On Saturday, November 15, 2014 4:57:14 PM UTC, John Clark wrote:
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> On Fri, Nov 14, 2014 at 5:23 PM, meekerdb <[email protected] 
> <javascript:>> wrote:
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> > "The numbers of ways the system could have gotten to the way it is" 
>> isn't the usual formulation
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> If you want to say that Entropy is proportional to the number of 
> microstates that produce the same macrostate then it's also proportional to 
> the number of precursor states.
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> > and I think it's ambiguous.  In general there are arbitrarily many 
>> possible histories and different possible starting points. 
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> Unless you're talking about hypothetical new physics there are not 
> arbitrarily many previous states that could have produced the present 
> state, just a astronomical number.
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> > Boltzmann's formulation was the logarithm of the numbers of possible 
>> states consistent with constraints defining the system, e.g. its total 
>> kinetic energy
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> Entropy is inversely proportional to work not kinetic energy. A box of gas 
> may have a lot of kinetic energy because all the atoms in it are moving 
> around  at high speed, but they're all moving in different directions, 
> Entropy is a measure of how well all that activity can be translated into 
> moving something in just one direction (work). The higher the Entropy the 
> less work you can get out of it with the same heat sink
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> > In the case of a BH the constraints are its classical defining 
>> parameters: mass, angular momentum, and electric charge. 
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> Yes, a Black Hole is the simplest macroscopic thing in the universe, just 
> 3 numbers tells you all there is to know about a particular one; but there 
> are a gargantuan number of ways that Black Hole could have formed, perhaps 
> it was made by putting a lot of sand together in one place, or 
> encyclopedias or too many puppy dogs, it doesn't matter. And that's why 
> Black Holes have such a enormous Entropy.  
>

 Would you help me to understand this? 

It's just that I'm seeing the number of ways a black hole could have formed 
as a non-physical conception that depends ....some kind of information 
deficit across the event horizon. 

Like, if I have special information...like maybe a theory....that 
eliminates 50 percent of the ways a specific black hole could have formed, 
by some process of elimination. The entropy should now physically read half 
what it did to start with. 
 



 

  John K Clark
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>  Classically there is no finer grained description, so that's what seems 
> to make BH entropy more fundamental that the usual thermodynamic system.
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>>
>> Brent
>>  
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