On Fri, Nov 07, 2014 at 12:59:28PM +1100, Bruce Kellett wrote:
> LizR wrote:
> >On 7 November 2014 12:32, Bruce Kellett <[email protected]
> ><mailto:[email protected]>> wrote:
> >
> >    I have not seen your arguments for this, being new to the list, but
> >    the expansion of the universe is a universal consequence of general
> >    relativity. So it is built into the laws of physics, and has nothing
> >    to do with whether or not there ever was a period of rapid inflation.
> >
> >
> >Expansion or collapse is a consequence of GR, certainly. However I
> >was thinking on a larger scale with the EI comment, since EI seems
> >to necessitate the existence of expanding universes. Not sure that
> >it can be counted as a TOE though, so it's still in need of
> >ultimate explanation..
> >
> >    The AoT comes from the third law of thermodynamics and has little to
> >    do with the expansion of the universe. Entropy increases in the same
> >    direction as the expansion solely because the universe 'began' in a
> >    state of very low entropy. (The Past Hypothesis).
> >
> >I didn't realise there was a 3rd law, but anyway - saying the U
> >began in a low entropy state begs the question - why did it? The
> >big bang fireball was more or less in thermodynamic equilibrium as
> >far as I know, and if it had stopped expanding it would have
> >rapidly reached that stage. My point is to explain the
> 
> 
> Sorry -- typo. I meant the second law, of course.
> 
> I agree that the past hypothesis, while it explains the
> thermodynamic AoT, itself stands in need of explanation. This is the
> great unsolved problem of cosmology -- at least according to many
> cosmologists. The initial big bang might be assumed to be in
> thermodynaic equilibrium, but that is essentially the same
> assumption as the assumption of low entropy. The question remains as

Thermodynamic equilibrium is at maximum entropy.

This leads me into commenting on your post slightly earlier in this
thread - expansion of the universe is coupled to th second law in that
it allows a universe initially at maximum entropy (thermodynaic
equilibrium) to evolve into a universe not at maximum entropy, but
never have entropy decrease, so satisfying the second law.

The equation is S_max = S+C, where S_max grows as the universe
expands, and S=S_max indicated thermodynamic equlibrium. The value C
indicates complexity, or information content of the universe, and is
the bit we find interesting. I think this is Dewar's equation - but it
may also possibly be attributable to Brillouin, who pointed out that C
could be considered to be Shroedinger's "negentropy".

The point being that we can have both dS/dt > 0 (2nd law) and dC/dt >
0 (evolution of complexity), but only in an expanding universe
dS_max/dt > 0.


> to why it was in equilibrium. Generic creation events might
> actuallybe expected to produce extremely lumpy universe down to the
> smallest scaels. I.e., state with very high entropy.
> 
> Bruce
> 
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