Overview

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.

Full Product Details

Author:   Margaret Prugovecki
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1992
Volume:   48
Dimensions:   Width: 15.50cm , Height: 2.70cm , Length: 23.50cm
Weight:   0.925kg
ISBN:  

9789048141340

ISBN 10:   9048141346
Pages:   530
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Principles and Physical Interpretation of Quantum Geometries.- The Fibre Bundle Framework for Classical General Relativity.- Stochastic Quantum Mechanics on Phase Space.- Nonrelativistic Newton-Cartan Quantum Geometries.- Relativistic Klein-Gordon Quantum Geometries.- Relativistic Dirac Quantum Geometries.- Relativistic Quantum Geometries for Spin-0 Massive Fields.- Relativistic Quantum Geometries for Spin-1/2 Massive Fields.- Quantum Geometries for Electromagnetic Fields.- Classical and Quantum Geometries for Yang-Mills Fields.- Geometro-Stochastic Quantum Gravity.- Historical and Epistemological Perspectives on Developments in Relativity and Quantum Theory.

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