model and its methodology can be employed to study many unsettled or extremely difficult problems in modern science and technology.

    The first part of the book presents the theoretical foundation of the yoyo model and its empirical justifications. The author then shows how to use the model to address and resolve several problems in scientific areas, such as Newtonian physics, planetary motions, and the three-body problem, as well as economics and finance, such as Becker’s rotten kid theorem. The following part discusses the structure of human thoughts, infinity problems in the system of modern mathematics, and the fourth crisis of mathematics. The book concludes with a section on the concept of rolling currents, which can help predict weather changes, especially the arrival of disastrous weather conditions.

    Focusing on complex, unresolved issues in modern science, this book thoroughly explains the novel yoyo model and how it can be used to better understand wage differentials, weather patterns, and more.

    Introduction: The Yoyo Structure

    Systems: A Historical Review

    Whole Evolution of Systems: Where Systemic Yoyo Is from

    Applications of the Systemic Yoyo Model

    Organization of This Book


    Blown-Ups, Eddy Motions, and Transitional Changes

    The Concept of Blown-Ups

    Mathematical Characteristics of Blown-Ups

    Mapping Properties of Blown-Ups and Quantitative Infinity

    Spinning Current: A Physical Characteristic of Blown-Ups

    Equal Quantitative Effects

    Various Properties of Blown-Ups

    Conservation of Informational Infrastructure: Empirical Evidence


    Physical Essence of Dirac’s Large Number Hypothesis

    The Mystery of the Solar System’s Angular Momentum

    Measurement Analysis of Movements of the Earth’s Atmosphere

    The Law of Conservation of Informational Infrastructure

    Impacts of the Conservation Law of Informational Infrastructure

    Other Empirical Evidence for Yoyo Structures


    Newton’s Laws of Motion

    The Second Stir and Newton’s First Law of Motion

    Eddy Effects and Newton’s Second Law

    Colliding Eddies and Newton’s Acting and Reacting Forces

    Equal Quantitative Effects and Figurative Analysis

    Whole Evolutions of Converging and Diverging Fluid Motions

    Kepler’s Laws of Planetary Motion

    Newton’s Cannonball

    Kepler’s Law of Harmonics and Its Generalization by Newton

    Universal Gravitation

    The Three-Body Problem

    The Problem and Some Current Results

    Three Visible Bodies and Existence of n-nary Star Systems

    Three Bodies with at Least One Invisible

    Open Questions

    Stirring Energy and Its Conservation

    Rotation and Stirring Energy

    Conservation of Stirring Energy and Three-Level Energy Transformation

    Energy Transformation Process and Nonconservative Evolution of Stirring Energy

    Governance Law of Slaving Energy of Newtonian First Push

    Interactions and Einstein’s Mass-Energy Formula

    Solenoidal Fields and Problem on Universal Gravitation

    Conservability of Stirring Energy and Physical Significance of Energy Transformation



    Time and Its Dimensionality

    The Problems to Be Addressed

    The Physics of Physical Quantities

    The Nonquantification of Events

    What Time Is

    Material and Quantitative Parametric Dimensions

    Some Final Words


    The Economic Yoyo

    Whole Evolution Analysis of Demand and Supply

    The Yoyo Evolution of an Economic Cycle

    The Happy Family

    Becker’s Rotten Kid Theorem

    Two Other Mysteries of the Family

    Never-Perfect Value Systems and Parasites

    Bergstrom’s Rotten Kid Theorem and the Samaritan’s Dilemma

    Maximization of Family Income and Child Labor

    Final Words

    Child Labor and Its Efficiency

    Child’s Disutility of Work

    Different Efficiencies and Potentially Different Outcomes

    Marginal Bans on Child Labor


    Economic Eddies and Existence of Different Industry Sizes

    Economic Yoyos and Their Flows

    A Simple Model for Perfect Capital Markets

    The Simple Model When Capital Markets Are Imperfect

    A Fresh Look at Interindustry Wage Differentials

    Financially Resourceful Companies

    Companies with Limited Resources

    Look Back at Some of the Existing Literature

    The Law of One Price

    Dynamics between Long-Term and Short-Term Projects

    The Yoyo Model Foundation for Empirical Discoveries

    CEO’s Choices of Projects



    A Quick Glance at the History of Mathematics

    The Beginning

    First Crisis in the Foundations of Mathematics

    Second Crisis in the Foundations of Mathematics

    Third Crisis in the Foundations of Mathematics

    Hidden Contradictions in the Modern System of Mathematics

    The Concepts of Actual and Potential Infinities

    Are Actual Infinities the Same as Potential Infinities?

    Do Infinite Sets Exist?

    The Cauchy Theater Phenomena

    The Return of the Berkeley Paradox

    The Fourth Crisis in the Foundations of Mathematics?


    V-30 Graphs: A Structural Prediction Method

    The Fundamentals

    Roles of Rolling Currents and Ultra-Low Temperature in Weather Evolution

    The Design of V-30 Graphs

    Case Studies Using V-30 Graphs

    Suddenly Appearing Severe Convective Weather

    Small, Regional, Short-Lived Fog and Thunderstorms

    Windstorms and Sandstorms

    Abnormally High Temperatures



    Yi Lin

    …each of the 18 chapters of this monograph establishes some brand new and important results along with its author's attempt to address important problems … This book is a must read for young scholars who are looking for new directions for their future careers. And, it can and should also be a magnificent read for seasoned scholars who want to rekindle their curiosity and peek into disciplines outside their domains which they did not have time or energy to care about for years. Other than what are obtained already, this monograph surely contains leads for future research in many scientific areas while providing a practically usable road map, thinking logic, and methodology that are different of those of modem science.

    —Diego Rapoport, Universidad Nacional de Quilmes, Bernal, Argentina, Kybernetes, June 2010