Quantum Geometry: A Framework for Quantum General Relativity by Margaret PrugoveckiQuantum Geometry: A Framework for Quantum General Relativity by Margaret Prugovecki

Quantum Geometry: A Framework for Quantum General Relativity

byMargaret Prugovecki

Paperback | December 15, 2010

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This monograph presents a review and analysis of the main mathematical, physical and epistomological 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 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. A carefully documented 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 the very latest 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.
Title:Quantum Geometry: A Framework for Quantum General RelativityFormat:PaperbackDimensions:543 pages, 9.25 × 6.1 × 0.27 inPublished:December 15, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048141346

ISBN - 13:9789048141340

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Table of Contents

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-Gordon Quantum Geometries. 6. Relativistic Dirac Quantum Geometries. 7. Relativistic Quantum Geometries for Spin-O Massive Fields. 8. Relativistic Quantum Geometries for Spin-1/2 Massive Fields. 9. Quantum Geometries for Electromagnetic Fields. 10. Classical and Quantum Geometries for Yang-Mills Fields. 11. Geometro-Stochastic Quantum Gravity. 12. Historical and Epistemological Perpectives on Developments in Relativity and Quantum Theory. References. Index.