There are so many confusing descriptions of how Bekenstein-Hawking entropy binds black holes, and thus the question. I previously asked similar questions, but I realized questions were misleading and confusing, so I am asking a new question.
I do know that Bekenstein-Hawking entropy things really on a correct theory of quantum gravity, and thus is only a conjecture. Thus I am assuming that current string-theoretic approaches/interpretations are valid. Or simply say orthodox approaches.
One account states that Bekenstein-Hawking entropy does not work when gravity is really strong - this would be when black holes would shrink so much. Would this be correct, or is Bekenstein-Hawking entropy formula universal, at least for some types of black holes?
Should all black holes satisfy Bekenstein-Hawking entropy formula?
- Is Bekenstein-Hawking entropy referring only to state-independent entropic contribution? This is what I am getting out of Ted Jacobson's Entanglement Equilibrium and the Einstein Equation. Look at page 3, and Ted Jacobson literally matches state-independent contribution to Bekenstein-Hawking entropy, and rest of entropic contribution to be determined by the given state, which in this paper is quantum vacuum. However, by Bekenstein bound, it is said that Bekenstein-Hawking entropy is maximal. So it seems that Bekenstein-Hawking entropy refers to entire entropy, not just state-independent ones. How do I reconcile these together? What would be a correct way of understanding these matters?