Beschreibung:
Aside from the obvious statement that it should be a theory capable of unifying general relativity and quantum field theory, not much is known about the true nature of quantum gravity.
Three Physics Visions.- Notes on "Quantum Gravity" and Noncommutative Geometry.- Quantum Gravity as Sum over Spacetimes.- Lectures on Quantization of Gauge Systems.- Novel Mathematical Tools.- Mathematical Tools for Calculation of the Effective Action Effective Action in Quantum Gravity.- Lectures on Cohomology, T-Duality, and Generalized Geometry.- Stochastic Geometry and Quantum Gravity: Some Rigorous Results.- Afterthoughts.- Steps Towards Quantum Gravity and the Practice of Science: Will the Merger of Mathematics and Physics Work?.