A 2-Surface Quantization of the Lorentzian Gravity

Details A 2-Surface Quantization of the Lorentzian Gravity A 2-Surface Quantization of the Lorentzian Gravity

2001-01-17

arxiv.org/abs/gr-qc/0101069v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

QG1-a session of MG9

Scientific paper

This is a contribution to the MG9 session QG1-a. A new quantum representation for the Lorentzian gravity is created from the Pullin vaccum by the operators assigned to 2-complexes. The representation uses the original, spinorial Ashtekar variables, the reality conditions are well posed and Thiemann's Hamiltonian is well defined. The results on the existence of a suitable Hilbert product are partial. They were derived in collaboration with Abhay Ashtekar.

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