[FRIAM] Entropy Dux^3

[Sarbajit Roy]

As I am primarily a Mechanical Engineer, who learnt The
Uncertainty Principle in Sem 1, and Thermodynamics 101 in Sem 2, I couldn't
then, nor, now reconcile Boltzmann's
S = k.lnΩ
to all that statistical Omega fuzzy stuff and so stick to the classical
theory which ignores micro/macrostates, and I've  not had issues through my
ignorance..





On Fri, Jul 4, 2025 at 3:00 AM Nicholas Thompson <thompnickson2 at gmail.com>
wrote:

> Thanks Sarbajit,
>
> George and  I have been working on a way of understanding this
> asymmetry which is kinda neat.  Here is George's summary of our
> conversation. The gist of it is that while you can bring chambers to the
> same temperature by heating and compressing, they are in different
> macrostates because aside effect of compression is an increase in density
> which heating does not produce.
> See:
> https://chatgpt.com/canvas/shared/6865db6493e88191a9023926478b3c01
>
> Nick
>
>
>
> On Thu, Jul 3, 2025 at 4:08 PM Sarbajit Roy <sroy.mb at gmail.com> wrote:
>
>> It has been a very long time (too long) since I studied the 2nd law or
>> Shannon. It's all very veiled and foggy just now, however,  I have often
>> wondered if Entropy is fundamentally about ignorance, correlations, or
>> something deeper?
>>
>> On Thu, Jul 3, 2025 at 11:47 PM Nicholas Thompson <
>> thompnickson2 at gmail.com> wrote:
>>
>>> Dear Long Suffering Friamers
>>>
>>> I think I have now managed to come up with a macrostate statement of a
>>> phenomenon that requires entropy for its understanding.  It parallels
>>> Lincoln's aphorism about fooling all of the people.
>>>
>>> *Assuming friction free and quasistatic motion and total insulation
>>> where appropriate:*
>>>
>>> *If you put a bunch of energy into a system by working on it,**you can
>>> recover all that energy as work.*
>>>
>>> *If you put a bunch of energy into a system by heating it,**you can
>>> recover all that energy as heating,*
>>>
>>> *If you put a bunch of energy into a system by working on it,** you can
>>> recover all that energy as heating.*
>>>
>>> *But if you put a bunch of energy into a system by heating, you can NOT
>>> recover all of that energy as work. *
>>>
>>> I think this is the asymmetry that requires the invention of entropy.
>>>
>>> Am I finally getting my Dux in a row?
>>>
>>> Nick
>>>
>>> --
>>> Nicholas S. Thompson
>>> Emeritus Professor of Psychology and Ethology
>>> Clark University
>>> nthompson at clarku.edu
>>> https://wordpress.clarku.edu/nthompson
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>
>
> --
> Nicholas S. Thompson
> Emeritus Professor of Psychology and Ethology
> Clark University
> nthompson at clarku.edu
> https://wordpress.clarku.edu/nthompson
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