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.

Contents:

• Survey of Principal Historical Developments
• Classical Frame Buddles in General Relativity
• Quantum Frames and Spacetime Localizability
• Quantum Geometry over a Classical Base Spacetime
• Massive Quantum-Geometic Boson Fields
• Massive Quantum-Geometric Fermion Fields
• Massless Quantum-Geometric Gauge Fields
• Quantum-Geometric Gravity

"The reader gets the impression that the present monograph represents the state of the art in this special discipline of mathematical physics and that new vistas in our understanding of quantum gravity are opened. Valuable résumés after sound mathematical derivations are helpful in understanding the motivation of the author and clarifying his intentions. Therefore, the monograph can be recommended for researchers and those who are interested in the frontiers of the unifying of basic physical phenomena."