Geometry, Relativity and the Fourth Dimension PDF Download
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Author: Rudolf Rucker
Publisher: Courier Corporation
ISBN: 0486140334
Category : Science
Languages : en
Pages : 159
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Book Description
Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.
Author: Rudolf Rucker
Publisher: Courier Corporation
ISBN: 0486140334
Category : Science
Languages : en
Pages : 159
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Book Description
Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.
Author: Vesselin Petkov
Publisher: Springer Science & Business Media
ISBN: 3540277005
Category : Science
Languages : en
Pages : 291
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Book Description
Puts the emphasis on conceptual questions: Why is there no such thing as absolute motion? What is the physical meaning of relativity of simultaneity? But, the most important question that is addressed in this book is "what is the nature of spacetime?" or, equivalently, "what is the dimensionality of the world at the macroscopic level?" Develops answers to these questions via a thorough analysis of relativistic effects and explicitly asking whether the objects involved in those effects are three-dimensional or four-dimensional. Discusses the implication of the result (this analysis clearly shows that if the world and the physical objects were three-dimensional, none of the kinematic relativistic effects and the experimental evidence supporting them would be possible) for physics, philosophy, and our entire world view are discussed.
Author: Tony Robbin
Publisher: Yale University Press
ISBN: 0300129629
Category : Art
Languages : en
Pages : 151
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Book Description
In this insightful book, which is a revisionist math history as well as a revisionist art history, Tony Robbin, well known for his innovative computer visualizations of hyperspace, investigates different models of the fourth dimension and how these are applied in art and physics. Robbin explores the distinction between the slicing, or Flatland, model and the projection, or shadow, model. He compares the history of these two models and their uses and misuses in popular discussions. Robbin breaks new ground with his original argument that Picasso used the projection model to invent cubism, and that Minkowski had four-dimensional projective geometry in mind when he structured special relativity. The discussion is brought to the present with an exposition of the projection model in the most creative ideas about space in contemporary mathematics such as twisters, quasicrystals, and quantum topology. Robbin clarifies these esoteric concepts with understandable drawings and diagrams. Robbin proposes that the powerful role of projective geometry in the development of current mathematical ideas has been long overlooked and that our attachment to the slicing model is essentially a conceptual block that hinders progress in understanding contemporary models of spacetime. He offers a fascinating review of how projective ideas are the source of some of today’s most exciting developments in art, math, physics, and computer visualization.
Author: Vesselin Petkov
Publisher: Springer Science & Business Media
ISBN: 1402063180
Category : Science
Languages : en
Pages : 283
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Book Description
The main focus of this volume is the question: is spacetime nothing more than a mathematical space (which describes the evolution in time of the ordinary three-dimensional world) or is it a mathematical model of a real four-dimensional world with time entirely given as the fourth dimension? The book contains fourteen invited papers which either directly address the main question of the nature of spacetime or explore issues related to it.
Author: M.J Duff
Publisher: CRC Press
ISBN: 1482268736
Category : Science
Languages : en
Pages : 513
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Book Description
A unified theory embracing all physical phenomena is a major goal of theoretical physics. In the early 1980s, many physicists looked to eleven-dimensional supergravity in the hope that it might provide that elusive superunified theory. In 1984 supergravity was knocked off its pedestal by ten-dimensional superstrings, one-dimensional objects whose v
Author: Carl Wilkinson
Publisher:
ISBN: 9781786277503
Category : Physicists
Languages : en
Pages : 64
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Book Description
Understand how Einstein came to write the most famous equation in history and see how the world was changed forever.Broken into 10 bite-sized chapters, this step-by-step journey through Einstein's mind takes his original manuscripts and makes them accessible to budding scientists everywhere.
Author: Rudy Rucker
Publisher: Courier Corporation
ISBN: 0486779785
Category : Science
Languages : en
Pages : 243
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Book Description
One of the most talented contemporary authors of cutting-edge math and science books conducts a fascinating tour of a higher reality, the Fourth Dimension. Includes problems, puzzles, and 200 drawings. "Informative and mind-dazzling." — Martin Gardner.
Author: Harald Fritzsch
Publisher: University of Chicago Press
ISBN: 9780226265575
Category : Biography & Autobiography
Languages : en
Pages : 318
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Book Description
Following the style of Galileo's Dialogue on the Two Chief World Systems, and addressed to readers without specialized knowledge in physics and higher mathematics, this book lets us listen in on an imaginary meeting of the scientists who created classical physics and modern relativity.
Author: Paul S. Wesson
Publisher: World Scientific
ISBN: 9812385479
Category : Science
Languages : en
Pages : 219
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Book Description
Einstein endorsed the view of Kaluza that gravity could be combined with electromagnetism if the dimensionality of the world is extended from 4 to 5. Klein applied this idea to quantum theory, laying a basis for the various modern versions of string theory. Recently, work by a group of researchers has resulted in a coherent formulation of 5D relativity, in which matter in 4D is induced by geometry in 5D. This theory is based on an unrestricted group of 5D coordinate transformations that leads to new solutions and agreement with the classical tests of relativity. This book collects together the main technical results on 5D relativity, and shows how far we can realize Einstein''s vision of physics as geometry.
Author: George Yuri Rainich
Publisher: Courier Corporation
ISBN: 0486783251
Category : Science
Languages : en
Pages : 193
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Book Description
Based on the ideas of Einstein and Minkowski, this concise treatment is derived from the author's many years of teaching the mathematics of relativity at the University of Michigan. Geared toward advanced undergraduates and graduate students of physics, the text covers old physics, new geometry, special relativity, curved space, and general relativity. Beginning with a discussion of the inverse square law in terms of simple calculus, the treatment gradually introduces increasingly complicated situations and more sophisticated mathematical tools. Changes in fundamental concepts, which characterize relativity theory, and the refinements of mathematical technique are incorporated as necessary. The presentation thus offers an easier approach without sacrifice of rigor. Dover (2014) republication of the edition published by John Wiley & Sons, New York, 1950. See every Dover book in print at www.doverpublications.com
