Dear Bruno, You mind want to read and consider the implications of this paper and related ones:

## Advertising

http://tph.tuwien.ac.at/~svozil/publ/embed.htm The key passage in it is: *** 4 Summary We have reviewed several options for a classical ``understanding'' of quantum mechanics. Particular emphasis has been given to techniques for embedding quantum universes into classical ones. The term ``embedding'' is formalized here as usual. That is, an embedding is a mapping of the entire set of quantum observables into a (bigger) set of classical observables such that different quantum observables correspond to different classical ones (injectivity). The term ``observables'' here is used for quantum propositions, some of which (the complementary ones) might not be co-measurable, see Gudder [14]. It might therefore be more appropriate to conceive these ``observables'' as ``potential observables.'' After a particular measurement has been chosen, some of these observables are actually determined and others (the complementary ones) become ``counterfactuals'' by quantum mechanical means; cf. Schrödinger's catalogue of expectation values [42]. For classical observables, there is no distinction between ``observables'' and ``counterfactuals,'' because everything can be measured precisely, at least in principle. We should mention also a caveat. The relationship between the states of a quantum universe and the states of a classical universe into which the former one is embedded is beyond the scope of this paper. As might have been suspected, it turns out that, in order to be able to perform the mapping from the quantum universe into the classical one consistently, important structural elements of the quantum universe have to be sacrificed: · Since per definition, the quantum propositional calculus is nondistributive (nonboolean), a straightforward embedding which preserves all the logical operations among observables, irrespective of whether or not they are co-measurable, is impossible. This is due to the quantum mechanical feature of complementarity. · One may restrict the preservation of the logical operations to be valid only among mutually orthogonal propositions. In this case it turns out that again a consistent embedding is impossible, since no consistent meaning can be given to the classical existence of ``counterfactuals.'' This is due to the quantum mechanical feature of contextuality. That is, quantum observables may appear different, depending on the way by which they were measured (and inferred). · In a further step, one may abandon preservation of lattice operations such as not and the binary and and or operations altogether. One may merely require the preservation of the implicational structure (order relation). It turns out that, with these provisos, it is indeed possible to map quantum universes into classical ones. Stated differently, definite values can be associated with elements of physical reality, irrespective of whether they have been measured or not. In this sense, that is, in terms of more ``comprehensive'' classical universes (the hidden parameter models), quantum mechanics can be ``understood.'' *** Am I mistaken in my understanding that this implies BIT /subset QuBIT and NOT QUBIT /subset BIT? Kindest regards, Stephen ----- Original Message ----- From: "Bruno Marchal" <[EMAIL PROTECTED]> To: <[EMAIL PROTECTED]> Sent: Wednesday, August 21, 2002 12:46 PM Subject: Yetter's "Functorial Knot Theory" and the Mind/Body Problem snip > A simplified translation of the mind-body problem can be > made with those conservative views. The MP problem can be seen > as a search of a justification of the BIT-QUBIT relation. > > It is not a too big exaggeration to say that the work by Everett, > Graham, Hartle, Zeh Joos, Kiefer (and others) gives an explanation > of BITS from QUBITS. That is, how classical observers/worlds emerge > from a quantum reality. > > And it is not at all an exaggeration to say my work is an attempt > to explain QUBITS from BITS. Actually I show more and less: > > -More: because my work provides a proof that, IF we take the > comp hyp seriously enough, THEN qubits *must* follow from bits. > This is basically done by the Universal Dovetailer Argument UDA (+ > the Movie Graph Argument if you don't like explicit reference to > OCCAM razor). snip