**From:** scerir (*scerir@libero.it*)

**Date:** Sun Jun 01 2003 - 16:59:51 MDT

**Previous message:**Alex Ramonsky: "Re: The good ship Extro 1"**In reply to:**Alfio Puglisi: "Re: Nick Bostrom on slashdot"**Next in thread:**Spudboy100@aol.com: "Re: Nick Bostrom on slashdot"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]

Alfio:

*> I have to rectract my statement. Some interesting comments are being
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*> written, and someone is speculating that Quantum effects (and the whole
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*> QM) is an artifact of experiments reaching the maximum "resolution" of the
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*> simulation.
*

Whether or not quantum randomness corresponds to an essential

uncomputability (Chaitin non compressibility) and, thus,

forbids any usual simulation, is still an open question.

Anyway 'physical' properties corresponding to 'experimental' propositions

are identified, in the quantum domain, with 'projection operators'

on the Hilbert space. Thus the Hilbert lattice corresponds to a lattice

of experimental propositions. The algebraic relations and

operations between these experimental propositions are called

'calculus of propositions'. Hilbert lattice and calculus of propositions

should be equivalent. Note, btw, that there is no recursive enumeration

of the axioms of Hilbert lattices.

Now, it is not unreasonable asking something like: do we live in a

quantum universe created by some universal computation?

To test such speculation, it seems that we must look for phenomena

which correspond to a 'calculus of propositions' *not* contained

in a Hilbert lattice. Are there these phenomena? Miracles? :-)

Another interesting way to look at those questions is this.

Determinism is 'defined' as a property of certain theories

according to which the initial conditions of a system

determine, completely, its future evolution and observations.

The probabilistic character of some predictions is entirely

due to some uncertainty we have about initial conditions.

Now the point is that given *any* probability distribution

of some (say n) measurements results it is possible to

construct a *deterministic* theory with hidden variables

that predicts that probability distribution. As far as I know

if we allow 'non-locality'(velocity > c) this is true also

in the case of quantum theory. (I think that John Bell performed

many Montecarlo simulation of quantum events.)

**Next message:**Alex Ramonsky: "Re: Nature via Nurture: What makes you who you are."**Previous message:**Alex Ramonsky: "Re: The good ship Extro 1"**In reply to:**Alfio Puglisi: "Re: Nick Bostrom on slashdot"**Next in thread:**Spudboy100@aol.com: "Re: Nick Bostrom on slashdot"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]

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