Am Donnerstag, den 06.03.2008, 12:59 -0800 schrieb Ron Garret:
> In fact, if pi is normal
> (which mathematicians strongly suspect but have been unable to prove)
> then the entire state of the universe is representable by an index into
> the extended fractional representation of pi, which is deterministically
> computable (by a fairly small bit of code too).
Yes, but it does not gain you anything: to give that index, you'll need
as many bits as you'd need to describe that universe state directly.
(That's also the refutation of the "monkey typewriter" model: the
monkeys will reproduce Hamlet sooner or later, but to select the right
result from all the junk, you'll need as many bits as you need to
represent "Hamlet" directly.)
Regards,
Jo