Re: maximum entropy and the seeking of lowest PE

["Rauber, Joel Phys" <RAUBERJ@mg.sdstate.edu>]

> > > Every system has an ultimate thermodynamic fate as a
> > > black hole, even if the only way to get there is via QM tunneling.
>
> > Case I: no QM allowed; but GR is allowed (i.e. black holes are allowed)
>
> > If the Universe consisted of the "spherical" Sun and the "spherical 
uniform
> > density" earth only, orbiting at roughly the current earth-sun density. 
 The
> > ultimate fate is the earth orbiting the sun and is not a black hole

> The angular momentum of the universe I take to be zero. In an earlier
> posting I alluded to preserving the dynamical integrals. I've found
> since that is not necessary in the case of the universe. Hypothetical
> universes may not end as black holes; my hypothetical universe does!

Leigh,
I'm confused by the above.  Did you mean to just be giving an example of a 
Universe that does end as a black hole? As opposed to saying that all 
possible universes must end as a black hole?

> > Case II:  QM allowed
>
> > Let's say we finally have reached the ultimate state of a black hole  (I'm
> > not agreeing that this has to happen; I'm just examining that particular
> > case).  Then Hawking radiation affect would occur and the BH would 
evaporate
> > away until we had some sort of bath of thermodynamically distributed
> > elementary particles (for the most part) through out the Universe.

> Black holes that big have zero vapor pressure. Hawking radiation
> decreases with increasing mass.

Yes, but it requires infinite mass to have zero vapor pressure, so 
regardless of size, as long as it is finite, there is some vapor pressure; I 
freely admit one will have to wait a long long long time for any significant 
percentage to have evaporated away.  But as a matter of principle . . .

BTW thanks for not pointing out the bad screw-up in what I said after these 
examples, I wrote a quick errata that should appear on the list.

Joel