Download or read book Natures Mirror of Symmetry written by Cheryl Caine and published by Xlibris Us. This book was released on 2019-09-19 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Natures Mirror of Symmetry written by Cheryl Caine and published by Xlibris Corporation. This book was released on with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Natures Mirror Of Symmetry written by Cheryl Caine and published by . This book was released on 2021-01-22 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Classical Mirror Symmetry written by Masao Jinzenji and published by Springer. This book was released on 2018-04-18 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Symmetry as a Developmental Principle in Nature and Art written by Werner Hahn and published by World Scientific. This book was released on 1998 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking beyond the boundaries of various disciplines, the author demonstrates that symmetry is a fascinating phenomenon which provides endless stimulation and challenges. He explains that it is possible to readapt art to the sciences, and vice versa, by means of an evolutionary concept of symmetry. Many pictorial examples are included to enable the reader to fully understand the issues discussed. Based on the artistic evidence that the author has collected, he proposes that the new ars evolutoria can function as an example for the sciences.The book is divided into three distinct parts, each one focusing on a special issue. In Part I, the phenomenon of symmetry, including its discovery and meaning is reviewed. The author looks closely at how Vitruvius, Polyclitus, Democritus, Plato, Aristotle, Plotinus, Augustine, Alberti, Leonardo da Vinci and Durer viewed symmetry. This is followed by an explanation on how the concept of symmetry developed. The author further discusses symmetry as it appears in art and science, as well as in the modern age. Later, he expounds the view of symmetry as an evolutionary concept which can lead to a new unity of science. In Part II, he covers the points of contact between the form-developing process in nature and art. He deals with biological questions, in particular evolution.The collection of new and precise data on perception and knowledge with regard to the postulated reality of symmetry leads to further development of the evolutionary theory of symmetry in Part III. The author traces the enormous treasure of observations made in nature and culture back to a few underlying structural principles. He demonstrates symmetry as a far-reaching, leading, structuring, causal element of evolution, as the idea lying behind nature and culture. Numerous controllable reproducible double-mirror experiments on a new stereoscopic vision verify a symmetrization theory of perception.
Download or read book Mirror Symmetry written by Kentaro Hori and published by American Mathematical Soc.. This book was released on 2003 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Reality s Mirror written by Bryan Bunch and published by . This book was released on 1989-10-10 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Homological Mirror Symmetry written by Anton Kapustin and published by Springer Science & Business Media. This book was released on 2009 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nature s Numbers written by Ian Stewart and published by Basic Books. This book was released on 2008-08-04 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It appears to us that the universe is structured in a deeply mathematical way. Falling bodies fall with predictable accelerations. Eclipses can be accurately forecast centuries in advance. Nuclear power plants generate electricity according to well-known formulas. But those examples are the tip of the iceberg. In Nature's Numbers, Ian Stewart presents many more, each charming in its own way.. Stewart admirably captures compelling and accessible mathematical ideas along with the pleasure of thinking of them. He writes with clarity and precision. Those who enjoy this sort of thing will love this book."—Los Angeles Times
Download or read book Shadowlands written by Robert Foot and published by Universal-Publishers. This book was released on 2002 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a revolutionary new theory, Dr. Robert Foot of the University of Melbourne argues that meteorites composed of mirror matter could impact with the Earth without leaving any ordinary fragments. Indeed, the theory seems to provide a simple explanation for the puzzling Tunguska event--the blast which destroyed a huge area of Siberian forest in 1908. While scientists have attributed this explosion to an ordinary meteorite, no traces of such an object have ever been found. Moreover, there are frequent smaller such events, occurring on a yearly basis, which are even more puzzling. Foot's new book lays clear the scientific case for mirror matter. It describes the fascinating evidence for its existence including, astronomical observations suggesting that most of our galaxy is made from a new form of matter--dark matter. It explains puzzling Jupiter sized planets only a few million miles from their host star, and the mysterious slowing down of spacecraft in our solar system. Remarkably, it is also possible that Pluto might even be a mirror world, which would explain various anomalous features of its orbit. Perhaps the most important consequence of all this--if true--is the possibility of actually extracting the mirror matter from the Tunguska impact site and other such sites on earth. Invisible asteroids and other cosmic bodies made of a new form of matter may pose a threat to Earth, agrees a noted Australian physicist. But the mirror matter idea has not attracted a huge following among physicists. In a recent UPI article, Howard Georgi of Harvard University says, "Foot's ideas have not attracted a huge following in the community that cares about these things, perhaps because the problems they solve, while interesting, are not the most critical puzzles that we are wrestling with." Nevertheless, mirror matter, if it exists, would be a completely new type of material with a potentially huge commercial value. Its scientific value would be of no less importance. FROM THE BACK COVER Nearly 50 years ago it was discovered that the fundamental particles, such as the electron and proton, have `left-handed' interactions; they do not respect mirror symmetry. This experimental fact motivates the idea that a set of `mirror particles' exist. The left-handedness of the ordinary particles can then be balanced by the right-handedness of the mirror particles. In this way mirror reflection symmetry can exist but requires something profoundly new. It requires the existence of a completely new form of matter called `mirror matter'. Remarkably the mirror matter theory is capable of simply explaining a large number of contemporary puzzles in astrophysics and particle physics. The evidence ranges from observations suggesting that most of the matter in the Universe is invisible, to unexpected properties of ghostly particles called `neutrinos'. This book explains this fascinating theory and its evidence at a level accessible to the non-specialist.
