Categorical Geometry and the Mathematical Foundations of Quantum General Relativity

Details Categorical Geometry and the Mathematical Foundations of Quantum General Relativity Categorical Geometry and the Mathematical Foundations of Quantum General Relativity

2006-02-28

arxiv.org/abs/gr-qc/0602120v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Contribution to the Cambridge University Press volume on Quantum Gravity

Scientific paper

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.

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