Black Hole Entropy from Indistinguishable Quantum Geometric Excitations

Figure 1

The blue curves are the solutions of (10) and (13). is symbolized as “” in the 3D plot. There are two branches of solutions, of which the U-shaped curve is excluded on physical grounds. The other curve is the only feasible solution which has a broadening due to graphical impreciseness of the plot. (See the Appendix.)