Ambiguity of black hole entropy in loop quantum gravity

We reexmine some proposals of black hole entropy in loop quantum gravity (LQG) and consider a new possible choice of the Immirzi parameter which has not been pointed out so far. We also discuss the fact that a new idea is inevitable if we regard the relation between the area spectrum in LQG and the relation between the area spectrum in the quasinormal mode analysis seriously.

Figure 1

Spin network and a surface.