Download or read book The Universe in the Rearview Mirror written by Dave Goldberg and published by Penguin. This book was released on 2014-06-24 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.
Download or read book Symmetry written by György Darvas and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive book on the topic in half a century explores recent symmetry – and symmetry breaking – related discoveries, and discusses the questions and answers they raise in diverse disciplines: particle and high-energy physics, structural chemistry and the biochemistry of proteins, in genetic code study, in brain research, and also in architectural structures, and business decision making, to mention only a few examples.
Download or read book Science 1001 Absolutely Everything that Matters in Science written by Paul Parsons and published by Quercus. This book was released on 2014-12-09 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science 1001 provides clear and concise explanations of the most fundamental and fascinating scientific concepts. Distilled into 1001 bite-sized mini-essays arranged thematically, this unique reference book moves steadily from the basics through to the most advanced of ideas, making it the ideal guide for novices and science enthusiasts. Whether used as a handy reference, an informal self-study course or simply as a gratifying dip-in, this book offers--in one volume--a world of cutting-edge scientific knowledge for the general reader. Science 1001 is an incredibly comprehensive guide, spanning all of the key scientific disciplines including Physics, Chemistry, Biology, The Earth, Space, Health and Medicine, Social Science, Information Science, the Applied Sciences and Futurology. From Newton's elemental laws of motion and the physics of black holes, through the fundamental particles of matter, to the extraordinary Human Genome Project and the controversial possibilities of cloning and gene therapy, Dr. Paul Parsons demystifies the key concepts of science in the simplest language and answers its big questions: Will scientists find a cure for AIDS? How did the universe begin? And will we conquer space? Concluding with an exciting glimpse of what's to come for science--from the possibility of time travel to the specter of trans-humanism--this really is the only science book you'll ever need.
Download or read book Hidden Unity in Nature s Laws written by John C. Taylor and published by Cambridge University Press. This book was released on 2001-04-09 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide-ranging and illuminating account of how our understanding of the world has developed by uncovering 'hidden unities' in nature.
Download or read book Symmetry written by Marcus Du Sautoy and published by Harper Collins. This book was released on 2009-10-13 with total page 2 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematician takes us on “a pilgrimage through the uncanny world of symmetry [in] a dramatically presented and polished treasure of theories” (Kirkus Reviews). Symmetry is all around us. Of fundamental significance to the way we interpret the world, this unique, pervasive phenomenon indicates a dynamic relationship between objects. Combining a rich historical narrative with his own personal journey as a mathematician, Marcus du Sautoy—a writer “able to engage general readers in the cerebral dramas of pure mathematics” (Booklist)—takes a unique look into the mathematical mind as he explores deep conjectures about symmetry and brings us face-to-face with the oddball mathematicians, both past and present, who have battled to understand symmetry’s elusive qualities. “The author takes readers gently by the hand and leads them elegantly through some steep and rocky terrain as he explains the various kinds of symmetry and the objects they swirl around. Du Sautoy explains how this twirling world of geometric figures has strange but marvelous connections to number theory, and how the ultimate symmetrical object, nicknamed the Monster, is related to string theory. This book is also a memoir in which du Sautoy describes a mathematician’s life and how one makes a discovery in these strange lands. He also blends in minibiographies of famous figures like Galois, who played significant roles in this field.” —Publishers Weekly “Fascinating and absorbing.” —The Economist “Impressively, he conveys the thrill of grasping the mathematics that lurk in the tile work of the Alhambra, or in palindromes, or in French mathematician Évariste Galois’s discovery of the interactions between the symmetries in a group.” —Kirkus Reviews
Download or read book Mathematics and Art written by Lynn Gamwell and published by Princeton University Press. This book was released on 2016 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.
Download or read book What Shape is a Snowflake written by Ian Stewart and published by . This book was released on 2001 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: An enlightening vision of how the laws of mathematics find organic expression in the beauty and patterns of nature, written by an acclaimed mathematician and science writer.
