Systemic yoyo model and applications in Newton's, Kepler's laws, and others

Emerald - Tập 36 Số 3/4 - Trang 484-516 - 2007
Yi Lin1
1Department of Mathematics, Slippery Rock University, Slippery Rock, Pennsylvania, USA

Tóm tắt

PurposeThis paper aims to show that systemic methods and thinking can be used to develop useful tools to address problems open in traditional science, such as Newtonian physics, universal gravitation, planetary motions, and the three‐body problem.Design/methodology/approachExpanded on the yoyo model introduced earlier for general systems, a new figurative analysis method is introduced in this paper.FindingsAfter establishing its theoretical and empirical foundations, this method is used to generalize Newton's laws of mechanics by addressing several unsettled problems in the history. Through the concept of equal quantitative effects, it is argued that this new method possesses some strength not found in pure quantitative methods. After studying the characteristics of whole evolutions of converging and diverging fluid motions, the concept of time is revisited using the new model. As further applications of the new method, one covers Kepler's laws of planetary motion, Newton's law of universal gravitation, and explains why planets travel along elliptical orbits, why no external forces are needed for systems to revolve about one another, and why binary star systems, tri‐nary star systems, and evenn‐nary star systems can exist, for any natural numbern≥2. By checking the study of the three‐body problem, a brand new method is provided to analyze the movement of three stars, visible or invisible. At the end, some open problems are cast for future research.Originality/valueThis paper shows for the first time in history that several well‐established laws in physics can be generalized using systemic thinking. Beyond that, an operative method of analysis is introduced to investigate problems that have been extremely difficult to handle in the scientific history. With adequate quantitative tools developed to accompany this method, it can be reasonably expected that an active systemic scientific era with a slightly different tilt from the contemporary science will follow shortly.

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Emerald

Tập 36 Số 3/4

484-516

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