On 1/10/2012 7:48 AM, Bruno Marchal wrote:
In a way, that strong form of CT might already be false with comp, only in the 1p sense
as you get a free random oracle as well as always staying consistent(and 'alive'), but
it's not false in the 3p view...
Yes. Comp makes physics a first person plural reality, and a priori we might be able to
exploit the first plural indeterminacy to compute more function, like we know already
that we have more "processes", like that free random oracle. The empirical fact that
quantum computer does not violate CT can make us doubt about this.
I don't think that is so clear. Nielsen has written some papers on computations in QM
that are not Turing emulable, essentially relying on the fact that QM uses real numbers.
He suggests that QM should be restricted to avoid this kind of hypercomputation by
dropping the assumption that all unitary operators are allowed.
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