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20 April 2024
 
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A 2-Surface Quantization of the Lorentzian Gravity
Marcin Bobie’nski ; Jerzy Lewandowski ; Mariusz Mroczek ;
Date 17 Dec 2000
Subject gr-qc
AbstractThis 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.
Source arXiv, gr-qc/0101069
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