Download or read book Pseudo Complex General Relativity written by Peter O. Hess and published by Springer. This book was released on 2015-10-31 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the role of singularities in general relativity (GR): The theory predicts that when a sufficient large mass collapses, no known force is able to stop it until all mass is concentrated at a point. The question arises, whether an acceptable physical theory should have a singularity, not even a coordinate singularity. The appearance of a singularity shows the limitations of the theory. In GR this limitation is the strong gravitational force acting near and at a super-massive concentration of a central mass. First, a historical overview is given, on former attempts to extend GR (which includes Einstein himself), all with distinct motivations. It will be shown that the only possible algebraic extension is to introduce pseudo-complex (pc) coordinates, otherwise for weak gravitational fields non-physical ghost solutions appear. Thus, the need to use pc-variables. We will see, that the theory contains a minimal length, with important consequences. After that, the pc-GR is formulated and compared to the former attempts. A new variational principle is introduced, which requires in the Einstein equations an additional contribution. Alternatively, the standard variational principle can be applied, but one has to introduce a constraint with the same former results. The additional contribution will be associated to vacuum fluctuation, whose dependence on the radial distance can be approximately obtained, using semi-classical Quantum Mechanics. The main point is that pc-GR predicts that mass not only curves the space but also changes the vacuum structure of the space itself. In the following chapters, the minimal length will be set to zero, due to its smallness. Nevertheless, the pc-GR will keep a remnant of the pc-description, namely that the appearance of a term, which we may call "dark energy", is inevitable. The first application will be discussed in chapter 3, namely solutions of central mass distributions. For a non-rotating massive object it is the pc-Schwarzschild solution, for a rotating massive object the pc-Kerr solution and for a charged massive object it will be the Reissner-Nordström solution. This chapter serves to become familiar on how to resolve problems in pc-GR and on how to interpret the results. One of the main consequences is, that we can eliminate the event horizon and thus there will be no black holes. The huge massive objects in the center of nearly any galaxy and the so-called galactic black holes are within pc-GR still there, but with the absence of an event horizon! Chapter 4 gives another application of the theory, namely the Robertson-Walker solution, which we use to model different outcomes of the evolution of the universe. Finally the capability of this theory to predict new phenomena is illustrated.
Download or read book Complex Relativity written by Jean E. Charon and published by . This book was released on 1988 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Physics Relativity and Complex Spacetime written by Gerald Kaiser and published by North Holland. This book was released on 1990 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime, and it is shown that this complexification has a solid physical interpretation as an extended phase space. The extended fields can be said to be realistic wavelet transforms of the original fields. A new, algebraic theory of wavelets is developed.
Download or read book Lectures on Complex Approximation written by GAIER and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of General Relativity, after its invention by Albert Einstein, remained for many years a monument of mathemati cal speculation, striking in its ambition and its formal beauty, but quite separated from the main stream of modern Physics, which had centered, after the early twenties, on quantum mechanics and its applications. In the last ten or fifteen years, however, the situation has changed radically. First, a great deal of significant exper~en tal data became available. Then important contributions were made to the incorporation of general relativity into the framework of quantum theory. Finally, in the last three years, exciting devel opments took place which have placed general relativity, and all the concepts behind it, at the center of our understanding of par ticle physics and quantum field theory. Firstly, this is due to the fact that general relativity is really the "original non-abe lian gauge theory," and that our description of quantum field in teractions makes extensive use of the concept of gauge invariance. Secondly, the ideas of supersymmetry have enabled theoreticians to combine gravity with other elementary particle interactions, and to construct what is perhaps the first approach to a more finite quantum theory of gravitation, which is known as super gravity.
Download or read book Complex General Relativity written by Giampiero Esposito and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculus and conformally invariant concepts in gravitational physics. The key concepts the book is devoted to are complex manifolds, spinor techniques, conformal gravity, ?-planes, ?-surfaces, Penrose transform, complex 3 1 – – space-time models with non-vanishing torsion, spin- fields and spin- potentials. 2 2 Problems have been inserted at the end, to help the reader to check his und- standing of these topics. Thus, I can find at least four reasons for writing yet another book on spinor and twistor methods in general relativity: (i) to write a textbook useful to - ginning graduate students and research workers, where two-component spinor c- culus is the unifying mathematical language.
