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Abstract: We present a separable version of Loop Quantum Gravity LQG based on aninductive system of cubic lattices. We construct semi-classical states forwhich the LQG operators - the flux, the area and the volume operators - havethe right classical limits. Also, we present the Hamilton and diffeomorphismconstraints as operator constraints and show that they have the right classicallimit. Finally, we speculate whether the continuum limit, which thesesemi-classical states probe, can be defined for the entire construction andthereby restore an action of the diffeomorphism group.



Autor: Johannes Aastrup, Jesper M. Grimstrup

Fuente: https://arxiv.org/







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