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arXiv · 1205.3487

The Microcanonical Entropy of Quantum Isolated Horizon, `quantum hair' $N$ and the Barbero-Immirzi parameter fixation

Abhishek Majhi
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Abstract

{\it If} the total number of punctures($N$) of a quantum isolated horizon is considered to be a macroscopic parameter alongside the Chern-Simons level($k$) or equivalently classical area$(A_{cl})$ a strict analysis of the {\it microcanonical} ensemble reveals that the {\it microcanonical} entropy has the form $S_{MC}=A_{cl}/4\ell_p^2+Nσ(γ)$, only for values of the Barbero-Immirzi(BI) parameter$(γ)$ greater than a certain number. It is argued that the term $Nσ(γ)$ must be negative definite, which leads to the bound on the BI parameter.

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Abhishek Majhi. 2014-03-11. The Microcanonical Entropy of Quantum Isolated Horizon, `quantum hair' $N$ and the Barbero-Immirzi parameter fixation. https://doi.org/10.1088/0264-9381/31/9/095002

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