Heaven, Earth, & Humankind: Three spheres, Three light Cycles, Three Modes

Heaven, Earth, & Humankind: Three spheres, Three light Cycles, Three Modes PDF

Author: William Wadsworth

Publisher: Xlibris Corporation

Published: 2015-04-23

Total Pages: 198

ISBN-13: 1503560988

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Heaven, Earth, and Humankind, Volumes I through IV was inspired by a dream in which I witnessed the collision of two worlds, one red and one green, the red cube was the dragon of Chinese Medical Philosophy, the green globe was the holistic cosmos that I already knew well through tropical astrology. The outcome of this dream was this book that integrates the two systems, and illuminates the core they share. Behind every aspect of human experience we find the influence of light and darkness both as a reality and metaphor. Three great cycles of light and darkness govern experience: the seasonal cycle, the waxing and waning of the moon, and the emergence and retreat of daylight. These three cycles connect directly to the triune principle in Chinese philosophy that differentiates three aspects of human endeavor: spirit, body, and social life. Heaven and earth seem to form a polarity. When they interact, they produce all the multifarious form of life near the surface of the earth. The whole ever remains a unity. Heaven floods the earth with both solar and celestial energy. The earth responds to that influx by producing living forms on its surface. The horizon line of the celestial chart symbolizes this plane where energy and matter interact. From this we can assess where a person’s focus is and how they balance the three different aspects of human experience. Human beings are thefinest expression of heaven and earth, if and only if we harmonize with the great cycles of light. In Volume IV I connect this core wisdom from Chinese sages with the astrological idea of the three modes of tropical astrology This volume continues the holistic and cyclic approach to astrology developed in the previous three volumes and culminates in a detailed description of the effect of the Sun, Moon, or Horizon in each zodiac sign. Each sign has a mode and the mode has affinity either with heaven and the sun, earth and the moon, or the ascendant and human affairs. The mutable signs are aligned with the sphere of the ecliptic and the mutable mode. Heaven, Earth, and Humankind maps a path to understanding why astrology works in terms that anyone can understand. The operative power of astrology is the three light cycles as all the ancients understood. We have lost the wisdom, but that lost wisdom is recovered somewhat in this valuable book. How is our human experience connected to the greater life of the cosmos?Our answer depends on our degree of self-realization, and we cannot truly know ourselves unless we understand how we feel and react to the cycles of heaven. This book brings some traditional wisdom into focus to help us with these fundamental questions about how to live well.

Casson's Invariant for Oriented Homology Three-Spheres

Casson's Invariant for Oriented Homology Three-Spheres PDF

Author: Selman Akbulut

Publisher: Princeton University Press

Published: 2014-07-14

Total Pages: 201

ISBN-13: 1400860628

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In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson's original outline and proceed by giving needed details, including an exposition of Newstead's results. They have often chosen classical concrete approaches over general methods. For example, they did not attempt to give gauge theory explanations for the results of Newstead; instead they followed his original techniques. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Heaven, Earth, & Humankind: Three spheres, Three light Cycles, Three Modes

Heaven, Earth, & Humankind: Three spheres, Three light Cycles, Three Modes PDF

Author: William M. Wadsworth

Publisher: Xlibris Corporation

Published: 2015-05-22

Total Pages: 130

ISBN-13: 1503560791

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The aim of this book is to map some of the deep structural and interpretive functions of the three “modes” for astrology. By first making inferences from ancient writings, then analyzing the correlations of the modes, it will be argued that the modes are vital to an understanding of human behavior. They anticipate a person’s level of functioning, or in other words, their governing meme. In traditional systems modes define three basic levels of human functioning: the intellectual, social, and biological. Properly understood, these human imperatives provide psychological insight into the interpretive meaning of sun, moon, ascendant, and planets. The associative values ascribed to the modes derive from their corresponding direct relations to the planes of the ecliptic, equator, and the horizon. Consequently, it is within astrological technology that this essay contends that the modes help interpret the sun, moon and ascendant in a natal chart, whose meaning also is measured by these same three planes.

Invariants of Homology 3-Spheres

Invariants of Homology 3-Spheres PDF

Author: Nikolai Saveliev

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 229

ISBN-13: 3662047055

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The book gives a systematic exposition of the diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories. The main topics covered include: constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, and Floer homology and gauge-theoretical invariants of homology cobordism. Many of the topics covered in the book appear in monograph form for the first time. The book gives a rather broad overview of ideas and methods and provides a comprehensive bibliography. The text will be a valuable source for both the graduate student and researcher in mathematics and theoretical physics.

Columnar Structures of Spheres

Columnar Structures of Spheres PDF

Author: Jens Winkelmann

Publisher: CRC Press

Published: 2023-03-31

Total Pages: 215

ISBN-13: 9814669490

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Columnar structures, many of which are helical, refer to dense cylindrical packings of particles. They are ubiquitous, for example, they exist in the contexts of botany, foams, and nanoscience. There have been in-depth investigations of columnar structures of both hard spheres (e.g., ball bearings) and soft spheres (e.g., wet foams), through computer simulations, analytic derivations, or simple experiments. This monograph serves as a comprehensive guide for scientists, engineers, or artists who would like to have a good grasp of the fundamentals and applications of such aesthetically appealing structures for their own professional interests. The book begins with an introduction to the field of packing problems, where such problems are closely related not only to the columnar structures presented in the book but also to the structures of condensed matter systems in general. It then discusses about columnar structures of spheres and overviews their classifications and applications. It reviews the models and concepts employed in the authors’ studies on columnar structures of spheres. It also details the method of sequential deposition for generating columnar structures of hard spheres computationally or experimentally. Lastly, it presents some latest findings on the columnar structures of soft spheres and on the structures obtained from the longitudinal compression of a hard-sphere chain in a cylindrical harmonic potential.