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Author: Cheryl Caine Publisher: Xlibris Corporation ISBN: 1796039047 Category : Body, Mind & Spirit Languages : en Pages : 332
Book Description
This is a picture of myself along the Columbia River placed in symmetry. It shows the yielding receptive power of the yin aspect of the I-Ching which is the trigram number two “The Receptive”. In the center of this picture is a golden chalice. The top of the chalice looks like a blue butterfly. This is the transforming womb of Mother Wisdom, and her face is in the center of it. On each side, the fallopian tubes reach out towards my head, where the dancers are dancing life into being. The charioteer is poised above like “the creative heaven”, which is the first trigram of the I-Ching representing the yang aspect. He waits for the right time to move forward and as he sits in his chariot, he too meditates on the Holy Grail in front of him. In the hidden third he can bring it into motion through spirit in matter. For many decades my prayer has been for the renewing of my mind. This picture tells me that my prayer is in line with the process. I pray this for everyone. May we find our holy grail, land live our destiny.
Author: Cheryl Caine Publisher: Xlibris Corporation ISBN: 1796039047 Category : Body, Mind & Spirit Languages : en Pages : 332
Book Description
This is a picture of myself along the Columbia River placed in symmetry. It shows the yielding receptive power of the yin aspect of the I-Ching which is the trigram number two “The Receptive”. In the center of this picture is a golden chalice. The top of the chalice looks like a blue butterfly. This is the transforming womb of Mother Wisdom, and her face is in the center of it. On each side, the fallopian tubes reach out towards my head, where the dancers are dancing life into being. The charioteer is poised above like “the creative heaven”, which is the first trigram of the I-Ching representing the yang aspect. He waits for the right time to move forward and as he sits in his chariot, he too meditates on the Holy Grail in front of him. In the hidden third he can bring it into motion through spirit in matter. For many decades my prayer has been for the renewing of my mind. This picture tells me that my prayer is in line with the process. I pray this for everyone. May we find our holy grail, land live our destiny.
Author: Cheryl Caine Publisher: ISBN: 9781953397621 Category : Education Languages : en Pages : 176
Book Description
Natures Mirror of Symmetry takes us beyond our normal 3D way of seeing and shows us a whole new dimension that few see. This dimension gives us a glimpse of the divine in everything including ourselves.We enter what I call the "hidden third", which is in the center of what is being mirrored through symmetry. There are archetypal images in this center that reappear over and over again that I talk about them and how they affect us
Author: Masao Jinzenji Publisher: Springer ISBN: 9811300569 Category : Science Languages : en Pages : 147
Book Description
This book furnishes a brief introduction to classical mirror symmetry, a term that denotes the process of computing Gromov–Witten invariants of a Calabi–Yau threefold by using the Picard–Fuchs differential equation of period integrals of its mirror Calabi–Yau threefold. The book concentrates on the best-known example, the quintic hypersurface in 4-dimensional projective space, and its mirror manifold.First, there is a brief review of the process of discovery of mirror symmetry and the striking result proposed in the celebrated paper by Candelas and his collaborators. Next, some elementary results of complex manifolds and Chern classes needed for study of mirror symmetry are explained. Then the topological sigma models, the A-model and the B-model, are introduced. The classical mirror symmetry hypothesis is explained as the equivalence between the correlation function of the A-model of a quintic hyper-surface and that of the B-model of its mirror manifold.On the B-model side, the process of construction of a pair of mirror Calabi–Yau threefold using toric geometry is briefly explained. Also given are detailed explanations of the derivation of the Picard–Fuchs differential equation of the period integrals and on the process of deriving the instanton expansion of the A-model Yukawa coupling based on the mirror symmetry hypothesis.On the A-model side, the moduli space of degree d quasimaps from CP^1 with two marked points to CP^4 is introduced, with reconstruction of the period integrals used in the B-model side as generating functions of the intersection numbers of the moduli space. Lastly, a mathematical justification for the process of the B-model computation from the point of view of the geometry of the moduli space of quasimaps is given.The style of description is between that of mathematics and physics, with the assumption that readers have standard graduate student backgrounds in both disciplines.
Author: Kentaro Hori Publisher: American Mathematical Soc. ISBN: 0821829556 Category : Mathematics Languages : en Pages : 954
Book Description
This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.
Author: Anton Kapustin Publisher: Springer Science & Business Media ISBN: 3540680292 Category : Mathematics Languages : en Pages : 281
Book Description
An ideal reference on the mathematical aspects of quantum field theory, this volume provides a set of lectures and reviews that both introduce and representatively review the state-of-the art in the field from different perspectives.
