Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-10-20
J.Math.Phys. 46 (2005) 122502
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
21 pages, 3 eps figures; v2: added references; to appear in JMP
Scientific paper
10.1063/1.2138043
We propose a structure called a causal site to use as a setting for quantum geometry, replacing the underlying point set. The structure has an interesting categorical form, and a natural "tangent 2-bundle," analogous to the tangent bundle of a smooth manifold. Examples with reasonable finiteness conditions have an intrinsic geometry, which can approximate classical solutions to general relativity. We propose an approach to quantization of causal sites as well.
Christensen Daniel J.
Crane Louis
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