meekerdb wrote:

On 11/6/2014 3:15 PM, LizR wrote:

On 7 November 2014 09:56, meekerdb <[email protected] <mailto:[email protected]>> wrote:

    I'd say that expansion of the universe is almost necessary, not
    contingent.  The AoT has to point in the direction of entropy
    increase and in almost all models that's correlated to the
    expansion of the universe.  If it is bigger at one time than at
    another then the AoT will point toward the bigger end.  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, at least until the total entropy equals the Bekenstein
    bound.  Or on the other possibility, L.S. Schulmann has written a
    nice little book about his investigation of universes in which the
    AoT reverses so it always points to the biggest phase of the universe.
Yes, that is indeed exactly the position I have long argued for on this very forum.

To summarise my argument, which has at times been vigorously opposed, I think by you amongst others,

Not me.  I helped edit Vic Stenger's books that presented exactly that view.

but not yet actually shot down (kaon decay comes closest, but doesn't appear to be very important in generating the AOT, although it's possible it actually had/has a pivotal role we're unaware of).

a) the universe is expanding for some reason, possibly necessary in the sense of being built into the laws of physics (e.g. as a result of eternal inflation ... perhaps?) - or perhaps contingent, that is to say not mandated by the laws of physics, but maybe the result of some symmetry breaking etc.

You seem to overlook that the "expansion" is very likely just tautological, i.e. it is nomologically necessary that the AoT points in the direction of bigger.

No, it points in the direction of higher entropy. As I recall it, Vic later recanted his earlier idea that the AoT reversed if the universe began to re-contract.

Anyway, that is purely academic. With with known magnitude of dark energy, the universe will expand for ever, even if it is technically closed (k = +1).

Bruce





b) all the other things regarded as the AOT emerge from (a). I have given details of this at some length on previous occasions, but briefly it's that various bound states (nucleons, galaxies etc) can emerge from the cooling caused by the universal expansion.

Right. Because the universe expanded very rapidly it is very far from equilibrium. The actual entropy is at least 22 orders of magnitude smaller than the maximum possible entropy. Being far from equilibrium leads to complex structures.

Brent

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