On Sun, Oct 18, 2020 at 11:11 AM Alan Grayson <[email protected]> wrote:
*> In Boltzmann's formula for entropy, gravity isn't a parameter.* Gravity can be Ignored in some situations, such as those Boltzmann could have performed in his lab, but not in other situations, such as in the very early universe, or in the present day where a large cloud of gas and dust has only just started to form a star. Consistent with quantum mechanics every part of the very early universe was as dense as any other part of the universe; in a world that obeys the laws of quantum mechanics and things were that smooth there is only one state that universe could have been in, and therefore it had to have extremely low entropy. When things started to clump together the entropy increased and it's been increasing ever since. > *> **I think entropy only depends on the number of possible microstates, > and therefore on the volume. AG * > That is correct, but Science marches on and now we know something that Boltzmann did not, in our expanding accelerating universe new volume is constantly being created and so a maximum entropy level will never be reached and the second law of thermodynamics will ALWAYS remain true. Entropy will NEVER stop increasing. John K Clark > > The early universe was very smooth but, due to random quantum variations, >> not perfectly smooth. So some parts of the universe had very slightly more >> mass/energy than other parts. As time progressed, because of gravity, the >> slightly denser regions pulled in slightly more particles into themselves >> than the slightly less dense regions did, and so those tiny variations >> started to grow larger. As a result of that growth of variations entropy >> increased and the Universe never again reached the very low entropy level >> it had when it was young. >> >> *> For a given volume, the entropy is what it is, related to the possible >>> microstates as given by Boltzmann's formula. If the volume increases, the >>> entropy increases, and it starts at a maximum level depending on the volume >>> of the very early universe. So I see no distinguishing the Actual Entropy >>> from the Maximum Possible Entropy. AG* >> >> >> The point is that if the universe is expanding (and accelerating) then >> there is no such thing as the universe having a Maximum Possible Entropy, >> whatever entropy value you give me no matter how large I can show you a >> time when the universe will have an even larger entropy. >> > > *The concept of Maximum Possible Entropy was introduced by Jason, via his > reference, and shown schematically in his diagram. Supposedly it can be > compared with actual entropy at any time. I have no idea what this means. > AG * > >> >> John K Clark >> > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To view this discussion on the web visit > https://groups.google.com/d/msgid/everything-list/198293d3-75a7-48c9-9dd6-c7bc31e328aao%40googlegroups.com > <https://groups.google.com/d/msgid/everything-list/198293d3-75a7-48c9-9dd6-c7bc31e328aao%40googlegroups.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAJPayv1WbSLF3-UK6i0gsvDLCnmo01V5CAGk%2Bmtr96iy%2BQxd4Q%40mail.gmail.com.
