Quantum Cosmology and Black Hole Interiors in Nonsupersymmetric String Theory and Canonical Gravity

Abstract

In this paper we study black hole interior solutions and cosmologies in different dimensions using tools from canonical gravity and nonsupersymmetric string quantum cosmology. We find that the quantum wave functions associated with these solutions can be related to each other by a specific choice of variables. In a more realistic four dimensional setting we combine canonical gravity and nonsupersymmetric string orbifold compactifications. We discuss the classical solutions and the corresponding wave functions involving inflation, the Higgs field, dark matter and hidden gauge sectors in these models. Finally we discuss string aspects of these models such as duality, massive modes, and nonperturbative approaches such as Matrix theory and holography near the singularity.