Quantum Geometry : A Framework for Quantum General Relativity

Language: English

Published by Springer, 1992

0792316401 / 9780792316404

Series: Book 13 of 103 - Fundamental Theories of Physics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.

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Title
Quantum Geometry : A Framework for Quantum General Relativity
Author
Margaret Prugovecki
Publisher
Springer
Publication year
1992
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0792316401
ISBN 13
9780792316404
Item weight
980 grams
Dimensions
241x160x34 mm
Series
Book 13 of 103: Fundamental Theories of Physics

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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