Categorical Geometry and the Mathematical Foundations of Quantum General Relativity

Abstract

We explore the possibility of replacing point set topology by higher category theory and topos theory as the foundation for quantum general relativity. We discuss the BC model and problems of its interpretation, and connect with the construction of causal sites.

arXiv commentContribution to the Cambridge University Press volume on Quantum Gravity

References in corpus (3)

• Higher Yang-Mills Theory
• Comment on entropy bounds and the generalized second law
• A finiteness proof for the Lorentzian state sum spinfoam model for quantum general relativity

Cited by in corpus (2)

• How Logic Interacts with Geometry: Infinitesimal Curvature of Categorical Spaces
• Synthetic Approach to the Singularity Problem