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Author : Mathieu Anel,Gabriel Catren
Publisher : Cambridge University Press
Page : 437 pages
File Size : 49,8 Mb
Release : 2021-04
Category : Mathematics
ISBN : 9781108490627
In this graduate-level book, leading researchers explore various new notions of 'space' in mathematical physics.
Author : Mathieu Anel,Gabriel Catren
Publisher : Unknown
Page : 900 pages
File Size : 40,6 Mb
Release : 2020-11-30
Category : Mathematics
ISBN : 1108854362
Author : Tim Maudlin
Publisher : Oxford University Press
Page : 374 pages
File Size : 43,7 Mb
Release : 2014-02
Category : Mathematics
ISBN : 9780198701309
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
Author : Mathieu Anel,Gabriel Catren
Publisher : Cambridge University Press
Page : 601 pages
File Size : 49,5 Mb
Release : 2021-04
Category : Mathematics
ISBN : 9781108490634
In this graduate-level book, leading researchers explore various new notions of 'space' in mathematics.
Author : Peter Szekeres
Publisher : Cambridge University Press
Page : 620 pages
File Size : 44,5 Mb
Release : 2004-12-16
Category : Mathematics
ISBN : 0521829607
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
Author : Frederick W. Byron,Robert W. Fuller
Publisher : Courier Corporation
Page : 674 pages
File Size : 45,8 Mb
Release : 2012-04-26
Category : Science
ISBN : 9780486135069
Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
Author : N. D. Birrell,P. C. W. Davies
Publisher : Cambridge University Press
Page : 362 pages
File Size : 54,9 Mb
Release : 1984-02-23
Category : Science
ISBN : 9781107392816
This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast literature that has contributed to this development. All the major technical results are presented, and the theory is developed carefully from first principles. Here is everything that students or researchers will need to embark upon calculations involving quantum effects of gravity at the so-called one-loop approximation level.
Author : Jirí Blank,Pavel Exner,Miloslav Havlícek
Publisher : Springer Science & Business Media
Page : 677 pages
File Size : 42,5 Mb
Release : 2008-09-24
Category : Science
ISBN : 9781402088704
The new edition of this book detailing the theory of linear-Hilbert space operators and their use in quantum physics contains two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography contains 130 new items.
Author : Fiorenzo Bastianelli,Peter van Nieuwenhuizen
Publisher : Cambridge University Press
Page : 47 pages
File Size : 49,6 Mb
Release : 2006-07-20
Category : Science
ISBN : 9781139456845
This book introduces path integrals, a powerful method for describing quantum phenomena, and then uses them to compute anomalies in quantum field theories. An advanced text for researchers and graduate students of quantum field theory and string theory, it also provides a stand-alone introduction to path integrals in quantum mechanics.
Author : Ole Christensen
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 42,7 Mb
Release : 2010-05-27
Category : Mathematics
ISBN : 9780817649807
This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. Readers are expected to have a solid understanding of linear algebra, in Rn and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required.
Author : Philippe Blanchard,Erwin Bruening
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200499
Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.
Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 1052 pages
File Size : 42,8 Mb
Release : 2002-02-08
Category : Science
ISBN : 0387985794
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
Author : Shing-Tung Yau,Steven J. Nadis
Publisher : Il Saggiatore
Page : 398 pages
File Size : 53,8 Mb
Release : 2010-09-07
Category : Mathematics
ISBN : 9780465020232
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
Author : Bernd Schmeikal
Publisher : Nova Science Publishers
Page : 0 pages
File Size : 55,8 Mb
Release : 2014
Category : Motion
ISBN : 1631178091
This book investigates a discrete theory beyond space and time of QCD-entanglement that creates space-time. Quantum entanglement is known as the most striking property of electrodynamics. It provides both a foundation for quantum information technology and a challenge for theoretical physics. Unfortunately, the equations of motion for entangled systems, quantum jumps and similar phenomena are always conceived as models in space-time. Regardless, whether we consider a quantified local oscillator, a heterodyne detection model, a Bell inequality, a CHSH-inequality, an objective pure state system, or a non-linear steering inequality, it is always formulated in space-time, using the x, σx and so on. This is a doubtable method, since proceeding in this way, we are constructing space-time models of those events that bring about this very space-time, the frames', wherein they are supposed to move. Those who carry out calculations in EPR quantum-steering experiments are acquainted with the Kochen-Specker theorem. But they are still deriving the estimates for expectation values of densities and inequalities from the implicit assumption of states in Hilbert-space. Though some of us have co-operatively managed to close all the major loopholes, the locality loophole, the freedom-of-choice loophole and the detection loophole, none of us has as yet realised that a closure of the locality-loophole in strong qcd-interaction is entirely impossible. A space-like separation of hadronic events cannot be achieved. The reason for our weak models is in the lack of a suitable exact theory of interaction. Such a theory is complete and phenomenologically consistent to some extent. Theoretically, both the iterant algebra of polarised entangled strings as well as the derived geometric algebra of the known space-time is incompatible with complete space-like separation. The loophole opening up on this basis is as large and as old as that universe we pretend to know.
Author : Roger Penrose
Publisher : Princeton University Press
Page : 520 pages
File Size : 42,7 Mb
Release : 2016-09-13
Category : Science
ISBN : 9781400880287
One of the world's leading physicists questions some of the most fashionable ideas in physics today, including string theory What can fashionable ideas, blind faith, or pure fantasy possibly have to do with the scientific quest to understand the universe? Surely, theoretical physicists are immune to mere trends, dogmatic beliefs, or flights of fancy? In fact, acclaimed physicist and bestselling author Roger Penrose argues that researchers working at the extreme frontiers of physics are just as susceptible to these forces as anyone else. In this provocative book, he argues that fashion, faith, and fantasy, while sometimes productive and even essential in physics, may be leading today's researchers astray in three of the field's most important areas—string theory, quantum mechanics, and cosmology. Arguing that string theory has veered away from physical reality by positing six extra hidden dimensions, Penrose cautions that the fashionable nature of a theory can cloud our judgment of its plausibility. In the case of quantum mechanics, its stunning success in explaining the atomic universe has led to an uncritical faith that it must also apply to reasonably massive objects, and Penrose responds by suggesting possible changes in quantum theory. Turning to cosmology, he argues that most of the current fantastical ideas about the origins of the universe cannot be true, but that an even wilder reality may lie behind them. Finally, Penrose describes how fashion, faith, and fantasy have ironically also shaped his own work, from twistor theory, a possible alternative to string theory that is beginning to acquire a fashionable status, to "conformal cyclic cosmology," an idea so fantastic that it could be called "conformal crazy cosmology." The result is an important critique of some of the most significant developments in physics today from one of its most eminent figures.