Seeing Four Dimensional Space And Beyond

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Seeing Four Dimensional Space And Beyond Using Knots
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Author : Eiji Ogasa
language : en
Publisher: World Scientific
Release Date : 2023-07-21
Seeing Four Dimensional Space And Beyond Using Knots written by Eiji Ogasa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-21 with Mathematics categories.
According to string theory, our universe exists in a 10- or 11-dimensional space. However, the idea the space beyond 3 dimensions seems hard to grasp for beginners. This book presents a way to understand four-dimensional space and beyond: with knots! Beginners can see high dimensional space although they have not seen it.With visual illustrations, we present the manipulation of figures in high dimensional space, examples of which are high dimensional knots and n-spheres embedded in the (n+2)-sphere, and generalize results on relations between local moves and knot invariants into high dimensional space.Local moves on knots, circles embedded in the 3-space, are very important to research in knot theory. It is well known that crossing changes are connected with the Alexander polynomial, the Jones polynomial, HOMFLYPT polynomial, Khovanov homology, Floer homology, Khovanov homotopy type, etc. We show several results on relations between local moves on high dimensional knots and their invariants.The following related topics are also introduced: projections of knots, knot products, slice knots and slice links, an open question: can the Jones polynomial be defined for links in all 3-manifolds? and Khovanov-Lipshitz-Sarkar stable homotopy type. Slice knots exist in the 3-space but are much related to the 4-dimensional space. The slice problem is connected with many exciting topics: Khovanov homology, Khovanv-Lipshits-Sarkar stable homotopy type, gauge theory, Floer homology, etc. Among them, the Khovanov-Lipshitz-Sarkar stable homotopy type is one of the exciting new areas; it is defined for links in the 3-sphere, but it is a high dimensional CW complex in general.Much of the book will be accessible to freshmen and sophomores with some basic knowledge of topology.
Seeing Four Dimensional Space And Beyond
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Author : Eiji Ogasa
language : en
Publisher:
Release Date : 2023
Seeing Four Dimensional Space And Beyond written by Eiji Ogasa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Four-manifolds (Topology) categories.
"An introductory text for knot theory. Introduces the tool for visualizing 4- and higher-dimensional space. Also discusses recent developments in the field"--
Fear Of Seeing
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Author : Mingwei Song
language : en
Publisher: Columbia University Press
Release Date : 2023-10-03
Fear Of Seeing written by Mingwei Song and has been published by Columbia University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-03 with Literary Criticism categories.
Winner, 2023 SFRA Book Award, Science Fiction Research Association A new wave of cutting-edge, risk-taking science fiction has energized twenty-first-century Chinese literature. These works capture the anticipation and anxieties of China’s new era, speaking to a future filled with uncertainties. Deeply entangled with the politics and culture of a changing China, contemporary science fiction has also attracted a growing global readership. Fear of Seeing traces the new wave’s origin and development over the past three decades, exploring the core concerns and literary strategies that make it so distinctive and vital. Mingwei Song argues that recent Chinese science fiction is united by a capacity to illuminate what had been invisible—what society had chosen not to see; what conventional literature had failed to represent. Its poetics of the invisible opens up new literary possibilities and inspires new ways of telling stories about China and the world. Reading the works of major writers such as Liu Cixin and Han Song as well as lesser-known figures, Song explores how science fiction has spurred larger changes in contemporary literature and culture. He analyzes key topics: variations of utopia and dystopia, cyborgs and the posthuman, and nonbinary perspectives on gender and genre, among many more. A compelling and authoritative account of the politics and poetics of contemporary Chinese science fiction, Fear of Seeing is an important book for all readers interested in the genre’s significance for twenty-first-century literature.
Beyond Mars
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Author : Shaun Messick
language : en
Publisher: iUniverse
Release Date : 2005-12
Beyond Mars written by Shaun Messick and has been published by iUniverse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12 with Fiction categories.
