Mohsen Ravanbakhsh wrote:
> 
> 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.

All actual measurements yield rational values.  Using real numbers in the 
equations of physics is probably merely a convenience (since calculus is easier 
than finite differences).  There is no evidence that defining an instantaneous 
state requires uncountable information.

Brent Meeker

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