On Tue, Jan 7, 2014 at 1:24 PM, Jesse Mazer <laserma...@gmail.com> wrote:

> you could have laws where a large number of initial states can all lead
> to the same final state (many cellular automata work this way, specifically
> all the ones whose rules are not "reversible"--for example, in the "Game of
> Life"

Yes that's what irreversible means, there is more than one way to get into
a given state.

> there are many initial states you can choose that will lead all the black
> squares to eventually disappear and leave you with all white squares).

Sometimes the Game of Life ends up oscillating between 2 states, but the
only time it enters a final state is when all the cells have died.
Sometimes you might end up with a oscillation between the initial state and
some other state  but all those examples are trivial and very small (such
as 3 cells in a straight line). Sometimes the Life pattern just keeps on
growing forever, and sometimes the Life pattern can emulate a Turing
Machine. The laws of physics, that is to say the rules of the cellular
automation, are identical in all these examples, but the initial conditions
are different.

If the laws of physics actually make a change in something (and they are
pretty lame laws if they don't) and if the initial conditions of the
universe were very low entropy, and if there are more ways to be
disorganized than organized (and there are) then any change those laws of
physics make will almost certainly lead to a increase in entropy.

John K Clark

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