Twenty-three years after the disappearance of the Mars I space shuttle, NASA receives a mysterious transmission from Adrian Palmer, the commander of the mission. Adrian's brother, Kevin, wastes no time funding the Mars II rescue mission that will be commanded by Jake Palmer, Adrian's son. Jake and Dr. Steven "Skip" Hendricks, a NASA physicist and guru of religious history, travel through a wormhole that Skip believes was the reason the Mars I crew disappeared. They eventually crash-land on the planet Terrest and are thrust into a dangerous conflict. The native Terrestrians are at war against a superrace of humans called the Gnols, led by Koroan Chast. The Terrestrian's struggle is futile because the Gnols have superior intelligence, strength, and telekinetic and telepathic abilities. It's only when Koroan's own daughter, Celeste, rebels from her father's tyrannical rule and joins Adrian and Jake that the rebels stand a chance. In addition, Skip discovers a prophecy given by Jesus Christ in an ancient temple on Terrest detailing how the Gnols can possibly be defeated. But before the prophecy can come to pass, Adrian and Jake must first stop the Gnols from attacking Earth and enslaving the human race. Beyond Mars has been revised and is now entitled, Worlds Without End: The Mission. For more information on books authored by Shaun F. Messick, visit www.EmpyreanPublications.com.
A Ludic Journey Into Geometric Topology
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Author : Ton Marar
language : en
Publisher: Springer Nature
Release Date : 2022-09-01
A Ludic Journey Into Geometric Topology written by Ton Marar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-01 with Mathematics categories.
This book draws on elements from everyday life, architecture, and the arts to provide the reader with elementary notions of geometric topology. Pac Man, subway maps, and architectural blueprints are the starting point for exploring how knowledge about geometry and, more specifically, topology has been consolidated over time, offering a learning journey that is both dense and enjoyable. The text begins with a discussion of mathematical models, moving on to Platonic and Keplerian theories that explain the Cosmos. Geometry from Felix Klein's point of view is then presented, paving the way to an introduction to topology. The final chapters present the concepts of closed, orientable, and non-orientable surfaces, as well as hypersurface models. Adopting a style that is both rigorous and accessible, this book will appeal to a broad audience, from curious students and researchers in various areas of knowledge to everyone who feels instigated by the power of mathematics in representing our world - and beyond.
Beyond Einstein S Unified Field
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Author : John Brandenburg, Ph.D.
language : en
Publisher: SCB Distributors
Release Date : 2011-08-07
Beyond Einstein S Unified Field written by John Brandenburg, Ph.D. and has been published by SCB Distributors this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-07 with Science categories.
Veteran plasma physicist John Brandenburg reveals the new theory that finally accomplishes what Einstein failed to do: the GEM Unification Theory proves the mathematical and physical interrelation of the forces of gravity and electromagnetism! This theory vindicates Einstein's dedication to unifying the fields in the final labor of his life. His quest became legendary, then mythic, until the whole idea was dismissed as myth by other physicists; the gravity-electromagnetism problem pursued by Einstein until his death became regarded like the ancient Greek problem of squaring the circle-an epic puzzle with no solution. But the other physicists were wrong, as Brandenburg shows. It turns out the fields can be unified-the circle can be squared-and this has vast implications for the future of humankind. Brandenburg starts out by tracing the evolution of thought on the two long-term forces of nature, gravity and electromagnetism, from ancient times to the modern day. He shows the intricate interweaving of Einstein's work with that of other physicists, including Sarkharov and his "zero point” theory of gravity and the hidden fifth dimension of Kaluza and Klein. He also traces the surprising, hidden influence of Nikola Tesla on Einstein's life. This book shows how, despite Einstein's errors in the details, the successful GEM Unification Theory is built on his basic hypothesis that gravity and electromagnetic forces could be unified, and that both controlled gravity and a new view of the cosmos follow: hydrogen, the basic building block of the universe, can be unified with the vacuum itself! The universe is self-renewing, a sort of "evergreen cosmos.” Brandenburg describes control of space-time geometry through electromagnetism, and states that faster-than-light travel will be possible in the future. Anti-gravity through electromagnetism is possible, which upholds the basic "flying saucer” design utilizing "The Tesla Vortex.” A must read for any person interested in UFOs and leading-edge physics. See the physics used at Area 51 explained!
