## Black hole thermodynamics |

In **black hole thermodynamics**^{[1]} is the area of study that seeks to reconcile the ^{[2]}

- overview
- the laws of black hole mechanics
- beyond black holes
- see also
- notes
- citations
- bibliography
- external links

The

Starting from theorems proved by ^{[3]}^{[4]} corresponding to a certain temperature (Hawking temperature).^{[5]}^{[6]} Using the ^{[7]}^{[8]}

where is the area of the event horizon, is **Bekenstein–Hawking formula**. The subscript BH either stands for "black hole" or "Bekenstein–Hawking". The black-hole entropy is proportional to the area of its event horizon . The fact that the black-hole entropy is also the maximal entropy that can be obtained by the ^{[2]} This area relationship was generalized to arbitrary regions via the ^{[9]}

Although Hawking's calculations gave further thermodynamic evidence for black-hole entropy, until 1995 no one was able to make a controlled calculation of black-hole entropy based on ^{[10]} appeared to suggest that black holes could have only a single microstate. The situation changed in 1995 when ^{[11]} the right Bekenstein–Hawking entropy of a

In ^{[nb 1]} it is possible to associate a geometrical interpretation with the microstates: these are the quantum geometries of the horizon. LQG offers a geometric explanation of the finiteness of the entropy and of the proportionality of the area of the horizon.^{[12]}^{[13]} It is possible to derive, from the covariant formulation of full quantum theory (^{[14]} The calculation makes use of the notion of

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