Thus it is reasonable that the black hole entropy should be a monotonic function of area, and it turns out to be simplest such function. ![]() This increasing behavior is reminiscent of thermodynamic entropy of closed systems. One way to understand why is to recall the "area theorem" (Hawking 1971, Misner, Thorne and Wheeler 1973): the event horizon area of a black hole cannot decrease it increases in most transformations of the black hole. It turns out that these three parameters enter only in the same combination as that which represents the surface area of the black hole. How to express the black hole entropy in a concrete formula? It is clear at the outset that black hole entropy should only depend on the observable properties of the black hole: mass, electric charge and angular momentum. So nSo(products) nSo(reactants) The standard entropy change is equal to the sum of the standard entropies of the products minus the sum of the standard entropies of the reactants. Hence it makes sense to attribute entropy to a black hole. In general, the entropy change for a reaction can be determined if the standard entropies of each substance are known. In ordinary physics entropy is a measure of missing information. Thus a black hole can be said to hide information.
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