Dear CMR, ----- Original Message ----- From: "CMR" <[EMAIL PROTECTED]> To: <[EMAIL PROTECTED]> Sent: Tuesday, January 20, 2004 6:46 PM Subject: Re: Is the universe computable?
> Greetings Stephen, > > >BTW, have you ever read about the Maxwell Demon? > > Being partial to the information physical view; not only have I read it, I > also account for it by viewing a system's information as physical. > [SPK] Ok, but what about the fact that there does not exist a unique representation for a given physical object, unless one is going to restrict oneself to a Turing computable world and use the Kolmogorov notion. Doing this is problematic because it requires that all of a given object's properties be both enumerable and pre-specifiable. QM, as I understand it, disallows this in most cases. Consider the problem of computing the Unitary evolution of a DNA molecule's wave function. Think of it this way, what is the cardinality of the equivalence class of representations R of, say, a 1972 Jaguar XKE, varying over *all possible languages* and *symbol systems*? I think it is at least equal to the Reals. Is this correct? If R has more than one member, how can we coherently argue that "information is physical" in the material monist sense? > So by inference should then I be viewing the mapping of the intra and extra > universal resources as informational in "nature"? In that the implementation > "informs" (and thus constrins?) the evolution of our toy universe? > [SPK] What if the "informing" and "constraining" (?) is done, inter alia, by the systems that "use up" the universal resources? What if, instead of thinking in terms of a priori existing solutions, ala Platonia, if we entertain the idea that the *solutions are being computation in an ongoing way* and that what we experience is just one (of many)stream(s) of this computation. Such a computation would require potentially infinite "physical resources"... Would it be to much to assume that all we need to assume is that the "resources" (for Qcomputations, these are Hilbert space dimensions) are all that we have to assume exists a priori? Does not Quantum Mechanics already have such build in? Stephen