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Author: Mathieu Anel
Publisher: Cambridge University Press
ISBN: 110849062X
Category : Mathematics
Languages : en
Pages : 437
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Book Description
In this graduate-level book, leading researchers explore various new notions of 'space' in mathematical physics.
Author: Mathieu Anel
Publisher: Cambridge University Press
ISBN: 110849062X
Category : Mathematics
Languages : en
Pages : 437
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Book Description
In this graduate-level book, leading researchers explore various new notions of 'space' in mathematical physics.
Author: Mathieu Anel
Publisher:
ISBN: 9781108854368
Category : Mathematics
Languages : en
Pages : 900
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Book Description
Author: Tim Maudlin
Publisher:
ISBN: 0198701306
Category : Mathematics
Languages : en
Pages : 374
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Book Description
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
Publisher: Cambridge University Press
ISBN: 1108848214
Category : Mathematics
Languages : en
Pages : 602
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Book Description
After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. The chapters in this volume cover a broad range of topics in mathematics, including diffeologies, synthetic differential geometry, microlocal analysis, topos theory, infinity-groupoids, homotopy type theory, category-theoretic methods in geometry, stacks, derived geometry, and noncommutative geometry. It is addressed primarily to mathematicians and mathematical physicists, but also to historians and philosophers of these disciplines.
Author: Max Jammer
Publisher: Courier Corporation
ISBN: 0486166473
Category : Science
Languages : en
Pages : 289
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Book Description
Historical surveys consider Judeo-Christian notions of space, Newtonian absolute space, perceptions from 18th century to the present, more. Numerous quotations and references. "Admirably compact and swiftly paced style." — Philosophy of Science.
Author: Peter Szekeres
Publisher: Cambridge University Press
ISBN: 9780521829601
Category : Mathematics
Languages : en
Pages : 620
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Book Description
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
Author: Mathieu Anel
Publisher: Cambridge University Press
ISBN: 1108490638
Category : Mathematics
Languages : en
Pages : 601
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Book Description
In this graduate-level book, leading researchers explore various new notions of 'space' in mathematics.
Author: N. D. Birrell
Publisher: Cambridge University Press
ISBN: 1107392810
Category : Science
Languages : en
Pages : 362
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Book Description
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: Bernd Schmeikal
Publisher: Nova Science Publishers
ISBN: 9781631178092
Category : Motion
Languages : en
Pages : 0
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Book Description
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: Frederick W. Byron
Publisher: Courier Corporation
ISBN: 0486135063
Category : Science
Languages : en
Pages : 674
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Book Description
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.
