PRINCIPLES OF QUANTUM GENERAL RELATIVITY
by Eduard Prugovecki (Univ. Toronto)
Preface (533k)
Table of Contents (164k)
List of Symbols (872k)
Chapter 1: Survey of Principal Historical Developments
Chapter 1.1: From Special to General Relativity (665k)
Chapter 1.2: Geometry as Part of Physical Theory (675k)
Chapter 1.3: Quantum Theory and the idea of Fundamental Length (545k)
Chapter 1.4: Localizability and Renormalizability in Quantum Field Theory (539k)
Chapter 1.5: Quantum Field Theory in Curved Spacetime (398k)
Chapter 1.6: From Canonical Quantum Gravity to Superstrings (629k)
This monograph explains and analyzes the principles of a quantum-geometric framework for the unification of general relativity and quantum theory. By taking advantage of recent advances in areas like fibre and superfibre bundle theory, Krein spaces, gauge fields and groups, coherent states, etc., these principles can be consistently incorporated into a framework that can justifiably be said to provide the foundations for a quantum extrapolation of general relativity. This volume aims to present this approach in a way which places as much emphasis on fundamental physical ideas as on their precise mathematical implementation. References are also made to the ideas of Einstein, Bohr, Born, Dirac, Heisenberg and others, in order to set the work presented here in an appropriate historical context.
|
