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This monograph is about Dr Yi Lin's new model, named the systemic yoyo. This model stands for a multi‐dimensional spin field, developed for each and every system, be it tangible or intangible. The main objective Lin wants to accomplish is to show that similar to the situation in modern science where Euclidean spaces play the fundamental role of playground and intuition for developing and establishing all concepts and theories, in systems science, as the second dimension of science as claimed by Klir (2001), this kind of abstract, multi‐dimensional spin field could be the playground and intuition for understanding systems and their behaviors. More importantly, Lin wants to prove that with the advantage of the added new dimension, the systems science (now with its established playground), our understandings in the first dimension, the classical science, can be greatly deepened.

To materialize this objective, Yi Lin first establishes his model from several different angles: theory of blown‐ups, mathematics, the problem of infinity, spinning currents, particle physics, astronomy, meteorology, and relevant social phenomena. Second, he shows how such an abstract model can be practically employed in areas of theory, engineering, and weather forecasting practices.

More specifically, in the preface, Dr Yi Lin describes how in history a scientific theory could have been long lasting, and how he had constantly criticized his own work for further improvement. This preface and the introduction chapter present the reader the whole story and background as for how his model originally came about. Here, among others, the keys are how one should understand infinity or irregularities in modern science from a new angle, and how systems' behaviors should be seen in terms of whole evolutions.

In Chapters 2 and 3, Lin presents the theoretical and empirical arguments for the existence of his systemic yoyo model, underlying each and every system. After showing the fact that blown‐ups are the weakest link between calculus‐based theories and the physical reality, he presents a simply mapping to bridge Euclidean space models with movements in curvature spaces. By using this mapping, the phenomena of irregularities or quantitative infinity is explained beautifully. By making use of the Bjerknes' Circulation Theorem (Hess, 1959), Lin establishes the fact that nonlinearity in Euclidean spaces represents eddy motions in curvature spaces. Therefore, he has the theoretical background to introduce the systemic yoyo model. The empirical justification of this model comes from a wide range of different disciplines. By pulling known data from particle physics, the earth's atmosphere, the Solar system, and space research, Lin conjectures the existence of a law of conservation of informational infrastructure. This proposed law indirectly suggests the presence of the systemic yoyo structure underlying different systems. From the area of human interactions, two interesting and easily repeatable experiments are described to support the physical existence of the systemic yoyo fields.

After the model is established on its solid foundation, Dr Lin applies this model as either a methodology, or a thinking logic, and a road map, to investigate many intriguing and/or extremely difficult problems open in modern science, economics, history, engineering, and the actual prediction of zero‐probability disastrous weather conditions. In particular, in Chapters 4‐8, Lin studies problems in Newtonian physics, Kepler's laws of planetary motions, the three‐body problem, and the concept of time. The appendix of Chapter 7 shows how the new concept of stirring energy and its conservation can be practically applied to design civil engineering projects for long‐term disaster preventation on existing works at minimal costs. In Chapters 9‐14, Lin uses the systemic yoyo model as his road map to resolve some very interesting problems in economics and corporate governance, leading to some very interesting conclusions. In Chapters 15 and 16, Lin focuses his attention on history of mathematics, while revealing the fact that the fourth crisis in the foundations of mathematics has been uncovered, at the same time the second and the third crises were not resolved as expected historically (Kline, 1972). This monograph concludes with Chapters 17 and 18, where it is shown that spinning fields, which have been traditionally ignored in the meteorological science, in the atmosphere can be and have been successfully employed to predict such disastrous weather conditions that have been extremely difficult to predict in our modern times.

That is, the composite of this monograph is analogous to that of Robinson's (1996) nonstandard analysis, written in the early 1960s. Whereas after establishing his fundamentals, Robinson shows how his theory of nonstandard analysis can be employed to explore topics in different branches of mathematics, Lin develops his systemic yoyo model and then attempts to show and is successful in showing how his model can be and have been applied to explore difficult problems or shed new lights on some of the age‐old problems in modern science and technology.

In short, 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, some of which have been unsettled, open, and bothering mankind for hundreds and even thousands of years. 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 modern science.

Hess
,
S.L.
(
1959
),
Introduction to Theoretical Meteorology
,
Holt, Rinehart and Winston
,
New York, NY
.
Kline
,
M.
(
1972
),
Mathematical Thought from Ancient to Modern Times
,
Oxford University Press
,
Oxford
.
Klir
,
G.
(
2001
),
Facets of Systems Science
,
Springer
,
New York, NY
.
Robinson
,
A.
(
1996
),
Non‐standard Analysis
,
Princeton University Press
,
Princeton, NJ
.

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References

Hess
,
S.L.
(
1959
),
Introduction to Theoretical Meteorology
,
Holt, Rinehart and Winston
,
New York, NY
.
Kline
,
M.
(
1972
),
Mathematical Thought from Ancient to Modern Times
,
Oxford University Press
,
Oxford
.
Klir
,
G.
(
2001
),
Facets of Systems Science
,
Springer
,
New York, NY
.
Robinson
,
A.
(
1996
),
Non‐standard Analysis
,
Princeton University Press
,
Princeton, NJ
.

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