
arXiv: 0706.0985
In the framework of loop quantum gravity (LQG), having quantum black holes in mind, we generalize the previous boundary state counting (gr-qc/0508085) to a full bulk state counting. After a suitable gauge fixing we are able to compute the bulk entropy of a bounded region (the "black hole") with fixed boundary. This allows us to study the relationship between the entropy and the boundary area in details and we identify a holographic regime of LQG where the leading order of the entropy scales with the area. We show that in this regime we can fine tune the factor between entropy and area without changing the Immirzi parameter.
13 pages
loop quantum gravity, Black holes, Applications of graph theory, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), spin network coarse-graining, Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory, General Relativity and Quantum Cosmology, holographic principle, black hole, Quantization of the gravitational field, entropy
loop quantum gravity, Black holes, Applications of graph theory, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), spin network coarse-graining, Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory, General Relativity and Quantum Cosmology, holographic principle, black hole, Quantization of the gravitational field, entropy
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