Space-Time Foliation in Quantum Gravity, Yuki Sato

Автор: Yuki Sato
Название: Space-Time Foliation in Quantum Gravity
ISBN: 4431549463 ISBN-13(EAN): 9784431549468
Издательство: Springer
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Автор: Calvin C. Moore; Claude Schochet
Название: Global Analysis on Foliated Spaces
ISBN: 1461395941 ISBN-13(EAN): 9781461395942
Издательство: Springer
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Описание: which culminate in the Ativah-Singer Index Theorem [ASI] which places constraints on the solutions of elliptic systems of partial differential equations in terms of the Fredholm index of the associated elliptic operator and characteristic differential forms which are related to global topologie al properties of the manifold.

Автор: Viatcheslav Mukhanov
Название: Introduction to Quantum Effects in Gravity
ISBN: 0521868343 ISBN-13(EAN): 9780521868341
Издательство: Cambridge Academ
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Описание: This book, first published in 2007, is an introductory textbook on quantum field theory in gravitational backgrounds for undergraduate and beginning graduate students in the fields of theoretical astrophysics, cosmology, particle physics, and string theory. It is self-contained and assumes only a basic knowledge of general relativity, and includes exercises with detailed solutions.

Автор: Licata Ignazio
Название: Beyond Peaceful Coexistence; The Emergence Of Space, Time And Quantum
ISBN: 178326831X ISBN-13(EAN): 9781783268313
Издательство: World Scientific Publishing
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Описание: Quantum Physics and Spacetime Dynamics beyond Peaceful Coexistence brings together leading academics in mathematics and physics to address the key questions behind one of the hottest problems in current theoretical physics

Автор: Hsu Jong-Ping Et Al
Название: Space-Time Symmetry And Quantum Yang-Mills Gravity: How Space-Time Translational Gauge Symmetry Enables The Unification Of Gravity With Other Forces
ISBN: 9814436186 ISBN-13(EAN): 9789814436182
Издательство: World Scientific Publishing
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Описание: Yang-Mills gravity is a new theory, consistent with experiments, that brings gravity back to the arena of gauge field theory and quantum mechanics in flat space-time. It provides solutions to long-standing difficulties in physics, such as the incompatibility between Einstein's principle of general coordinate invariance and modern schemes for a quantum mechanical description of nature, and Noether's 'Theorem II' which showed that the principle of general coordinate invariance in general relativity leads to the failure of the law of conservation of energy. Yang-Mills gravity in flat space-time appears to be more physically coherent than conventional gravity in curved space-time. The problems of quantization of the gravitational field, the operational meaning of space-time coordinates and momenta, and the conservation of energy-momentum are all resolved in Yang-Mills gravity.The aim of this book is to provide a treatment of quantum Yang-Mills gravity, with an emphasis on the ideas and evidence that the gravitational field is the manifestation of space-time translational symmetry in flat space-time, and that there exists a fundamental space-time symmetry framework that can encompass all of physics, including gravity, for all inertial and non-inertial frames of reference.