![]() In 1973 Bekenstein suggested ln 2 0.8 π ≈ 0. In 1972, Jacob Bekenstein conjectured that black holes should have an entropy, where by the same year, he proposed no-hair theorems. The increase of the entropy of the black hole more than compensates for the decrease of the entropy carried by the object that was swallowed. If black holes carried no entropy, it would be possible to violate the second law by throwing mass into the black hole. The second law of thermodynamics requires that black holes have entropy. Lecture 6: Entropy MatthewSchwartz StatisticalMechanics,Spring2019 Lecture6:Entropy 1Introduction Inthislecture,wediscussmanywaystothinkaboutentropy.Themostimportantandmostfamous propertyofentropyisthatitneverdecreases S tot>0 (1) Here, S totmeansthechangeinentropyofasystemplusthechangeinentropyofthesurroundings. ![]() An artist's depiction of two black holes merging, a process in which the laws of thermodynamics are upheld Overview As the study of the statistical mechanics of black-body radiation led to the development of the theory of quantum mechanics, the effort to understand the statistical mechanics of black holes has had a deep impact upon the understanding of quantum gravity, leading to the formulation of the holographic principle. ![]() ![]() dS is the total entropy-change and dQ/T is the reversible part. The second law states, that the entropy production is positive, i.e. In physics, black hole thermodynamics is the area of study that seeks to reconcile the laws of thermodynamics with the existence of black hole event horizons. Therefore, we have the reversible entropy change of dS rev dQ T and an irreversible part. ![]()
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