“Systemic Yoyos: Some Impacts of the Second Dimension”
by Yi Lin,
October, 2008
Auerbach
Pulbications, an imprint of Taylor and Francis
(for order information, click on the
title above)
Since early 1990s, systems research has been seen as the second dimension of science, as proposed by George Klir, complementing the classical science, as seen as the first dimension, in a completely different direction. However, in this second dimension, many concepts and results can be imagined vividly and derived rigorously without any common ground different of those used in the first dimension to show them visually. This deficit surely poses a great difficulty for systems research and applications. To meet this challenge of the second dimension, this book systematically presents a new systemic model, named yoyo, which can be employed as a systemic method to analyze problems as well as an intuition for systemic thinking. Its role in systems research is analogous to that of Cartesian coordinate system in modern science, since it provides a platform for conceptual manipulation in systems research and helps to establish classical models in order to resolve problems from the first dimension.
This
book consists of five parts and 18 chapters. The first part lays the
theoretical foundation for the yoyo model and the empirical justifications of
the model. The second part shows how to employ this model to address and
resolve some open problems in such hard sciences as Newtonian mechanics, planetary
motions, the three-body problem, etc. The third part presents applications of
this model in economics and finance. With this model established, such
difficult problem as when Becker’s Rotten Kid theorem (a Nobel Prize winning
result) holds true can be successfully addressed. In part four, the structure
of human thoughts and infinity problems in the system of modern mathematics are
considered, while showing the appearance of the fourth crisis of mathematics.
In part five, the concept of rolling currents is presented and employed to
practically predict weather changes, especially the arrival of disastrous weather conditions.
Each case study, presented in this part and successfully addressed in the book,
represents a difficult, unsettled problem in meteorology in particular, and
modern science in general.
Table
of Contents
Chapter 1: Introduction – The Yoyo Structure
2.1.
The Concept of Blown-Ups
2.2.
Mathematical Characteristics of Blown-Ups
2.3.
Mapping Properties of Blown-Ups & Quantitative Infinity ¥
2.4.
Spinning Currents: A Physical Characteristics of Blown-Ups
2.5.
Equal Quantitative Effects
2.6.
Properties of Blown-Ups
Appendix
to Chapter 2: Technical Details
Chapter 3: Conservation of Informational Infrastructure-Empirical Evidence
3.1. Introduction
3.2. Physical Essence of Dirac’s Large Number
Hypothesis
3.3. The Mystery of the Solar System’s Angular
Momentum
3.4. Measurement Analysis of Movements of the
Earth’s Atmosphere
3.5. The Law of Conservation of Informational
Infrastructure
3.6. Impacts of the Conservation Law of
Informational Infrastructure
3.7. Other Empirical Evidence
for Yoyo Structures
Part
Two: A Revisit to Newton’s Laws, Universal Gravitation, Three-Body Problem,
etc.
4.1.
The Second Stir and Newton’s First Law
4.2.
Eddy Effects and Newton’s Second Law
4.3.
Colliding Eddies and Newton’s Acting and Reacting Forces
4.4.
Equal Quantitative Effects and Figurative Analysis
4.5.
Whole Evolutions of Converging and Diverging Fluid Motions
Chapter 5: Kepler’s Laws of Planetary Motion
5.1. Newton’s Cannonball
5.2. Kepler’s Law of Harmonics and It Generalization
by Newton
5.3. The Universal Gravitation
Chapter 6: The Three-Body Problem
6.1.
The Problem and Some Current Results
6.2.
Three Visible Bodies and Existence of N-nary Star System
6.3.
Three Bodies with At Least One Invisible
7.1. Rotation and Stirring Energy
7.2.
Conservation of Stirring Energy and Three-Leveled Energy Transformation
7.3.
Energy Transformation Process and Non-Conservative Evolution of Stirring Energy
7.4. Governance Law of Slaving Energy of Newtonian
First Push
7.5. Interactions and Einstein’s Mass-Energy Formula
7.6. Solenoidal Fields and Problem on Universal
Gravitation
7.7. Conservation of Stirring Energy and Physical
Significance of Energy Transformation
7.8. Discussion
Appendix to Chapter 7: Evolution Engineering and
Technology for Long-term Disaster Reduction
Chapter 8: Time and Its Dimensionality
8.1.
