Physicists may distinguish between time-reversibility of the dynamics, also
called "microscopic reversibility" at
https://en.wikipedia.org/wiki/Microscopic_reversibility , vs. "macroscopic"
or "thermodynamic" irreversibility, which as you say is ultimately thought
to be a statistical consequence of the low-entropy conditions at around the
time of the Big Bang. But from the dynamical point of view you could have a
valid solution with a universe that's been eternally contracting towards a
Big Crunch, with a low-entropy state near the Big Crunch, which would be
the time-reverse of our universe's evolution. Huw Price's book Time's Arrow
and Archimedes' Point has a good discussion of the issues surrounding
microscopic reversibility vs. thermodynamic irreversibility, and the role
of low-entropy boundary conditions.

On Sat, Aug 6, 2022 at 7:02 AM John Clark <[email protected]> wrote:

> On Fri, Aug 5, 2022 at 6:47 PM Jesse Mazer <[email protected]> wrote:
>
> *> But when physicists say that a given system's dynamics are "reversible"
>> doesn't this generally involve an appeal to different initial boundary
>> conditions?*
>>
>
> If at the time of the Big Bang the universe was it in an extremely low
> entropy state then even if the laws of physics were 100% deterministic
> and even if X and Y always produced Z and nothing except X and Y could
> produce Z the second law of thermodynamics would still insist that things
> are irreversible because there are an astronomical number to an
> astronomical power more ways for something to have high entropy than low
> entropy.
>
> John K Clark    See what's on my new list at  Extropolis
> <https://groups.google.com/g/extropolis>
> 2le
>
>
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