On 7 November 2014 14:59, Bruce Kellett <[email protected]> wrote:

> 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.


It's the opposite assumption. A quark-gluon plasma at a few trillion
degrees should rapidly tend towards thermodynamic equilibrium, given the
chance. Deriving the AOT from the expansion should let the AOT emerge from
almost any initial conditions, because it basically says that the universe
has no need to start in a low entropy state. It can start in a state near
maximum entropy, then chase behind the entropy ceiling, which is
continually raised by the expansion. Another way to look at this is that
expansion makes more states available for the system to explore. The
universe starts with a limited number of available states and wanders
amongst them, probably reaching a state of high entropy in the process. In
the meantime, the expansion brings more available states into existence -
phase space expands, so to speak, as well as real space. The universe
continues to explore its options, doing a drunkard's walk through the
available states for billions of years, always tending towards higher
entropy, while the number of states available to explore continues to
increase.


> The question remains as 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.
>
> I don't think anyone is in a position to answer that question, but
certainly inflation (eternal or otherwise) naturally produces a very smooth
background. But somewhat lumpy backgrounds should work. This is a question
of the timescales involved, I imagine - the relaxation time of a volume of
matter against the expansion time. I'm not in a position to answer that.
Maybe someone else can (Brent?) However the bottom line is that deriving
the AOT from the cosmic expansion doesn't require any particular special
starting state. It appears that the universe did in fact have a special
(smooth) starting state, however, which is why it's a natural assumption
that this must be connected to the AOT. But there's no particular reason
for this to be a necessary condition that I can see - one can get an
expansion derived AOT from many initial conditions, simply because
expansion raises the entropy ceiling constantly. So the smooth start is an
interesting piece of data that may relate to inflation or whatever, but not
necessarily to the AOT. No doubt it affects the way the AOT plays out -
similarly all over the universe, presumably, rather than some regions being
ahead or behind others.

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