Author: Leon M. Lederman Publisher: Prometheus Books ISBN: 1615920412 Category : Science Languages : en Pages : 363
Book Description
When scientists peer through a telescope at the distant stars in outer space or use a particle-accelerator to analyze the smallest components of matter, they discover that the same laws of physics govern the whole universe at all times and all places. Physicists call the eternal, ubiquitous constancy of the laws of physics symmetry. Symmetry is the basic underlying principle that defines the laws of nature and hence controls the universe. This all-important insight is one of the great conceptual breakthroughs in modern physics and is the basis of contemporary efforts to discover a grand unified theory to explain all the laws of physics. Nobel Laureate Leon M. Lederman and physicist Christopher T. Hill explain the supremely elegant concept of symmetry and all its profound ramifications to life on Earth and the universe at large in this eloquent, accessible popular science book. They not only clearly describe concepts normally reserved only for physicists and mathematicians, but they also instill an appreciation for the profound beauty of the universe’s inherent design. Central to the story of symmetry is an obscure, unpretentious, but extremely gifted German mathematician named Emmy Noether. Though still little known to the world, she impressed no less a scientist than Albert Einstein, who praised her "penetrating mathematical thinking." In some of her earliest work she proved that the law of the conservation of energy was connected to the idea of symmetry and thus laid the mathematical groundwork for what may be the most important concept of modern physics. Lederman and Hill reveal concepts about the universe, based on Noether’s work, that are largely unknown to the public and have wide-reaching implications in connection with the Big Bang, Einstein’s theory of relativity, quantum mechanics, and many other areas of physics. Through ingenious analogies and illustrations, they bring these astounding notions to life. This book will open your eyes to a universe you never knew existed.
Author: Bryan Bunch Publisher: ISBN: Category : Mathematics Languages : en Pages : 312
Book Description
Reality’s Mirror Exploring the Mathematics of Symmetry "Here is a book that explains in laymen language what symmetry is all about, from the lowliest snowflake and flounder to the lofty group structures whose astonishing applications to the Old One are winning Nobel prizes. Bunch’s book is a marvel of clear, witty science writing, as delightful to read as it is informative and up-to-date. The author is to be congratulated on a job well done." —Martin Gardner "Bryan Bunch’s ambidextrous mind leaps with ease from biology to physics as he explores the question of symmetry and handedness in the universe. An excellent treatment of the pervasiveness of symmetry in nature and an admirable weaving of common threads from many diverse fields." —Dr. Eugene F. Mallove Chief Science Writer Massachusetts Institute of Technology "Reality’s Mirror is fascinating. It really is something of a grand tour of symmetry in the universe: why it must be here—and what happens when it isn’t." —R. L. Graham Director, Mathematical Sciences Research Center AT&T Bell Laboratories
Author: Dave Goldberg Publisher: Penguin ISBN: 0142181048 Category : Science Languages : en Pages : 354
Book Description
“A great read… Goldberg is an excellent guide.”—Mario Livio, bestselling author of The Golden Ratio Physicist Dave Goldberg speeds across space, time and everything in between showing that our elegant universe—from the Higgs boson to antimatter to the most massive group of galaxies—is shaped by hidden symmetries that have driven all our recent discoveries about the universe and all the ones to come. Why is the sky dark at night? If there is anti-matter, can there be anti-people? Why are past, present, and future our only options? Saluting the brilliant but unsung female mathematician Emmy Noether as well as other giants of physics, Goldberg answers these questions and more, exuberantly demonstrating that symmetry is the big idea—and the key to what lies ahead.
Author: Magdolna Hargittai Publisher: World Scientific ISBN: 9812835326 Category : Science Languages : en Pages : 220
Book Description
The authors, world-renowned scientists, have already produced a dozen books on symmetry for professionals as well as lay persons, for grownups as well as children, in English, Russian, German, Hungarian, and Swedish languages. They provide this attractive account of symmetry in few words and many oOe1/4OCO as many as 650 oOe1/4OCO images in full color from the most diverse corners of our globe. An encounter with this book will open up a whole new experience for the reader, who will never look at the world with the same eyes as before."
Author: Loreen Leedy Publisher: National Geographic Books ISBN: 0823427625 Category : Juvenile Nonfiction Languages : en Pages : 0
Book Description
This book is aligned with the Common Core State Standards for fourth-grade mathematics in geometry: (4.G.3).Once you start looking, you can find symmetry all around you. Symmetry is when one shape looks the same if you flip, slide, or turn it. It's in words and even letters. It's in both nature and man-made things. In fact, art, design, decoration, and architecture are full of it. This clear and concise book explains different types of symmetry and shows you how to make your own symmetrical masterpieces. Notes and glossary are included.
Author: Cheryl Caine
Author: Cheryl Caine
Author: Cheryl Caine
Author: Masao Jinzenji
Author: Kentaro Hori
Author: Anton Kapustin
Author: Leon M. Lederman
Author: Bryan Bunch
Author: Dave Goldberg
Author: Magdolna Hargittai
Author: Loreen Leedy