Hole High
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Is entropy high or low in a black hole?
Just wondering. I guess you can argue either way depending on the arguments you use.
It is high, but only by convention.
In a purely physical sense, black holes have zero entropy, since they have no hair. The mass, charge, rotation, and motion is all that is knowable about them, and all these quantities are accessible to the observer. So there is only one microstate corresponding to its macrostate, so the entropy should be ln(1) = 0.
However, this Bothers Us because it allows any entropy that you throw into a black hole to seemingly disappear. The 2nd Law survives, however, because that entropy is merely stored, not lost. When the black hole evaporates into subatomic particles, those particles will have enormous entropy. Therefore, we cheat a little bit, and we change the definition of entropy from the log of the number of microstates that the black hole has to the log of the number of microstates that its evaporation products *will have* when it evaporates, which, as has been said, happens to be proportional to the surface area of the event horizon.
Yes, it is lovely to be able to make up your own laws of physics, since, after all, that is what I get paid to do for a living.
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Moonbeam presents Mondstrahl (Official video teaser)
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Tags: hole, science, jackson hole highland games, high
January 8th, 2008 in
Dental Supplies