Items related to Quantum Geometry: A Framework for Quantum General Relativity...
Quantum Geometry: A Framework for Quantum General Relativity (Fundamental Theories of Physics, 48) - Hardcover
Synopsis
The present monograph provides a systematic and basicaIly self-eontained introduetion to a mathematieal framework eapable of ineOIporating those fundamental physical premises of general relativity and quantum meehanics which are not mutually ineonsistent, and which ean be therefore retained in the unifieation of these two fundamental areas of twentieth eentury physics. Thus, its underlying thesis is that the equivalenee principle of classical general relativity remains true at the quantum level, where it has to be reeonciled, however, with the uneertainty principle. As will be discussed in the first as weIl as in the last chapter, eonventional methods based on classical geometries and on single Hilbert space frame works for quantum meehanics have failed to aehieve such a reconciliation. On the other hand, foundational arguments suggest that new types of geometries should be introdueed. The geometries proposed and studied in this monograph are referred to as quantum geometries, sinee basic quantum principles are ineorporated into their strueture from the outset. The mathematical tools used in constructing these quantum geometries are drawn from functional analysis and fibre bundle theory, and in particular from Hilbert space the ory, group representation theory, and modern formulations of differential geometry. The developed physical eoncepts have their roots in nonrelativistic and relativistic quantum me chanics in Hilbert spaee, in classical general relativity and in quantum field theory for mas sive and gauge fields.
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Quantum Geometry: A Framework for Quantum General Relativity...
Stock Image
Quantum Geometry: A Framework for Quantum General Relativity (Fundamental Theories of Physics, 48)
Seller: Best Price, Torrance, CA, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. SUPER FAST SHIPPING. Seller Inventory # 9780792316404
Quantity: 2 available
Seller Image
Quantum Geometry : A Framework for Quantum General Relativity
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 3186814-n
Quantity: 15 available
Stock Image
Quantum Geometry: A Framework for Quantum General Relativity (Fundamental Theories of Physics, 48)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Feb2416190180990
Quantity: Over 20 available
Stock Image
Quantum Geometry (Hardcover)
Published by
Kluwer Academic Publishers, Dordrecht, 1992
ISBN 10: 0792316401
ISBN 13: 9780792316404
New
Hardcover
Seller: Grand Eagle Retail, Mason, OH, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. This monograph presents a review and analysis of the main mathematical, physical and epistemological difficulties encountered at the foundational level by all the conventional formulations of relativistic quantum theories, ranging from relativistic quantum mechanics and quantum field theory in Minkowski space, to the various canonical and covariant approaches to quantum gravity. It is, however, primarily devoted to the systematic presentation of a quantum geometry framework meant to deal effectively with these difficulties by reconsidering the foundations of these subjects, analyzing their epistemic nature, and then developing mathematical tools which are specifically designed for the elimination of all the basic inconsistencies. The deficiencies of the conventional approaches are not usually discussed in the mainstream literature on these subjects, even though many of them were uncovered, and the need for their elimination was emphasized, by many founders of quantum theory, such as Born, Dirac, and Heisenberg.Hence, a historical survey is included, and additional extensive notes containing quotations from original sources are incorporated at the end of each chapter, so that the reader will be brought up-to-date with recent developments in quantum field theory in curved spacetime, quantum gravity and quantum cosmology. The survey further provides a backdrop against which the new foundational and mathematical ideas of the present approach to these subjects can be brought out in sharper relief. These ideas reflect the legacy of the founders of relativity and quantum theory, as they are attempting to find a common ground in the apparently irreconcilable points of view of Bohr and Einstein. In developing them, as much attention is devoted to incorporating them into a mathematically sound framework for relativistic quantum theory, advocated by Dirac, as to securing their epistemological soundness, reflected by a clear enunciation of all the underlying physcial principles, whose need was stressed by Heisenberg.This work is aimed at theoretical and mathematical physicists, mathematicians interested in differential geometry, fibre bundles, and global analysis, philosophers and historians of sciences interested in general relativity and quantum theory. Despite the advanced level of many of the areas of mathematics and theoretical physics treated, every effort has been made to produce a text which is also accessible to graduate students in physics and mathematics. Presents a review and analysis of the main mathematical, physical and epistomological difficulties encountered at the foundational level by various conventional formulations of relativistic quantum theories. This title includes a survey which offers developments in quantum field theory in curved spacetime, quantum gravity and quantum cosmology. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780792316404
Quantity: 1 available
Stock Image
Quantum Geometry: A Framework for Quantum General Relativity (Fundamental Theories of Physics, 48)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9780792316404_new
Quantity: Over 20 available
Seller Image
Quantum Geometry
Print on DemandSeller: moluna, Greven, Germany
Seller rating 4 out of 5 stars
Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Preface. 1. Principles and Physical Interpretation of Quantum Geometries. 2. The Fibre Framework for Classical General Relativity. 3. Stochastic Quantum Mechanics on Phase Space. 4. Nonrelativistic Newton-Carton Quantum Geometries. 5. Relativistic Klein. Seller Inventory # 5966482
Quantity: Over 20 available
Seller Image
Quantum Geometry : A Framework for Quantum General Relativity
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 3186814
Quantity: 15 available
Stock Image
Quantum Geometry
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. pp. 548. Seller Inventory # 26542166
Quantity: 4 available
Stock Image
Quantum Geometry: A Framework for Quantum General Relativity
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
Condition: New. 1992. Hardcover. . . . . . Seller Inventory # V9780792316404
Quantity: 15 available
Seller Image
Quantum Geometry
Published by
Springer Netherlands, Springer Netherlands Feb 1992, 1992
ISBN 10: 0792316401
ISBN 13: 9780792316404
New
Hardcover
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The present monograph provides a systematic and basicaIly self-eontained introduetion to a mathematieal framework eapable of ineOIporating those fundamental physical premises of general relativity and quantum meehanics which are not mutually ineonsistent, and which ean be therefore retained in the unifieation of these two fundamental areas of twentieth eentury physics. Thus, its underlying thesis is that the equivalenee principle of classical general relativity remains true at the quantum level, where it has to be reeonciled, however, with the uneertainty principle. As will be discussed in the first as weIl as in the last chapter, eonventional methods based on classical geometries and on single Hilbert space frame works for quantum meehanics have failed to aehieve such a reconciliation. On the other hand, foundational arguments suggest that new types of geometries should be introdueed. The geometries proposed and studied in this monograph are referred to as quantum geometries, sinee basic quantum principles are ineorporated into their strueture from the outset. The mathematical tools used in constructing these quantum geometries are drawn from functional analysis and fibre bundle theory, and in particular from Hilbert space the ory, group representation theory, and modern formulations of differential geometry. The developed physical eoncepts have their roots in nonrelativistic and relativistic quantum me chanics in Hilbert spaee, in classical general relativity and in quantum field theory for mas sive and gauge fields.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 548 pp. Englisch. Seller Inventory # 9780792316404
Quantity: 1 available