The Problem to Be Addressed
8.2.
The Physics of Physical Quantities
8.3.
The Non-Quantification of events
8.3.1.
Problems on the Physics of Physical Quantities
8.3.2.
Non-Quantification of Events
8.4.
What Time Is
8.4.1.
The Problem of Time
8.4.2.
Time in China
8.4.3.
Time in the West
8.4.4.
What Time is
8.5.
Material and Quantitative Parametric Dimensions
8.6. Some Final Words
9.1. Whole Evolution
Analysis of Demand and Supply
9.2. The Yoyo Evolution of
An Economic Cycle
10.1.
Becker’s Rotten Kid Theorem
10.2.
Two Other Mysteries of the Family
10.3.
Never-Perfect Value Theorem and Parasites
Chapter 11: Child Labor and Its Efficiency
11.1. Child’s
Disutility of Work
11.2. Different
Efficiencies and Potentially Different Outcomes
11.3. Marginal Bans on
Child Labor
Chapter 12: Economic Eddies and Existence of Different Industry Sizes
12.1. Economic Yoyos and Their Flows
12.2. A Simple Model for Perfect Capital Markets
12.3. The Simple Model When Capital Markets are Imperfect
Chapter 13: A Fresh Look at Interindustry Wage Differentials
13.1. Financially Resourceful Companies
13.2. Companies with Limited Resources
13.3. Look back at Some of the Existing Literature
13.4. The Law of One Price
14.1.
The Yoyo Model Foundation for Empirical Discoveries
14.2.
CEO Choices of Projects
14.2.1.
Price Behavior of Different Investment Projects
14.2.2.
Dynamics of Projects
14.2.2.1. The Model
14.2.2.2.
The Analysis
14.2.2.3.
Power Struggle between the Board and the CEO
Part Four: Structure of Human Thoughts
& Infinity Problems in Modern Mathematics
Chapter 15: A Quick Glance at the History of Mathematics
15.1.
The Beginning
15.2.
First Crisis in the Foundations of Mathematics
15.3.
Second Crisis in the Foundations of Mathematics
15.4.
Third Crisis in the Foundations of Mathematics
16.1. The Concepts of Actual and Potential Infinities
16.2. Are Actual Infinities the Same as Potential
Infinities?
16.3. Do Infinite Sets Exist?
16.4. The Cauchy Theater Phenomena
16.5. The Return of the Berkeley Paradox
16.6. The Fourth Crisis in the Foundations of Mathematics
17.1. The Fundamentals
17.2. Roles of Rolling Currents and Ultra Low
Temperature in Weather Evolutions
17.3.
The Design of the V-3q
Graphs
Chapter 18: Case Studies Using V-3q Graphs
18.1.
Suddenly Appearing Severe Convective Weathers
18.1.1.
Background Information
18.1.2.
The Blown-Ups Principle
18.1.3.
Structural Analysis Method and the V-3q Graphs
18.1.4.
Structural Characteristics of Suddenly Appearing Convective Weathers
18.1.5.
Suddenly Appearing Weathers Over Major Metropolitans
18.1.6.
Regional Suddenly Appearing Extraordinarily Heavy Rain Gushes
18.1.7.
Discussion
18.2.
Small Regional, Short-Lived Fogs and Thunderstorms
18.2.1.
The Background Information
18.2.2.
Case Studies on Fogs
18.2.3.
Discussion
18.3.
Windstorms
and Sandstorms
18.3.1.
Background Information
18.3.2.
Practical Applications
18.3.3.
Discussion
18.4.
Abnormally High Temperature Weathers
18.4.1.
Background Information
18.4.2.
Low Altitude Arid Atmospheric Layer
18.4.3.
High Temperatures Under Cold High Pressures
18.4.4.
Some Final Words