Re: Dimensions, number of . . . etc

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Posted by ronron on December 07, 19100 at 11:16:19:

In Reply to: Re: Dimensions, number of . . . etc posted by phobos on November 25, 19100 at 18:46:53:

in regard to the previous question about why string
theory is stable in 11 dimensions and then
compactifies a number of them, i would like to ask
a reverse question - how does string theory encompass
quantum mechanics which is formulated in an
infinite dimensional hilbert space ? it seems that
a transfinite cardinality would not be isomorphic
to a set of order 11.

how *do* you map an L-2 metric space of infinite
dimension into a set with 11 dimensions only ?

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