Download or read book Thespirit that Stranger Inside Us written by Jean Emile Charon and published by Infinity Publishing. This book was released on 2004 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are we immortal? A brilliant nuclear physicist presents solid scientific evidence that we are. In simple terms non-scientists can understand, Jean Charon offers us positive proof that our bodies may die, but our Spirits live on forever.
Download or read book Relativity Groups Particles written by Roman U. Sexl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook bridges the gap between the level of introductory courses on mechanics and electrodynamics and the level of application in high energy physics and quantum field theory. After explaining the postulates that lead to the Lorentz transformation and after going through the main points special relativity has to make in classical mechanics and electrodynamics, the authors gradually lead the reader up to a more abstract point of view on relativistic symmetry - illustrated by physical examples - until finally motivating and developing Wigner's classification of the unitary irreducible representations of the inhomogeneous Lorentz group. Numerous historical and mathematical asides contribute to the conceptual clarification.
Download or read book Concepts of Physics written by Alessio Mangoni and published by . This book was released on 2020-08-15 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection brings together the five books of the series "concepts of physics". The books cover the following topics: complex numbers, special relativity, the mathematics for quantum mechanics, the Dirac equation, relativity, decays and electromagnetic fields. These are basic concepts of physics, indispensable for its complete understanding.
Download or read book Relativity Visualized written by and published by Insight Press, Incorporated. This book was released on 1985 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perfect for those interested in physics but who are not physicists or mathematicians, this book makes relativity so simple that a child can understand it. By replacing equations with diagrams, the book allows non-specialist readers to fully understand the concepts in relativity without the slow, painful progress so often associated with a complicated scientific subject. It allows readers not only to know how relativity works, but also to intuitively understand it.
Download or read book The Whorf Theory Complex written by Penny Lee and published by John Benjamins Publishing. This book was released on 1996-01-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: At last a comprehensive account of the ideas of Benjamin Lee Whorf which not only explains the nature and logic of the linguistic relativity principle but also situates it within a larger 'theory complex' delineated in fascinating detail. Whorf's almost unknown unpublished writings (as well as his published papers) are drawn on to show how twelve elements of theory interweave in a sophisticated account of relations between language, mind, and experience. The role of language in cognition is revealed as a central concern, some of his insights having interesting affinity with modern connectionism. Whorf's gestaltic 'isolates' of experience and meaning, crucial to understanding his reasoning about linguistic relativity, are explained. A little known report written for the Yale anthropology department is used extensively and published for the first time as an appendix. With the Whorf centenary in 1997, this book provides a timely challenge to those who take pleasure in debunking his ideas without bothering to explore their subtlety or even reading them in their original form.
Download or read book Topics In Mathematical Physics General Relativity And Cosmology In Honor Of Jerzy Plebanski Proceedings Of 2002 International Conference written by Bogdan Mielnik and published by World Scientific. This book was released on 2006-08-10 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles — resembling monk's calligraphy — as well as a collection of oil paintings.As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the “heavenly” and “hyper-heavenly” equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al.A tribute to Plebański's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem.
Download or read book Classical General Relativity written by W. B. Bonnor and published by CUP Archive. This book was released on 1984-09-13 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is made up of papers presented at the Conference on Classical General Relativity held at the City University, London, in December 1983. New tests, arising from space experimentation, pulsars and black holes have revitalised the study of Einstein's theory of gravitation (classical general relativity). Nineteen contributors survey recent progress and identify future avenues of research.
