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arxiv: 1210.2252 · v1 · pith:MOJ7DC4Knew · submitted 2012-10-08 · 🌀 gr-qc · hep-th

The scaling of black hole entropy in loop quantum gravity

classification 🌀 gr-qc hep-th
keywords blackentropyholegravityloopnaturalquantumarea
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We discuss some general properties of black hole entropy in loop quantum gravity from the perspective of local stationary observers at distance l from the horizon. The present status of the theory indicates that black hole entropy differs from the low energy (IR) expected value A/(4G) (in natural units) in the deep Planckian regime (UV). The partition function is well defined if the number of non-geometric degrees of freedom g_M (encoding the degeneracy of the area a_p eigenvalue at a puncture p) satisfy the holographic bound g_M < exp(ap/(4G)). Our framework provides a natural renormalization mechanism such that S_UV ---> S_IR=A/(4 G) as the scale l flows.

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