Quantum Gravity In De Sitter Space
@article{Witten2001QuantumGI, title={Quantum Gravity In De Sitter Space}, author={Edward Witten}, journal={arXiv: High Energy Physics - Theory}, year={2001} }
We discuss some general properties of quantum gravity in De Sitter space. It has been argued that the Hilbert space is of finite dimension. This suggests a macroscopic argument that General Relativity cannot be quantized -- unless it is embedded in a more precise theory that determines the value of the cosmological constant. We give a definition of the quantum Hilbert space using the asymptotic behavior in the past and future, without requiring detailed microscopic knowledge. We discuss the…
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