Thank you for welcoming me Mark,
I agree with you about the problem with the concept of entropy, but not all
your points. Actually I like this hypothesis, and as Bruno put it we might
be able to describe the Why question about physical laws, which is very
interesting.
4) There exist a universal dovetailer (consequence of Church thesis,
but we could drop Church thesis and define comp in term of turing
machine instead).
5) Never underestimate the dumbness of the universal dovetailer: not
only it generates all computational histories, but it generates them
all infinitely often, + all variations, + all "real" oracles (and those
oracles are uncountable).
Let me know where's my mistake:
1.We are referring to one (actually an infinitely long sub-sequence of that)
history of such universal dovetailer, as some state of our world.
2.Because that machine is a TM, a history has to be countable, regardless of
compression or expansion of time to allow infinite power.
3.So we're referring to some state of our universe as a countable one.
4.A universal state is not countable.
Every time a bit is sampled, the Multiverse branches
with the observed bit being 0 or 1 depending on your branch. If you
were to continue for an infinite amount of time, each observer will
have observed a real number. However after any finite amount of time,
all the observers have are rational approximations to real numbers.
But we're talking about uncountability of information necessary to represent
instantaneous state of a universe, not about the uncountability of possible
universes. (Maybe I didn't get your point)
What you are saying just proves that we have uncountable number of
universes.
--
Mohsen Ravanbakhsh,
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Received on Tue Mar 06 2007 - 01:45:19 PST