On the value of the Immirzi parameter and the horizon entropy

In loop quantum gravity (LQG) the quantisation of general relativity leads to precise predictions for the eigenvalues of geometrical observables like volume and area, up to the value of the only free parameter of the theory, the Barbero-Immirzi (BI) parameter. With the help of the eigenvalues equation for the area operator, LQG successfully derives the Bekenstein-Hawking entropy of large black holes with isolated horizons, fixing at this limit the BI parameter as gamma approximate to 0.274. In the present paper we show some evidence that a black hole with angular momentum PLANCK CONSTANT OVER TWO PI and Planck mass is an eigenstate of the area operator provided that gamma=root 3/6 approximate to 1.05x0.274

Automated summary

In Loop Quantum Gravity (LQG), the quantization of general relativity provides precise predictions for geometrical observables and successfully derives the Bekenstein-Hawking entropy of large black holes. The value of the Barbero-Immirzi (BI) parameter is fixed at a specific limit, with evidence suggesting that black holes with certain angular momentum and mass may be eigenstates of the area operator.