On 13 November 2014 18:57, LizR <[email protected]> wrote:

> > There appears to be a discrepancy between entropy as it is ascribed to
>> black holes and entropy in the form of configurations of mass-energy far
>> from thermodynamic equilibrium. Black hole entropy appears to be a
>> fundamental feature of physics, while the other sort only emerges due to
>> coarse graining. I'd be interested to know if anyone can shed any light on
>> this apparent discrepancy.
>>
>
I'm not sure what you mean that there are 2 types of Entropy, it always
works the same way. The Entropy of a Black Hole (and the Entropy of
anything else) is Boltzmann's  constant time the logarithm of the number of
ways the Black Hole could have gotten into the state it's in now. The
reason we use a logarithm in the definition is we want to be able to say
that the total Entropy of the combined system X and Y is the Entropy of X
PLUS the Entropy of Y,  if we didn't use logarithms it would be X times Y.
For example, if system X could have gotten to the way it is now in 3
different ways and system Y could have gotten to the way it is now in 5
different ways then the combined system could have gotten to the way it is
now in 3*5 =15 different ways, but ln 3 + ln 5 = ln 15.

Any constant could be used but it is convenient to use Boltzmann's constant
because it's nice if Entropy is in units of energy/temperature.


  John K Clark

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