Download or read book Relativity written by Antonia Hayes and published by Simon and Schuster. This book was released on 2016-05-03 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A “beautifully written, heartbreaking” (S. J. Watson) debut novel about a gifted boy who discovers the truth about his past, his overprotective single mother who tries desperately to shield him from it, and the father he has never met who has unexpectedly returned. “Original, compassionate, cleverly plotted, and genuinely difficult to put down.” –Graeme Simsion, New York Times bestselling author of The Rosie Project Twelve-year-old Ethan Forsythe, an exceptionally talented boy obsessed with physics and astronomy, has been raised alone by his mother in Sydney, Australia. Claire, a former professional ballerina, has been a wonderful parent to Ethan, but he’s becoming increasingly curious about his father’s absence in his life. Claire is fiercely protective of her talented, vulnerable son—and of her own feelings. But when Ethan falls ill, tied to a tragic event that occurred during his infancy, her tightly-held world is split open. Thousands of miles away on the western coast of Australia, Mark is trying to forget about the events that tore his family apart, but an unexpected call forces him to confront his past and return home. When Ethan secretly intercepts a letter from Mark to Claire, he unleashes long-suppressed forces that—like gravity—pull the three together again, testing the limits of love and forgiveness. Told from the alternating points of view of Ethan and each of his parents, Relativity is a poetic and soul-searing exploration of unbreakable bonds, irreversible acts, the limits of science, and the magnitude of love.
Download or read book Special Relativity written by Michael Tsamparlis and published by Springer Science & Business Media. This book was released on 2010-05-17 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: Writing a new book on the classic subject of Special Relativity, on which numerous important physicists have contributed and many books have already been written, can be like adding another epicycle to the Ptolemaic cosmology. Furthermore, it is our belief that if a book has no new elements, but simply repeats what is written in the existing literature, perhaps with a different style, then this is not enough to justify its publication. However, after having spent a number of years, both in class and research with relativity, I have come to the conclusion that there exists a place for a new book. Since it appears that somewhere along the way, mathem- ics may have obscured and prevailed to the degree that we tend to teach relativity (and I believe, theoretical physics) simply using “heavier” mathematics without the inspiration and the mastery of the classic physicists of the last century. Moreover current trends encourage the application of techniques in producing quick results and not tedious conceptual approaches resulting in long-lasting reasoning. On the other hand, physics cannot be done a ́ la carte stripped from philosophy, or, to put it in a simple but dramatic context A building is not an accumulation of stones! As a result of the above, a major aim in the writing of this book has been the distinction between the mathematics of Minkowski space and the physics of r- ativity.
Download or read book Universal Concept of Complexity by the Dynamic Redundance Paradigm written by Andrei P. Kirilyuk and published by . This book was released on 1997 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A First Course in General Relativity written by Bernard Schutz and published by Cambridge University Press. This book was released on 2009-05-14 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.
Download or read book A Most Incomprehensible Thing written by Peter Collier and published by Incomprehensible Books. This book was released on 2017-04-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: A straightforward, enjoyable guide to the mathematics of Einstein's relativity To really understand Einstein's theory of relativity – one of the cornerstones of modern physics – you have to get to grips with the underlying mathematics. This self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. With a user-friendly style, clear step-by-step mathematical derivations, many fully solved problems and numerous diagrams, this book provides a comprehensive introduction to a fascinating but complex subject. For those with minimal mathematical background, the first chapter gives a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes, relativistic cosmology and gravitational waves. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes. "I must observe that the theory of relativity resembles a building consisting of two separate stories, the special theory and the general theory. The special theory, on which the general theory rests, applies to all physical phenomena with the exception of gravitation; the general theory provides the law of gravitation and its relations tothe other forces of nature." – Albert Einstein, 1919 Understand even the basics of Einstein's amazing theory and the world will never seem the same again. Contents: Preface Introduction 1 Foundation mathematics 2 Newtonian mechanics 3 Special relativity 4 Introducing the manifold 5 Scalars, vectors, one-forms and tensors 6 More on curvature 7 General relativity 8 The Newtonian limit 9 The Schwarzschild metric 10 Schwarzschild black holes 11 Cosmology 12 Gravitational waves Appendix: The Riemann curvature tensor Bibliography Acknowledgements January 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.
