--- Charles D Hixson <[EMAIL PROTECTED]> wrote:

> Matt Mahoney wrote:
> > --- Eugen Leitl <[EMAIL PROTECTED]> wrote:
> >
> >   
> >> ...
> >>
> >> A proton is a damn complex system. Don't see how you could equal it with
> one
> >> mere bit.
> >>     
> >
> > I don't.  I am equating one bit with a volume of space about the size of a
> > proton.  The actual number of baryons in the universe is smaller, about
> 10^80.
> >  If you squashed the universe flat, it would form a sheet about one proton
> > thick.  
> >
> > But I am also pointing out a coincidence (or not) of physics.  But you
> will
> > note that the volume of the universe is proportional to T^3, not T^2, so
> if
> > the relation is not a coincidence, then either the properties of the
> proton or
> > one of the other physical constants would not be constant.
> >
> > And BTW I agree that we cannot prove or disprove that the universe is a
> > simulation.
> >
> >
> > -- Matt Mahoney, [EMAIL PROTECTED]
> >   
> FWIW, you could cut down on the computational needs a whole lot if you 
> only simulated one brain and used lazy evaluation to derive anything it 
> might be experiencing.  (Where did all you Zombies come from?)
> 
> For that matter, the simulation could have started only a few 
> nano-seconds ago and might stop now. ...
> 
> Any assumption you make about the nature of the simulation that we might 
> be running on is unverifiable.  (Some of them are falsifiable.)

A while back I described 5 scenarios for a simulated universe in order of
decreasing algorithmic complexity, and therefore in increasing order of
likelihood (given a Solomonoff distribution).  But as the complexity
decreased, the amount of computation increased.  I concluded that the most
likely scenario was an enumeration of all Turing machines, whose algorithmic
complexity is K(N), the complexity of the set of natural numbers (very small).

And no, I don't know what is doing this computation (turtles all the way
down).  But it is a general property of agents in a simulation that they lack
the computational power to model their environment, whether finite or
infinite.  So it would be surprising if I did know.


-- Matt Mahoney, [EMAIL PROTECTED]

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