Quantum Field Theory And Beyond
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Author : Erhard Seiler
language : en
Publisher: World Scientific
Release Date : 2008
Quantum Field Theory And Beyond written by Erhard Seiler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
This book contains a collection of essays written in honor of Wolfhart Zimmermann''s 80th birthday, most of them based on talks presented at a symposium in his honor.The book shows the unifying force of a subject (Quantum Field Theory) and a person (Zimmermann). It ranges from fundamental questions in quantum physics over applications to particle physics and noncommutative geometry to the latest developments in many body theory and dynamical systems. These key ideas are elucidated by worldwide-recognized experts including Faddeev, Becchi, Buchholz, Lowenstein and Salmhofer.Readers seeking examples on how a subject has evolved, diversified and deepened over the course of several decades and how a single person can influence this process can find here a perfect illustration. Altogether, readers are treated to a high-brow intellectual adventure.
Strange Matters
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Author : Tom Siegfried
language : en
Publisher: Joseph Henry Press
Release Date : 2002-08-09
Strange Matters written by Tom Siegfried and has been published by Joseph Henry Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-09 with Science categories.
Scientists studying the universe find strange things in two placesâ€"out in space and in their heads. This is the story of how the most imaginative physicists of our time perceive strange features of the universe in advance of the actual discoveries. It is almost a given that physics and cosmology present us with some of the grandest mysteries of all. What weightier questions to ponder than, "How does the universe work?" or "What is the universe made of?" There are any number of bizarre phenomena that could provide clues or even answers to these queries. The strangeness ranges from unusual forms of matter and realms of existence to wild ideas about how time and space are related to one another. Many of these proposals may well turn out to be wrong. But how many will be proven to be right? This book speaks for the scientific theorists who are bold enough to imagine and predict the impossible. New ideas are percolating in their heads every day. One physicist may dream of subatomic particles that could resolve a variety of cosmological conundrums while another may study the likes of "funny energy," which may explain how rapidly the universe is expanding. This is the stuff of Strange Matters. In broad terms, this book is about a variety of discoveries that theorists of the past imagined before the observers and experimenters actually saw them. Moreover, it is about the things that today’s are now imaginingâ€"but haven't yet been discovered or confirmed by the observers. Strange Matters artfully mixes the present with the past and future, reporting from the frontiers of research where history is in the process of being made. Each chapter examines a different step along the twisted path we've walked to gain our rudimentary understanding of the universe, incorporating historical examples of successful "prediscoveries" with current stories that relate brand new ideas. We come to see the universe not only in terms of what has already been discovered, but also in terms of what has yet to be observed. Strange Matters is a guide to the discoveries of the twenty-first century, a series of visions dreamt by the most imaginative scientists of our time merged with the achievements of the pastâ€"to point the way towards even greater accomplishments of the future.
Beyond The Cube
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Author : Jean-François Gabriel
language : en
Publisher: John Wiley & Sons
Release Date : 1997-08-12
Beyond The Cube written by Jean-François Gabriel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-12 with Architecture categories.
This book offers an in-depth look at space frame architecture, including space frame projects completed by such notable architects as I. M. Pei, Buckminster Fuller, Philip Johnson and Louis Kahn. Both theory and practice are included to offer a comprehensive overview of the history, current use, and future outlook for creating space frame structures. The 15 distinguised contributors to this book have extensive background in the architecture of space frames and offer an international perspective on the subject. The text is illustrated with hundreds of line drawings, black-and-white photos, and an eight-page color insert.
Warped Passages
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Author : Lisa Randall
language : en
Publisher: Penguin UK
Release Date : 2006-08-03
Warped Passages written by Lisa Randall and has been published by Penguin UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-03 with Science categories.
In Warped Passages one of the world's most exciting scientists gives us a glimpse into our future. Incredibly readable - and illustrated throughout - it allows the general reader to understand the questions that scientists are dealing with at the frontiers of research today. Lisa Randall allows the reader to understand the kind of problems that extra dimensions might solve and the kind of speculation that is needed even to imagine them. She also gives an introduction to developments in early twentieth century physics, particle physics and string theory and addresses current debates about relativity, quantum mechanics and gravity - and she describes the questions that are still to be solved.