On 8 November 2014 16:53, John Clark <[email protected]> wrote:

> On Thu, Nov 6, 2014 at 3:56 PM, meekerdb <[email protected]> wrote:
>
>  > I'd say that expansion of the universe is almost necessary, not
>> contingent.
>>
>
> I'd say that by about 1850 when people started to have a understanding of
> what Entropy was physicists had all they needed to have known that the
> universe must have started out in a very very low entropy state, that is to
> say they could have predicted the Big Bang in the early to mid 19th
> century; and they wouldn't have needed to go near a telescope to do so. But
> unfortunately they didn't, it's one of the great failures of nerve or
> imagination in the history of science.
>

Another feature of the big bang / expanding universe is that it continually
raises the entropy ceiling (maxium entropy that can exist in a given
volume).

>
> > The AoT has to point in the direction of entropy increase
>>
>
> But the question is WHY does time point in the direction of entropy
> increase. The answer is because in the first instant of time the universe
> was in a extraordinarily low entropy state, probably as low as it could
> get, and because there are vastly more disordered (high entropy) states
> than ordered (low entropy) states. So regardless of what the laws of
> physics were by the second instant of time the chances are overwhelming
> that entropy will be higher than it was at the first instant.
>

The universe could potentially start in a state of maximum entropy (at
least in terms of the equilibrium of mass-energy) and still move to states
where things can happen (if there are *any* inhomogeneities). Gravitational
entropy is trickier, as it would tend to indicate the universe should start
as a black hole (although that would never actually start...) But the rest
 of the AOT can be handled by the entropy ceiling being continually raised,
almost regardless of initial conditions.

>
> If instead in the first instant of time the universe was in a very high
> entropy state then in the second instant Entropy could have been smaller or
> larger with about equal probability and there would be no second law of
> thermodynamics and time would have no arrow.
>
> > I say "almost" because there are some ways around it.  If the universe
>> recontracts the AoT will probably continue to point toward the Big Crunch
>>
>
> Even if that were true time would still have a arrow, it would just be
> pointing in the opposite direction we are accustomed to. But why should
> time have a preferred direction at all? The laws of physics alone can not
> explain it nor is there any reason to expect that they should. Even if you
> know all the laws of physics there is to know you still can't predict what
> a system is going to do tomorrow unless you know what state it is in today;
> you've got to know the initial conditions. The laws of physics can explain
> why Entropy will be higher tomorrow than today, but it can't explain why it
> was lower yesterday than today, for that you need initial conditions.
>
> True, although (see above) I think we can sneak around requiring any
"implausibly low entropy starting conditions".

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